<?xml version="1.0" encoding="UTF-8"?><article xml:lang="en" article-type="research-article"><front><journal-meta><journal-id journal-id-type="pmc-domain-id">3941</journal-id><journal-id journal-id-type="pmc-domain">plantphen</journal-id><journal-title-group><journal-title>Plant Phenomics</journal-title><abbrev-journal-title>Plant Phenomics</abbrev-journal-title></journal-title-group><publisher><publisher-name>Nanjing Agricultural University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmcid">PMC12710021</article-id><article-id pub-id-type="pmcaid">12710021</article-id><article-id pub-id-type="pmcaiid">12710021</article-id><article-id pub-id-type="pmid">41415959</article-id><article-id pub-id-type="doi">10.1016/j.plaphe.2025.100017</article-id><title-group><article-title>Genetic resolution of multi-level plant height in common wheat using the 3D canopy model from ultra-low altitude unmanned aerial vehicle imagery</article-title></title-group><contrib-group content-type="author"><contrib><name name-style="western"><surname>Fei</surname><given-names initials="S">Shuaipeng</given-names></name><xref ref-type="aff" rid="aff1">a</xref><xref ref-type="aff" rid="aff2">b</xref><xref rid="fn1" ref-type="author-notes">1</xref></contrib><contrib><name name-style="western"><surname>Jia</surname><given-names initials="Y">Yidan</given-names></name><xref ref-type="aff" rid="aff2">b</xref><xref ref-type="aff" rid="aff3">c</xref><xref rid="fn1" ref-type="author-notes">1</xref></contrib><contrib><name name-style="western"><surname>Li</surname><given-names initials="L">Lei</given-names></name><xref ref-type="aff" rid="aff2">b</xref></contrib><contrib><name name-style="western"><surname>Xiao</surname><given-names initials="S">Shunfu</given-names></name><xref ref-type="aff" rid="aff1">a</xref></contrib><contrib><name name-style="western"><surname>Song</surname><given-names initials="J">Jie</given-names></name><xref ref-type="aff" rid="aff5">e</xref></contrib><contrib><name name-style="western"><surname>Yang</surname><given-names initials="S">Shurong</given-names></name><xref ref-type="aff" rid="aff2">b</xref></contrib><contrib><name name-style="western"><surname>Wang</surname><given-names initials="D">Duoxia</given-names></name><xref ref-type="aff" rid="aff2">b</xref></contrib><contrib><name name-style="western"><surname>Sun</surname><given-names initials="G">Guangyao</given-names></name><xref ref-type="aff" rid="aff1">a</xref></contrib><contrib><name name-style="western"><surname>Zhang</surname><given-names initials="B">Bohan</given-names></name><xref ref-type="aff" rid="aff2">b</xref></contrib><contrib><name name-style="western"><surname>Wang</surname><given-names initials="K">Keyi</given-names></name><xref ref-type="aff" rid="aff4">d</xref></contrib><contrib><name name-style="western"><surname>Ma</surname><given-names initials="J">Junjie</given-names></name><xref ref-type="aff" rid="aff4">d</xref></contrib><contrib><name name-style="western"><surname>Liu</surname><given-names initials="J">Jindong</given-names></name><xref ref-type="aff" rid="aff2">b</xref></contrib><contrib><name name-style="western"><surname>Xiao</surname><given-names initials="Y">Yonggui</given-names></name><xref ref-type="aff" rid="aff2">b</xref><xref rid="cor2" ref-type="author-notes">⁎⁎</xref></contrib><contrib><name name-style="western"><surname>Ma</surname><given-names initials="Y">Yuntao</given-names></name><xref ref-type="aff" rid="aff1">a</xref><xref rid="cor1" ref-type="author-notes">⁎</xref></contrib></contrib-group><aff id="aff1"><label>a</label>College of Land Science and Technology, China Agricultural University, Beijing, 100193, China</aff><aff id="aff2"><label>b</label>National Wheat Improvement Centre, Institute of Crop Sciences, Chinese Academy of Agricultural Sciences, Beijing, 100081, China</aff><aff id="aff3"><label>c</label>College of Agronomy, Northwest A&amp;F University, Yangling, 712100, Shaanxi, China</aff><aff id="aff4"><label>d</label>Institute of Environment and Sustainable Development in Agriculture, Chinese Academy of Agricultural Sciences, Beijing, 100081, China</aff><aff id="aff5"><label>e</label>College of Agriculture, Henan Key Laboratory of Hybrid Wheat, Henan Institute of Science and Technology, Xinxiang, 453003, China</aff><author-notes><fn id="cor1"><label>⁎</label><p>Corresponding author. <email>yuntao.ma@cau.edu.cn</email></p></fn><fn id="cor2"><label>⁎⁎</label><p>Corresponding author. <email>xiaoyonggui@caas.cn</email></p></fn><fn id="fn1"><label>1</label><p id="ntpara0010">Shuaipeng Fei and Yidan Jia contributed equally to this work.</p></fn></author-notes><pub-date><day>27</day><month>2</month><year>2025</year></pub-date><volume>7</volume><issue>1</issue><fpage>100017</fpage><page-range>100017</page-range><pub-history><event event-type="pmc-release"><date><day>18</day><month>12</month><year>2025</year></date></event></pub-history><permissions><copyright-statement>© 2025 The Authors</copyright-statement><license><license-p>This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).</license-p></license></permissions><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="main.pdf" content-type="pmc-pdf"><?cloudpmc-path 613c/12710021/7473d4073f7e/main.pdf?><?cloudpmc-bucket app?><?size 6673637?></self-uri><abstract id="abs0010"><title>Abstract</title><p>In quantitative genomic analysis of wheat plant height (PH), the average height of a few representative plants is typically used to represent the PH of the entire plot, which overlooks the variation in height among other plants. Extracting different height quantiles from canopy point clouds can address this limitation. For this purpose, low-cost UAV cross-circling oblique (CCO) imaging, combined with structure-from-motion (SfM) and multi-view stereopsis (MVS), was employed to generate precise canopy point clouds for 262 F5 recombinant inbred lines (Zhongmai 578 ​× ​Jimai 22) across seven environments. Multi-level 3D-PH measurements were extracted from six height quantiles, revealing a strong correlation (mean <italic>r</italic> ​= ​0.95) between 3D-PH and field-measured PH (FM-PH) across environments. The 90 ​% and 92 ​% height quantiles showed the closest agreement with FM-PH compared to other quantiles. Eleven stable quantitative trait loci (QTLs) associated with multi-level 3D-PH were identified using a 50K single nucleotide polymorphism array. Among these, <italic>QPhzj.caas-3A.2</italic> (detected by 3D-PH) and <italic>QPhzj.caas-7A.1</italic> (detected by both FM-PH and 3D-PH) represented potential novel loci. KASP markers for these QTLs were developed and validated. Furthermore, within the intervals of <italic>QPhzj.caas-5A</italic> and <italic>QPhzj.caas-3B</italic> (both were detected by 3D-PH), two candidate genes associated with PH regulation were identified: <italic>TaGL3-5A</italic> and <italic>Rht5</italic>, respectively. Corresponding KASP markers for these genes were also developed and validated. This study highlighted the advantages of 3D model and multi-level 3D-PH in elucidating the genetic basis of crop height, and provided a precise and objective basis for advancing wheat breeding programs.</p><sec id="kwrds0010" sec-type="kwd-group" disp-level="2"><p><bold>Keywords:</bold> RGB image, 3D reconstruction, UAV photography, Quantitative trait loci, Breeding</p></sec></abstract><custom-meta-group><custom-meta><meta-name>status</meta-name><meta-value>released</meta-value></custom-meta><custom-meta><meta-name>display-pdf</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>is-olf</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-manuscript</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-preprint</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-journal-matter</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-scanned</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-retracted</meta-name><meta-value>no</meta-value></custom-meta></custom-meta-group></article-meta><notes notes-type="article-notes"><sec id="historyarticle-meta1" sec-type="history" disp-level="2"><p>Received 2024 Jun 24; Revised 2024 Nov 30; Accepted 2025 Jan 4; Collection date 2025 Mar.</p></sec></notes></front><body><sec id="sec1" disp-level="1"><label>1.</label><title>Introduction</title><p id="p0010">Wheat (<italic>Triticum aestivum</italic> L.) is one of the most important staple food crops, providing approximately one-fifth of the calories consumed by humans [<xref rid="bib1" ref-type="bibr">1</xref>]. Plant height (PH) in wheat is a critical agronomic trait that influences both plant architecture and yield [<xref rid="bib2" ref-type="bibr">2</xref>]. Excessively tall wheat plants are prone to overgrowth, which can lead to lodging and reduced yields. Conversely, overly short plants may result in overcrowded canopy leaves, negatively affecting photosynthetic efficiency and ultimately reducing biomass. This insufficient biomass fails to meet the plant's energy demands, further lowering yields [<xref rid="bib3" ref-type="bibr">3</xref>]. Therefore, maintaining an optimal PH is essential for successful wheat cultivation. During the 1960s and 1970s, the widespread adoption of dwarfing genes, combined with increased fertilizer use, played a pivotal role in boosting wheat yields, marking a period often referred to as the “Green Revolution” in wheat breeding [<xref rid="bib3" ref-type="bibr">3</xref>,<xref rid="bib4" ref-type="bibr">4</xref>]. Advances in irrigation technology have lowered wheat PH to favorable levels, even for high-yield varieties. However, controlling this trait remains a key objective in modern breeding programs [<xref rid="bib5" ref-type="bibr">5</xref>]. With the rapid advancement of wheat genome sequencing technologies and the widespread adoption of high-throughput genotyping methods, the localization and cloning of genes have become increasingly efficient and rapid [<xref rid="bib6" ref-type="bibr">6</xref>]. To date, 26 dwarfing genes (<italic>Rht1-Rht26</italic>) have been identified in wheat [<xref rid="bib7" ref-type="bibr">[7]</xref>, <xref rid="bib8" ref-type="bibr">[8]</xref>, <xref rid="bib9" ref-type="bibr">[9]</xref>]. Among these, <italic>Rht1</italic>, <italic>Rht2</italic>, <italic>Rht8</italic>, and <italic>Rht24</italic> have been cloned and are extensively utilized in high-yield breeding programs [<xref rid="bib2" ref-type="bibr">2</xref>,<xref rid="bib10" ref-type="bibr">10</xref>,<xref rid="bib11" ref-type="bibr">11</xref>]. Therefore, in order to meet the urgent needs of modern breeding, it is crucial for wheat breeding efforts to identify and analyze genetic loci closely associated with PH and to actively develop functional markers [<xref rid="bib6" ref-type="bibr">6</xref>].</p><p id="p0015">Accurate and unbiased phenotypic data plays a crucial role in extracting meaningful genetic insights. Traditional methods of measuring PH in the field are often tedious and labor-intensive [<xref rid="bib12" ref-type="bibr">12</xref>], typically involving the use of a tape measure to get the distance from the base to the apex of the plant. This conventional approach is prone to errors due to subjective judgments and visual assessments [<xref rid="bib13" ref-type="bibr">13</xref>,<xref rid="bib14" ref-type="bibr">14</xref>], which hinders the translation of genome-to-phenome knowledge [<xref rid="bib5" ref-type="bibr">5</xref>]. Recently, the use of canopy 3D models has gained increasing attention for measuring PH in various crops [<xref rid="bib15" ref-type="bibr">[15]</xref>, <xref rid="bib16" ref-type="bibr">[16]</xref>, <xref rid="bib17" ref-type="bibr">[17]</xref>, <xref rid="bib18" ref-type="bibr">[18]</xref>]. These cutting-edge methodologies offer several advantages over traditional methods. Firstly, they eliminate the need for manual measurements, thereby reducing labor costs and minimizing human errors. Secondly, they provide a more comprehensive and precise representation of PH by capturing intricate 3D details of the canopy. There is a strong correlation between PH obtained with 3D models and manual measurements for staple crops such as maize [<xref rid="bib19" ref-type="bibr">19</xref>], wheat [<xref rid="bib12" ref-type="bibr">12</xref>], soybean [<xref rid="bib20" ref-type="bibr">20</xref>], and sorghum [<xref rid="bib21" ref-type="bibr">21</xref>]. This highlights the potential of 3D models as a crucial tool for genetic research and crop improvement initiatives. PH can vary significantly within an individual plot. Traditional methods often rely on measuring plants of a specific height to represent the PH of the entire plot, thereby overlooking variations within the plot. In contrast, accurate 3D models can utilize height quantiles to extract PH values at multiple levels within a plot, which is challenging to achieve with manual measurements. This approach enriches PH data and provides a more complete picture of crop growth and variability.</p><p id="p0020">Canopy 3D models are typically generated using either LiDAR or multi-view RGB images [<xref rid="bib22" ref-type="bibr">22</xref>]. LiDAR is a popular active remote sensing technology that utilizes laser ranging to penetrate and refine the internal structure of canopies. LiDAR is unaffected by varying light conditions [<xref rid="bib14" ref-type="bibr">14</xref>], and is highly regarded for its ability to produce realistic 3D representations of objects without requiring complex reconstruction processes. However, due to the involvement of the high-end optics, lasers, and electronics, LiDAR sensors are relatively expensive [<xref rid="bib23" ref-type="bibr">23</xref>], which limits their widespread adoption in breeding programs at all levels. Structure from motion (SfM) is a passive 3D reconstruction method that uses multiple overlapping 2D images from a single RGB camera to create detailed 3D models [<xref rid="bib16" ref-type="bibr">16</xref>]. It offers a cost-effective alternative to LiDAR, delivering accurate reconstructions without expensive equipment [<xref rid="bib24" ref-type="bibr">24</xref>]. SfM is often combined with multi-view stereopsis (MVS) in the SfM-MVS pipeline to convert sparse point clouds into dense representations [<xref rid="bib25" ref-type="bibr">25</xref>]. This algorithm has been successfully applied to reconstruct canopy 3D structures in crops such as maize [<xref rid="bib16" ref-type="bibr">16</xref>], soybean [<xref rid="bib26" ref-type="bibr">26</xref>], sugar beet [<xref rid="bib27" ref-type="bibr">27</xref>], and wheat [<xref rid="bib28" ref-type="bibr">28</xref>], significantly improving the accuracy of morphological trait assessments. Given the financial constraints faced by many breeding organizations, this study focuses on the applicability of combining multi-view RGB images with the SfM-MVS algorithm to extract multi-level PH in wheat.</p><p id="p0025">With the rapid expansion of the unmanned aerial vehicle (UAV) market and advancements in manufacturing technology, the cost of consumer-grade photography UAVs continues to decline. Multi-rotor drones, in particular, offer the flexibility to plan flight paths and adjust camera angles, making them an ideal platform for image collection in outdoor environments. Images captured through nadir and oblique imaging using UAVs have been widely used to create digital surface models (DSM) or point clouds, facilitating the extraction of PH for various crops [<xref rid="bib19" ref-type="bibr">19</xref>,<xref rid="bib21" ref-type="bibr">21</xref>,<xref rid="bib29" ref-type="bibr">29</xref>,<xref rid="bib30" ref-type="bibr">30</xref>]. However, nadir imaging often provides limited structural information, resulting in less accurate representations of plant architecture. In contrast, oblique imaging, where the camera axis is tilted at an angle relative to the vertical direction, captures more detailed information, particularly on the sides and bottoms of objects, which are often obscured in nadir views [<xref rid="bib19" ref-type="bibr">19</xref>]. The combination of multi-view images acquired through low-altitude oblique imaging with the SfM-MVS algorithm represents a significant leap forward in 3D reconstruction technology. This approach generates dense point clouds, greatly enhancing our ability to capture intricate details at the plant organ scale and enabling more precise and comprehensive reconstructions. Among advanced UAV photography methods, cross-circling oblique (CCO) imaging stands out for its ability to capture outdoor images from multiple angles at ultra-low altitudes. This method provides a novel solution for estimating organ-scale structural characteristics in large field conditions [<xref rid="bib16" ref-type="bibr">16</xref>]. CCO imaging achieves comprehensive detail acquisition by setting up multiple overlapping circular flight paths to image the target area. Previous research has demonstrated that CCO imaging outperforms traditional oblique routes in both the accuracy of extracting crop organ-scale traits and the efficient utilization of images [<xref rid="bib16" ref-type="bibr">16</xref>]. However, the effectiveness of CCO imaging in wheat PH measurement and genetic analysis remains unexplored. While earlier studies have utilized UAV-generated DSM to extract crop PH and identify quantitative trait loci (QTLs) in conjunction with genetic analysis [<xref rid="bib5" ref-type="bibr">5</xref>,<xref rid="bib30" ref-type="bibr">30</xref>,<xref rid="bib31" ref-type="bibr">31</xref>], most of these studies relied primarily on low-altitude nadir photography. As a result, they lacked accurate 3D modeling of the canopy to extract multiple levels of PH, limiting the depth of phenotypic data available for genetic studies.</p><p id="p0030">Interdisciplinary collaboration is a current research hotspot across various fields. By integrating knowledge and techniques from remote sensing, botany, and molecular biology, we can conduct a comprehensive analysis of wheat growth characteristics, thereby expediting the selection and improvement of PH in breeding programs. Thus, this study aims to: (1) Evaluate the accuracy of CCO imaging for measuring multi-level 3D-PH in wheat across different environments; (2) Identify QTLs for multi-level 3D-PH and FM-PH; and (3) Develop high-throughput molecular markers to facilitate marker-assisted selection in wheat breeding programs.</p></sec><sec id="sec2" disp-level="1"><label>2.</label><title>Materials and methodology</title><sec id="sec2.1" disp-level="2"><label>2.1.</label><title>Low-cost cross-circling oblique imaging</title><p id="p0035">CCO imaging (<xref rid="fig1" ref-type="fig">Fig. 1</xref> A and B) represents an advanced photography technique facilitating rapid imaging in field conditions. The route of CCO imaging consists of multiple single-circle routes (<xref rid="fig1" ref-type="fig">Fig. 1</xref> A). In this route, the overlapping parts can be divided into two categories: intra-circle overlap and inter-circle overlap. The intra-circle overlap refers to the overlapping areas between images within a single circular path; while inter-circle overlap refers to the overlapping parts between two adjacent single circular reconstruction areas. As shown in <xref rid="fig1" ref-type="fig">Fig. 1</xref> A, an example of a CCO imaging strategy is illustrated, featuring a sequence of four distinct circles, each designed with a 50 ​% overlap with its neighboring circle. The area that is most conducive to image reconstruction is marked in blue, whereas the red marking delineates the square inscribed within this optimal reconstruction zone. The condition of a 50 ​% overlap between circles is met when the edges of the inscribed squares of two adjacent circles are just touching. It is stipulated that both the overlaps within the CCO imaging must not fall below a 50 ​% threshold; otherwise, the imaging process may fail to reconstruct the image accurately. Several key parameters, including the elevation (<italic>H</italic>) of the CCO imaging path, the angle at which the camera is positioned (<italic>θ</italic>), the extent of overlap within individual circles, and the overlap between different circles, are crucial and must be tailored to fit the specific demands of the mission. The term ‘route height’ describes the vertical distance in relation to the DSM and is dependent on the GSD required for the mission objectives. This can be calculated using the following formula [<xref rid="bib16" ref-type="bibr">16</xref>]:</p><disp-formula id="fd1"><label>(1)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1" display="block" altimg="si1.svg" alttext="Equation 1."><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mfenced><mml:mrow><mml:mi>f</mml:mi><mml:mo>∗</mml:mo><mml:mi>G</mml:mi><mml:mi>S</mml:mi><mml:mi>D</mml:mi></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:mfenced><mml:mrow><mml:mi>a</mml:mi><mml:mo>∗</mml:mo><mml:mspace width="0.25em"/><mml:mi>sin</mml:mi><mml:mo>⁡</mml:mo><mml:mi>θ</mml:mi></mml:mrow></mml:mfenced></mml:math></disp-formula><p>where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2" altimg="si2.svg"><mml:mrow><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula> represents the relative height, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3" altimg="si3.svg"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula> signifies the focal length, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4" altimg="si4.svg"><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:math></inline-formula> denotes the pixel size, and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5" altimg="si5.svg"><mml:mrow><mml:mi>θ</mml:mi></mml:mrow></mml:math></inline-formula> stands for the lens tilt angle. For the DJI Phantom 4 RTK drone, the values of <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6" altimg="si3.svg"><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula> and <italic>a</italic> are 8.8 ​mm and 0.0024 mm/pixel, respectively. The radius (<italic>R</italic>) of the CCO imaging route is calculated using the following formula:</p><disp-formula id="fd2"><label>(2)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M7" display="block" altimg="si6.svg" alttext="Equation 2."><mml:mrow><mml:mi>R</mml:mi><mml:mo linebreak="badbreak">=</mml:mo><mml:mi>H</mml:mi><mml:mo linebreak="goodbreak">/</mml:mo><mml:mi>tan</mml:mi><mml:mo>⁡</mml:mo><mml:mi>θ</mml:mi></mml:mrow></mml:math></disp-formula><fig id="fig1" position="float"><?disp-level 3?><label>Fig. 1</label><caption><p>(<bold>A)</bold> An overhead view of a CCO imaging comprising two individual circles with a 50 ​% overlap between them. (<bold>B)</bold> Schematic diagram of wrap-around photography in CCO imaging. (<bold>C)</bold> Side view of the CCO imaging.</p></caption><alt-text>Fig. 1</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr1.jpg"><?cloudpmc-path blobs/613c/12710021/70b3a91df506/gr1.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 2449?><?original-width 2961?><?scaled-height 612?><?scaled-width 740?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr1.gif"><?cloudpmc-path blobs/613c/12710021/03ad0d243a56/gr1.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p id="p0040">The intra-circle overlap (<italic>ICO</italic>) can be computed based on the number of images captured within a single circle, using the following equation:</p><disp-formula id="fd3"><label>(3)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M8" display="block" altimg="si7.svg" alttext="Equation 3."><mml:mrow><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>O</mml:mi><mml:mo linebreak="badbreak">=</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mi>V</mml:mi><mml:mo linebreak="badbreak">−</mml:mo><mml:mn>360</mml:mn><mml:mo linebreak="badbreak">/</mml:mo><mml:mi>L</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak">/</mml:mo><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mi>V</mml:mi></mml:mrow></mml:math></disp-formula><p>where <italic>FOV</italic> represents the field of view of the lens, and <italic>L</italic><italic>A</italic> signifies the count of images captured within a single circle. Taking into account a chosen inter-circle overlap (<italic>ITO</italic>), one can compute the distance <italic>D</italic> between the centers of neighboring circles within the intersecting circular pattern. This computation is visually elucidated in <xref rid="fig1" ref-type="fig">Fig. 1</xref> C, and the calculation is as follows:</p><disp-formula id="fd4"><label>(4)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M9" display="block" altimg="si8.svg" alttext="Equation 4."><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mfrac><mml:mi>H</mml:mi><mml:mrow><mml:mi>tan</mml:mi><mml:mo>⁡</mml:mo><mml:mi>θ</mml:mi></mml:mrow></mml:mfrac><mml:mo>−</mml:mo><mml:mi>H</mml:mi><mml:mo>∗</mml:mo><mml:mspace width="0.25em"/><mml:mi>tan</mml:mi><mml:mo>⁡</mml:mo><mml:mfenced><mml:mrow><mml:mn>90</mml:mn><mml:mo>−</mml:mo><mml:mi>θ</mml:mi><mml:mo>−</mml:mo><mml:mo>∂</mml:mo></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mi>T</mml:mi><mml:mi>O</mml:mi></mml:mrow></mml:mfrac></mml:math></disp-formula><disp-formula id="fd5"><label>(5)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M10" display="block" altimg="si9.svg" alttext="Equation 5."><mml:mo>∂</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>tan</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>⁡</mml:mo><mml:mfenced><mml:mfrac><mml:mi>y</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>∗</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:mfenced></mml:math></disp-formula><p>where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M11" altimg="si10.svg"><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula> denotes the physical dimension of the sensor in the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M12" altimg="si10.svg"><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula>-direction and. <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M13" altimg="si11.svg"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow></mml:math></inline-formula> represents half of the <italic>FOV</italic> of the lens in the <italic>y</italic>-direction.</p></sec><sec id="sec2.2" disp-level="2"><label>2.2.</label><title>Plant material and field experiment setup</title><p id="p0045">A collection of 262 F5 recombinant inbred lines (RILs) was generated by iteratively self-pollinating a genetic cross between two wheat cultivars, Zhongmai 578 (ZM578) and Jimai 22 (JM22). These RILs were used for phenotypic evaluations and QTL mapping. ZM578, a leading cultivar in 2020 and 2021, is widely cultivated across the southern and northern regions of the Winter Wheat Region of the Yellow and Huai Rivers (YHRVWWR) [<xref rid="bib6" ref-type="bibr">6</xref>]. Known for its high yield, superior bread-making quality, robust disease resistance, and resilience to adverse conditions, it covers approximately 0.4 million hectares. JM22, introduced in the northern YHRVWWR in 2006, was released in Anhui in 2010 and Henan in 2011, catering to the southern YHRVWWR [<xref rid="bib6" ref-type="bibr">6</xref>]. The parents and 262 RILs were grown in Xinxiang (113°46′ E, 35°8′ N) during the 2021–2022 and 2022–2023 growing seasons. They were also planted in Dezhou (116°20′ E, 37°17′ N) for the same two seasons and in Gaoyi (114°36′ E, 37°38′ N) during the 2021–2022 season. In Xinxiang, experiments included two irrigation treatments: full irrigation and limited irrigation, with approximately 250 ​mm of water applied during the tillering phase. The full irrigation treatment received additional water during the jointing, heading, and grain filling stages. Experiments in Dezhou and Gaoyi used full irrigation. All experiments followed a randomized complete block design with three replications, resulting in 786 plots per experiment for the RIL population. Each plot, representing a cultivar, covered 3.6 ​m<sup>2</sup> (3 ​m ​× ​1.2 ​m) and was arranged in six rows with 0.2 ​m spacing. The numbering of each environment and seeding dates are detailed in <xref rid="tbl1" ref-type="table">Table 1</xref>. Fertilization and pest management were optimized based on local soil and climate conditions. Additionally, a diverse panel of 120 wheat varieties was cultivated in Xinxiang and Zhoukou (114°39′ E, 33°37′ N) during the 2018–2019 growing seasons under full and limited irrigation, respectively. The PH data from this panel were used to validate the efficacy of kompetitive allele-specific PCR (KASP) markers.</p><table-wrap id="tbl1" position="float"><?disp-level 3?><label>Table 1</label><caption><p>The numbering of each growing environment, date of planting and UAV flight.</p></caption><alt-text>Table 1</alt-text><table frame="hsides" rules="groups"><thead><tr><th colspan="1" rowspan="1">Environment</th><th colspan="1" rowspan="1">Serial No.</th><th colspan="1" rowspan="1">Sowing date</th><th colspan="1" rowspan="1">Flight date</th></tr></thead><tbody><tr><td align="left" colspan="1" rowspan="1">Xinxiang, 2021–2022, limited irrigation treatment</td><td align="left" colspan="1" rowspan="1">E1</td><td align="left" colspan="1" rowspan="1">2021-10-22</td><td align="left" colspan="1" rowspan="1">2022-5-13</td></tr><tr><td align="left" colspan="1" rowspan="1">Xinxiang, 2021–2022, full irrigation treatment</td><td align="left" colspan="1" rowspan="1">E2</td><td align="left" colspan="1" rowspan="1">2021-10-22</td><td align="left" colspan="1" rowspan="1">2022-5-13</td></tr><tr><td align="left" colspan="1" rowspan="1">Dezhou, 2021–2022, full irrigation treatment</td><td align="left" colspan="1" rowspan="1">E3</td><td align="left" colspan="1" rowspan="1">2021-10-13</td><td align="left" colspan="1" rowspan="1">2022-5-19</td></tr><tr><td align="left" colspan="1" rowspan="1">Xinxiang, 2022–2023, limited irrigation treatment</td><td align="left" colspan="1" rowspan="1">E4</td><td align="left" colspan="1" rowspan="1">2022-10-27</td><td align="left" colspan="1" rowspan="1">2023-5-11</td></tr><tr><td align="left" colspan="1" rowspan="1">Xinxiang, 2022–2023, full irrigation treatment</td><td align="left" colspan="1" rowspan="1">E5</td><td align="left" colspan="1" rowspan="1">2022-10-27</td><td align="left" colspan="1" rowspan="1">2023-5-11</td></tr><tr><td align="left" colspan="1" rowspan="1">Dezhou, 2022–2023, full irrigation treatment</td><td align="left" colspan="1" rowspan="1">E6</td><td align="left" colspan="1" rowspan="1">2022-10-23</td><td align="left" colspan="1" rowspan="1">2023-5-16</td></tr><tr><td align="left" colspan="1" rowspan="1">Gaoyi, 2022–2023, full irrigation treatment</td><td align="left" colspan="1" rowspan="1">E7</td><td align="left" colspan="1" rowspan="1">2022-10-22</td><td align="left" colspan="1" rowspan="1">2023-5-15</td></tr></tbody></table></table-wrap></sec><sec id="sec2.3" disp-level="2"><label>2.3.</label><title>CCO imaging and manual measurements in the field</title><p id="p0050">CCO imaging was performed using the DJI Phantom 4 RTK drone (SZ DJI Technology Co., Shenzhen, China) (<xref rid="fig2" ref-type="fig">Fig. 2</xref> A), equipped with a 20-megapixel RGB lens. This drone integrates real-time kinematic (RTK) technology to ensure centimeter-level precision positioning. The flight routes were automatically planned using Waypoint Master software (Weber Intelligent Control Technology Co., Ltd., Beijing, China), with input from KML and DSM files relevant to the target area (<xref rid="fig2" ref-type="fig">Fig. 2</xref> B). The camera viewing angle for CCO imaging was set to 45°. To ensure precise point cloud data acquisition, the flight altitude for CCO imaging routes across all growth environments was maintained at 4 ​m above the canopy (<xref rid="fig2" ref-type="fig">Fig. 2</xref> C), resulting in a ground sampling distance (GSD) of 1.5 ​mm per pixel. To increase data collection efficiency, two drones were operated simultaneously. Specific flight dates for each environment are provided in <xref rid="tbl1" ref-type="table">Table 1</xref>.</p><fig id="fig2" position="float"><?disp-level 3?><label>Fig. 2</label><caption><p>(<bold>A)</bold> Cross-circling oblique (CCO) imaging using DJI Phantom 4 RTK. (<bold>B)</bold> Flight path for CCO imaging. (<bold>C)</bold> Display in the flight control system during CCO imaging execution. (<bold>D)</bold> Image sequences captured by CCO imaging. (<bold>E)</bold> Process of executing 3D reconstruction. (<bold>F)</bold> Obtained 3D point clouds data. (<bold>G</bold>) Digital surface model generated from the point clouds. (<bold>H)</bold> Schematic diagram of drawing polygons to distinguish different plots. (<bold>I)</bold> Segmentation of the point clouds into different plots. (<bold>J)</bold> Effect of statistical outlier removal filtering. (<bold>K)</bold> Selection of ground points. <bold>(L)</bold> Plant height map.</p></caption><alt-text>Fig. 2</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr2.jpg"><?cloudpmc-path blobs/613c/12710021/8e2fdaa6d960/gr2.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3926?><?original-width 3591?><?scaled-height 872?><?scaled-width 798?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr2.gif"><?cloudpmc-path blobs/613c/12710021/820e1d80e50f/gr2.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p id="p0055">The UAV flights and manual PH (field-measured PH) measurements were conducted during the grain filling stage. For manual PH measurements, three representative plants were selected from consistent growth areas within each plot. The height of each plant was measured using a ruler, and the average of these three measurements was used to determine the PH for that plot.</p></sec><sec id="sec2.4" disp-level="2"><label>2.4.</label><title>Data processing for extracting multi-level 3D-PH</title><p id="p0060">The acquired field image sequences (<xref rid="fig2" ref-type="fig">Fig. 2</xref> D) were imported into DJI Terra v3.7.6, and 3D models were generated using the SfM-MVS algorithm [<xref rid="bib32" ref-type="bibr">32</xref>] (<xref rid="fig2" ref-type="fig">Fig. 2</xref> E–F). The resulting point clouds were exported in LAS format. The detailed processing flow of the 3D point clouds data is shown in <xref rid="fig2" ref-type="fig">Fig. 2</xref> G-J. First, a DSM was created using the rasterize_canopy function from the “lidR” package (available at lidR GitHub) in R v4.2.2. Polygons were then outlined on the DSM in ArcMap v10.5 to differentiate between different plots. The “clip_roi” function from the “lidR” package was used to segment the point clouds using LAS files and a shapefile containing polygonal elements. Finally, the point clouds were denoised using the “classify_noise” function with the statistical outlier removal algorithm. In the 3D point clouds data analysis, 3D-PH was determined by measuring the vertical distance between the ground level and the upper quantile of the <italic>Z</italic>-coordinates of the points. In some growing environments (E1, E2, E4, and E5), where many ridges were present above ground level, using the low quantile as ground level could lead to erroneous results. Therefore, a manual method was used to select the ground level of the plots in the point clouds (<xref rid="fig2" ref-type="fig">Fig. 2</xref> K). Various height quantiles were utilized to define multi-level 3D-PH. To minimize errors, PH was averaged across three replicates of each line in each environment. The Pearson correlation coefficient (<italic>r</italic>), root mean square error (<italic>RMSE</italic>), and relative <italic>RMSE</italic> (<italic>R</italic><italic>RMSE</italic>) were used as evaluation metrics.</p><disp-formula id="fd6"><label>(6)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M14" display="block" altimg="si12.svg" alttext="Equation 6."><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mo>∑</mml:mo><mml:msup><mml:mfenced><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo>ˆ</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mo>∑</mml:mo><mml:msup><mml:mfenced><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:mover accent="true"><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:msqrt></mml:math></disp-formula><disp-formula id="fd7"><label>(7)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M15" display="block" altimg="si13.svg" alttext="Equation 7."><mml:mrow><mml:mi>R</mml:mi><mml:mi>M</mml:mi><mml:mi>S</mml:mi><mml:mi>E</mml:mi><mml:mo linebreak="badbreak">=</mml:mo><mml:msqrt><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>n</mml:mi></mml:mfrac><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo linebreak="badbreak">=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo linebreak="badbreak">−</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo>ˆ</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula><disp-formula id="fd8"><label>(8)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M16" display="block" altimg="si14.svg" alttext="Equation 8."><mml:mi mathvariant="italic">RRMSE</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>R</mml:mi><mml:mi>M</mml:mi><mml:mi>S</mml:mi><mml:mi>E</mml:mi></mml:mrow><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mfrac><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mo>%</mml:mo></mml:math></disp-formula><p>where <italic>n</italic> is the number of samples; <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M17" altimg="si15.svg"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M18" altimg="si16.svg"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo>ˆ</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the measured and the extracted PH of sample <italic>i</italic>, respectively. <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M19" altimg="si17.svg"><mml:mrow><mml:mover accent="true"><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> is the mean value of the actual PH, respectively. Higher values of <italic>r</italic> and lower values of <italic>RMSE</italic> and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M20" altimg="si18.svg"><mml:mi mathvariant="italic">RRMSE</mml:mi></mml:math></inline-formula> indicate better accuracy in extracting PH.</p></sec><sec id="sec2.5" disp-level="2"><label>2.5.</label><title>Analysis of phenotypic data</title><p id="p0065">Statistical analysis encompassed the application of analysis of variance (ANOVA) to evaluate the statistical significance linked with various sources of variation. To mitigate the influence of genotypic factors on the field-measured PH (FM-PH) and 3D-PH from point clouds, the best linear unbiased estimation (BLUE) was computed across seven different environments. The aim was to eliminate any potential bias introduced by the genotypic design. ANOVA and BLUE estimation were performed using the linear model in the QTL IciMapping software [<xref rid="bib33" ref-type="bibr">33</xref>]:</p><disp-formula id="fd9"><label>(9)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M21" display="block" altimg="si19.svg" alttext="Equation 9."><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="badbreak">=</mml:mo><mml:mi>μ</mml:mi><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo linebreak="badbreak">/</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>G</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:mi>G</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="badbreak">+</mml:mo><mml:msub><mml:mi>ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>and</mml:mtext><mml:mspace width="0.25em"/><mml:msub><mml:mi>ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo linebreak="goodbreak">∼</mml:mo><mml:mi>N</mml:mi><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>σ</mml:mi><mml:mi>ε</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula><p>where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M22" altimg="si20.svg"><mml:mrow><mml:mi>i</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M23" altimg="si21.svg"><mml:mrow><mml:mi>j</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M24" altimg="si22.svg"><mml:mrow><mml:mi>k</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M25" altimg="si23.svg"><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:math></inline-formula> represents the overall mean of the population <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M26" altimg="si24.svg"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>/</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M27" altimg="si25.svg"><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> th replication effect in the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M28" altimg="si26.svg"><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula> th environment, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M29" altimg="si27.svg"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the genotypic effect of the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M30" altimg="si28.svg"><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula> th genotype, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M31" altimg="si29.svg"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the environmental effect of the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M32" altimg="si26.svg"><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula> th environment, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M33" altimg="si30.svg"><mml:mrow><mml:mi>G</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the interaction effect between the <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M34" altimg="si28.svg"><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula> th genotype and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M35" altimg="si26.svg"><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula> th environment, and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M36" altimg="si31.svg"><mml:mrow><mml:msub><mml:mi>ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the random error effect which was assumed to be normally distributed with a mean of zero. After establishing the linear model for ANOVA, the collective degrees of freedom and the sum of squares can be partitioned according to the elements outlined within the linear model [<xref rid="bib34" ref-type="bibr">34</xref>]. This division allows for the determination of the mean square value for each distinct source of variation, subsequently facilitating significance testing. Heritability indicates the proportion of genetic variation relative to the overall phenotypic variation. The calculation for broad-sense heritability is outlined below [<xref rid="bib35" ref-type="bibr">35</xref>]:</p><disp-formula id="ufd1"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M37" display="block" altimg="si32.svg"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo linebreak="badbreak">=</mml:mo><mml:msubsup><mml:mi>σ</mml:mi><mml:mi mathvariant="normal">G</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo linebreak="badbreak">/</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:msubsup><mml:mi>σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">G</mml:mi><mml:mo linebreak="badbreak">+</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:msubsup><mml:mi>σ</mml:mi><mml:mtext>GE</mml:mtext><mml:mn>2</mml:mn></mml:msubsup><mml:mo linebreak="badbreak">/</mml:mo><mml:mi>e</mml:mi><mml:mo linebreak="badbreak">+</mml:mo><mml:msubsup><mml:mi>σ</mml:mi><mml:mi>ε</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo linebreak="badbreak">/</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mn>10</mml:mn><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula><p>where <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M38" altimg="si33.svg"><mml:mrow><mml:msubsup><mml:mi>σ</mml:mi><mml:mi mathvariant="normal">G</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>σ</mml:mi><mml:mtext>GE</mml:mtext><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M39" altimg="si34.svg"><mml:mrow><mml:msubsup><mml:mi>σ</mml:mi><mml:mi>ε</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> represent genotype, genotype <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M40" altimg="si35.svg"><mml:mrow><mml:mo linebreak="goodbreak" linebreakstyle="after">×</mml:mo></mml:mrow></mml:math></inline-formula> environment interaction, and residual error variances, respectively, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M41" altimg="si36.svg"><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M42" altimg="si37.svg"><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:math></inline-formula> were the numbers of environments and replicates, respectively. Correlation analysis and data visualization were performed using R v4.2.2.</p></sec><sec id="sec2.6" disp-level="2"><label>2.6.</label><title>Construction of the genetic map and QTL mapping</title><p id="p0070">Genotyping of the RILs and two parental lines was conducted using the wheat 50K SNP array, available through CapitalBio Corporation (Beijing, China; <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.capitalbio.com" ext-link-type="uri">http://www.capitalbio.com</ext-link>). This array comprises 55,224 SNPs, evenly distributed across the 21 wheat chromosomes. To construct a genetic map, markers that were monomorphic between the parents and those with high rates of missing data (exceeding 20.0 ​%) or a minor allele frequency (MAF) below 0.3 were excluded. This filtering process resulted in a set of 9661 high-quality polymorphic markers, which were then utilized for subsequent analysis. Duplicate markers were removed using the BIN function in lciMapping v4.2 [<xref rid="bib36" ref-type="bibr">36</xref>], leaving 1501 non-redundant markers for linkage analysis using the regression mapping algorithm in JoinMap 4.0 Software. A genetic map consisting of 1501 bin markers was constructed across all chromosomes except for 6B. This linkage map covered a total length of 2384.95 ​cM, with an average genetic distance of 1.59 ​cM per bin marker. Among the three genomes, the A genome had the highest number of markers (562), followed by the B genome (545) and the D genome (394), as outlined in <xref rid="appsec1" ref-type="sec">Table S1</xref>.</p><p id="p0075">QTL analysis was performed using the inclusive composite interval mapping (ICIM) function within the IciMapping v4.2 software. Specific mapping parameters were set, including step ​= ​0.1 ​cM and PIN ​= ​0.001, while the logarithm of odds (LOD) threshold was established at 2.5. QTLs identified across at least three distinct environments were considered stable. Favorable alleles were defined as those resulting in decreased values. Following the International Rules of Genetic Nomenclature [<xref rid="bib37" ref-type="bibr">37</xref>], the nomenclature of all QTLs was assigned.</p></sec><sec id="sec2.7" disp-level="2"><label>2.7.</label><title>KASP marker development</title><p id="p0080">Marker physical positions were determined utilizing wheat genome sequences obtained from the International Wheat Genome Sequencing Consortium (IWGSC RefSeq 1.0, accessible at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.wheatgenome.org/" ext-link-type="uri">http://www.wheatgenome.org/</ext-link>) [<xref rid="bib38" ref-type="bibr">38</xref>]. Allele-specific primers for KASP assays were meticulously designed using the PolyMarker tool (available at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://polymarker.tgac.ac.uk/" ext-link-type="uri">http://polymarker.tgac.ac.uk/</ext-link>). The primer mixture for the assays consisted of 46 ​μL of ddH2O, 30 ​μL of a common primer (100 ​μmol L<sup>-1</sup>), and 12 ​μL of each tailed primer (100 ​μmol L<sup>-1</sup>). Assays were prepared in 384-well formats, resulting in approximately 3 ​μL reaction volumes each. These reactions included 10–20 ​ng μL<sup>-1</sup> of DNA, 3 ​μL of a 1 ​× ​KASP master mixture, and 0.056 ​μL of the primer mixture. The PCR cycling protocol comprised an initial hot start at 95 ​°C for 15 ​min, followed by 10 touchdown cycles (95 ​°C for 20 ​s; starting at 65 ​°C and decreasing by −1 ​°C per cycle for 25 ​s), and subsequently, 30 additional cycles of denaturation and annealing/extension steps (95 ​°C for 10 ​s; 57 ​°C for 60 ​s). PCR was performed using a Bio-Rad CFX Real-Time PCR System, and fluorescence signals were detected using the Bio-Rad CFX Manager 3.1 Software. To ensure accuracy, KASP markers underwent initial validation using the parental lines. Following validation, these markers were utilized for screening both RIL and natural populations.</p></sec><sec id="sec2.8" disp-level="2"><label>2.8.</label><title>Candidate gene prediction</title><p id="p0085">Based on the Chinese Spring reference genome (IWGSC RefSeq v.1.1), the genes located within or adjacent to the physical intervals of the QTLs identified in this study were selected for screening. Using the flanking sequences of SNP markers during the confidence interval of QTL as probes, the candidate genes related to PH were explored by BLASTn in NCBI (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.ncbi.nlm.nih.gov/" ext-link-type="uri">http://www.ncbi.nlm.nih.gov/</ext-link>). Furthermore, the expression of candidate genes was evaluated using the Wheat Expression Browser (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.wheat-expression.com/" ext-link-type="uri">http://www.wheat-expression.com/</ext-link>) to identify genes with high expression levels in PH.</p></sec></sec><sec id="sec3" disp-level="1"><label>3.</label><title>Results</title><sec id="sec3.1" disp-level="2"><label>3.1.</label><title>Comparison of CCO and nadir imaging in estimating wheat PH</title><p id="p0090">Nadir imaging is currently the most popular low-cost method for extracting crop height [<xref rid="bib39" ref-type="bibr">[39]</xref>, <xref rid="bib40" ref-type="bibr">[40]</xref>, <xref rid="bib41" ref-type="bibr">[41]</xref>, <xref rid="bib42" ref-type="bibr">[42]</xref>, <xref rid="bib43" ref-type="bibr">[43]</xref>]. In addition to CCO imaging, nadir imaging was also applied in environment E5, with the same flight altitude and overlap settings as used in CCO imaging. To increase the variation in PH, an additional 24 plots outside the RIL population were included. Compared to nadir imaging, CCO imaging provided more complete details in point clouds, particularly in the front areas of the plots (<xref rid="appsec1" ref-type="sec">Fig. S1</xref> A and B). PH data were extracted using 11 height quantiles. Across all quantiles, CCO imaging consistently achieved higher <italic>r</italic> and lower <italic>RMSE</italic> values than nadir imaging (<xref rid="appsec1" ref-type="sec">Fig. S1</xref> C and D). Scatter plots comparing PH from optimal quantiles with FM-PH showed that CCO-derived PH aligned more closely with the 1:1 line (<xref rid="appsec1" ref-type="sec">Fig. S1 E and F</xref>). Among the various quantiles of point clouds generated from CCO imaging, the 90 ​% quantile aligned most closely with FM-PH, while lower percentiles risked extracting stem height instead of canopy height. Therefore, in subsequent analyses, the 90 ​%, 92 ​%, 94 ​%, 96 ​%, 98 ​%, and 99.5 ​% quantiles were selected for multi-level PH extraction.</p></sec><sec id="sec3.2" disp-level="2"><label>3.2.</label><title>Characteristics of point clouds derived from CCO imaging</title><p id="p0095">The detailed point clouds from CCO imaging of wheat plots at different heights are shown in <xref rid="fig3" ref-type="fig">Fig. 3</xref> A–C. CCO imaging successfully reconstructed the canopy model at the organ scale, with spikes in the point clouds being clearly recognizable. This provides a basis for accurate multi-level PH extraction, as different height quantiles correspond to the different heights of plants within the plots. However, capturing side views can be challenging due to the close proximity of adjacent experimental plots, resulting in the absence of points at the lower part of the plot sides. When the distance between experimental plots is sufficient, the details of plants from various angles can be precisely reconstructed [<xref rid="bib16" ref-type="bibr">16</xref>]. The <italic>Z</italic>-axis direction of the canopy was divided into four layers from top to bottom, and the distribution of point clouds projected to the bottom of each layer is shown in <xref rid="fig3" ref-type="fig">Fig. 3</xref> D–F. The distribution pattern of point clouds was similar across plots of different heights. Points were mainly concentrated in the canopy portion (first and second layers), where spikes and leaves were concentrated. Fewer points were found in the lower and bottom portions (third and fourth layers). By statistically analyzing the points in the <italic>Z</italic>-axis direction (<xref rid="fig3" ref-type="fig">Fig. 3</xref> G–I), the inhomogeneous distribution of point clouds can be understood in more detail. However, due to the accurate reconstruction of the canopy, this phenomenon had a negligible effect on the PH extraction.</p><fig id="fig3" position="float"><?disp-level 3?><label>Fig. 3</label><caption><p>(<bold>A)</bold>–(<bold>C)</bold> represent the spatial distributions of wheat canopy point clouds for varying plant height. (<bold>D)</bold>–(<bold>F)</bold> represent the slices of wheat canopy point clouds for varying plant height. (<bold>G)</bold>–(<bold>I)</bold> represent the histogram of <italic>Z</italic>-coordinates of wheat canopy point clouds for varying plant height.</p></caption><alt-text>Fig. 3</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr3.jpg"><?cloudpmc-path blobs/613c/12710021/31748462ca5e/gr3.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 2900?><?original-width 3591?><?scaled-height 644?><?scaled-width 798?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr3.gif"><?cloudpmc-path blobs/613c/12710021/fcb96e0ca32f/gr3.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec3.3" disp-level="2"><label>3.3.</label><title>Phenotypic analysis of FM-PH and multi-level 3D-PH in RIL population</title><p id="p0100">Both the FM-PH and CCO imaging multi-level 3D-PH followed the normal distribution within each environment, as shown in <xref rid="fig4" ref-type="fig">Fig. 4</xref> A and <xref rid="appsec1" ref-type="sec">Fig. S2</xref>. The distribution pattern of BLUE values for each quantile height was consistent with that for FM-PH (<xref rid="fig4" ref-type="fig">Fig. 4</xref> B). Moreover, 3D-PH extracted from different quantiles exhibited strong correlations with each other (<xref rid="fig4" ref-type="fig">Fig. 4</xref> C). Among the six levels of 3D-PH, the 90 ​% height quantile closely aligned with the mean value of FM-PH. Additionally, the among-environment correlations for FM-PH (<xref rid="fig4" ref-type="fig">Fig. 4</xref> D) and the 90 ​% height quantile (<xref rid="fig4" ref-type="fig">Fig. 4</xref> E) were high and significant. Significant variances (<italic>P</italic> ​&lt; ​0.001) were observed among genotypes across different environments, as well as within the genotype ​× ​environment (G ​× ​E) interactions, for both FM-PH and 3D-PH (<xref rid="appsec1" ref-type="sec">Table S2</xref>). The broad-sense heritability within each environment ranged from 0.775 to 0.959 (<xref rid="fig4" ref-type="fig">Fig. 4</xref> F), and from 0.975 to 0.982 across all seven environments. Notably, the heritability of most 3D-PH levels was higher than that of FM-PH.</p><fig id="fig4" position="float"><?disp-level 3?><label>Fig. 4</label><caption><p>(A) Distribution of field-measured plant height (FM-PH) in each environment. (<bold>B)</bold> Distribution of best linear unbiased estimation (BLUE) values for FM-PH and multi-level 3D-PH. (<bold>C)</bold> Correlations among BLUE values of multi-level 3D-PH extracted by different quantiles. (<bold>D)</bold> Correlation of FM-PH among environments<bold>. (E)</bold> Correlation of 90 ​% height quantile among environments. (<bold>F)</bold> Broad-sense heritability of FM-PH and multi-level 3D-PH in each environment and across all environments. The dashed lines in A and B perpendicular to the horizontal axis represent the mean value. Q90, Q92, Q94, Q96, Q98, and Q99.5 represent multi-level 3D-PH extracted from the 90 ​%, 92 ​%, 94 ​%, 96 ​%, 98 ​%, and 99.5 ​% quantiles of the <italic>Z</italic>-coordinates in point clouds, respectively. The specific definitions of E1-E7 can be found in <xref rid="tbl1" ref-type="table">Table 1</xref>. AE represents all environments.</p></caption><alt-text>Fig. 4</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr4.jpg"><?cloudpmc-path blobs/613c/12710021/3d62038c23e4/gr4.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 4317?><?original-width 3591?><?scaled-height 959?><?scaled-width 798?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr4.gif"><?cloudpmc-path blobs/613c/12710021/27b444710dec/gr4.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p id="p0105">The 3D-PH demonstrated strong correlations with FM-PH across all seven growth environments (<xref rid="fig5" ref-type="fig">Fig. 5</xref> and <xref rid="tbl2" ref-type="table">Table 2</xref>). The 3D-PH measured at the 90 ​% and 92 ​% quantiles closely resembled FM-PH, with <italic>RMSE</italic> values less than 2 ​cm in most environments. For BLUE values, the correlation coefficient between FM-PH and 3D-PH reached an impressive 0.99, with an <italic>RMSE</italic> of only 0.65 ​cm in the 90 ​% height quantile. In the range of 94 ​%–99.5 ​% quantiles, the 3D-PH was slightly elevated compared to FM-PH, potentially reflecting the height of taller plants within the canopy. Overall, the success of CCO imaging in reconstructing detailed canopy models at the organ scale offers a valuable alternative for PH assessment in precision agriculture and breeding programs.</p><fig id="fig5" position="float"><?disp-level 3?><label>Fig. 5</label><caption><p>The scatter plots for field-measured plant height (FM-PH) versus multi-level 3D-PH. The accuracy and error parameters for each 3D-PH are shown in <xref rid="tbl2" ref-type="table">Table 2</xref>. The specific definitions of E1-E7 can be found in <xref rid="tbl1" ref-type="table">Table 1</xref>. BLUE represent the best linear unbiased estimation.</p></caption><alt-text>Fig. 5</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr5.jpg"><?cloudpmc-path blobs/613c/12710021/528e7943a086/gr5.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3233?><?original-width 3158?><?scaled-height 808?><?scaled-width 789?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr5.gif"><?cloudpmc-path blobs/613c/12710021/897c063a86a9/gr5.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><table-wrap id="tbl2" position="float"><?disp-level 3?><label>Table 2</label><caption><p>Statistics on the proximity of multi-level 3D plant height to field-measured plant height.</p></caption><alt-text>Table 2</alt-text><table frame="hsides" rules="groups"><thead><tr><th colspan="1" rowspan="1">Env</th><th colspan="1" rowspan="1">Metric</th><th colspan="1" rowspan="1">Q90</th><th colspan="1" rowspan="1">Q92</th><th colspan="1" rowspan="1">Q94</th><th colspan="1" rowspan="1">Q96</th><th colspan="1" rowspan="1">Q98</th><th colspan="1" rowspan="1">Q99.5</th></tr></thead><tbody><tr><td rowspan="3" align="left" colspan="1">E1</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.52 ​cm</td><td align="left" colspan="1" rowspan="1">1.32 ​cm</td><td align="left" colspan="1" rowspan="1">1.35 ​cm</td><td align="left" colspan="1" rowspan="1">1.73 ​cm</td><td align="left" colspan="1" rowspan="1">2.68 ​cm</td><td align="left" colspan="1" rowspan="1">4.57 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">1.99 ​%</td><td align="left" colspan="1" rowspan="1">1.74 ​%</td><td align="left" colspan="1" rowspan="1">1.77 ​%</td><td align="left" colspan="1" rowspan="1">2.28 ​%</td><td align="left" colspan="1" rowspan="1">3.53 ​%</td><td align="left" colspan="1" rowspan="1">6.00 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E2</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.95</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.78 ​cm</td><td align="left" colspan="1" rowspan="1">1.51 ​cm</td><td align="left" colspan="1" rowspan="1">1.36 ​cm</td><td align="left" colspan="1" rowspan="1">1.53 ​cm</td><td align="left" colspan="1" rowspan="1">2.33 ​cm</td><td align="left" colspan="1" rowspan="1">4.18 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">2.23 ​%</td><td align="left" colspan="1" rowspan="1">1.89 ​%</td><td align="left" colspan="1" rowspan="1">1.71 ​%</td><td align="left" colspan="1" rowspan="1">1.92 ​%</td><td align="left" colspan="1" rowspan="1">2.93 ​%</td><td align="left" colspan="1" rowspan="1">5.24 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E3</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.95</td><td align="left" colspan="1" rowspan="1">0.88</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.86 ​cm</td><td align="left" colspan="1" rowspan="1">1.37 ​cm</td><td align="left" colspan="1" rowspan="1">2.07 ​cm</td><td align="left" colspan="1" rowspan="1">2.47 ​cm</td><td align="left" colspan="1" rowspan="1">3.79 ​cm</td><td align="left" colspan="1" rowspan="1">6.76 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">2.46 ​%</td><td align="left" colspan="1" rowspan="1">1.81 ​%</td><td align="left" colspan="1" rowspan="1">2.73 ​%</td><td align="left" colspan="1" rowspan="1">3.26 ​%</td><td align="left" colspan="1" rowspan="1">5.00 ​%</td><td align="left" colspan="1" rowspan="1">8.91 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E4</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.38 ​cm</td><td align="left" colspan="1" rowspan="1">1.26 ​cm</td><td align="left" colspan="1" rowspan="1">1.42 ​cm</td><td align="left" colspan="1" rowspan="1">1.96 ​cm</td><td align="left" colspan="1" rowspan="1">3.07 ​cm</td><td align="left" colspan="1" rowspan="1">5.26 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">1.67 ​%</td><td align="left" colspan="1" rowspan="1">1.53 ​%</td><td align="left" colspan="1" rowspan="1">1.72 ​%</td><td align="left" colspan="1" rowspan="1">2.37 ​%</td><td align="left" colspan="1" rowspan="1">3.72 ​%</td><td align="left" colspan="1" rowspan="1">6.38 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E5</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.95</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.41 ​cm</td><td align="left" colspan="1" rowspan="1">1.50 ​cm</td><td align="left" colspan="1" rowspan="1">1.77 ​cm</td><td align="left" colspan="1" rowspan="1">2.29 ​cm</td><td align="left" colspan="1" rowspan="1">3.24 ​cm</td><td align="left" colspan="1" rowspan="1">5.00 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">1.66 ​%</td><td align="left" colspan="1" rowspan="1">1.76 ​%</td><td align="left" colspan="1" rowspan="1">2.09 ​%</td><td align="left" colspan="1" rowspan="1">2.70 ​%</td><td align="left" colspan="1" rowspan="1">3.82 ​%</td><td align="left" colspan="1" rowspan="1">5.89 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E6</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.97</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.96</td><td align="left" colspan="1" rowspan="1">0.95</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">1.95 ​cm</td><td align="left" colspan="1" rowspan="1">2.87 ​cm</td><td align="left" colspan="1" rowspan="1">4.35 ​cm</td><td align="left" colspan="1" rowspan="1">4.79 ​cm</td><td align="left" colspan="1" rowspan="1">6.08 ​cm</td><td align="left" colspan="1" rowspan="1">8.41 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">2.61 ​%</td><td align="left" colspan="1" rowspan="1">3.85 ​%</td><td align="left" colspan="1" rowspan="1">5.83 ​%</td><td align="left" colspan="1" rowspan="1">6.42 ​%</td><td align="left" colspan="1" rowspan="1">8.14 ​%</td><td align="left" colspan="1" rowspan="1">11.28 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">E7</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.93</td><td align="left" colspan="1" rowspan="1">0.93</td><td align="left" colspan="1" rowspan="1">0.92</td><td align="left" colspan="1" rowspan="1">0.92</td><td align="left" colspan="1" rowspan="1">0.92</td><td align="left" colspan="1" rowspan="1">0.91</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">3.30 ​cm</td><td align="left" colspan="1" rowspan="1">4.16 ​cm</td><td align="left" colspan="1" rowspan="1">5.46 ​cm</td><td align="left" colspan="1" rowspan="1">5.85 ​cm</td><td align="left" colspan="1" rowspan="1">6.96 ​cm</td><td align="left" colspan="1" rowspan="1">9.04 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">4.60 ​%</td><td align="left" colspan="1" rowspan="1">5.79 ​%</td><td align="left" colspan="1" rowspan="1">7.61 ​%</td><td align="left" colspan="1" rowspan="1">8.15 ​%</td><td align="left" colspan="1" rowspan="1">9.70 ​%</td><td align="left" colspan="1" rowspan="1">12.59 ​%</td></tr><tr><td rowspan="3" align="left" colspan="1">BLUE</td><td align="left" colspan="1" rowspan="1"><italic>r</italic></td><td align="left" colspan="1" rowspan="1">0.99</td><td align="left" colspan="1" rowspan="1">0.99</td><td align="left" colspan="1" rowspan="1">0.99</td><td align="left" colspan="1" rowspan="1">0.99</td><td align="left" colspan="1" rowspan="1">0.99</td><td align="left" colspan="1" rowspan="1">0.98</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RMSE</italic></td><td align="left" colspan="1" rowspan="1">0.65 ​cm</td><td align="left" colspan="1" rowspan="1">0.87 ​cm</td><td align="left" colspan="1" rowspan="1">1.82 ​cm</td><td align="left" colspan="1" rowspan="1">2.43 ​cm</td><td align="left" colspan="1" rowspan="1">3.72 ​cm</td><td align="left" colspan="1" rowspan="1">6.07 ​cm</td></tr><tr><td align="left" colspan="1" rowspan="1"><italic>RRMSE</italic></td><td align="left" colspan="1" rowspan="1">0.82 ​%</td><td align="left" colspan="1" rowspan="1">1.12 ​%</td><td align="left" colspan="1" rowspan="1">2.33 ​%</td><td align="left" colspan="1" rowspan="1">3.10 ​%</td><td align="left" colspan="1" rowspan="1">4.75 ​%</td><td align="left" colspan="1" rowspan="1">7.76 ​%</td></tr></tbody></table><table-wrap-foot><fn id="fn2"><p>Note: The specific definitions of E1-E7 can be found in <xref rid="tbl1" ref-type="table">Table 1</xref>.</p></fn></table-wrap-foot></table-wrap></sec><sec id="sec3.4" disp-level="2"><label>3.4.</label><title>Identification of QTL for PH</title><p id="p0110">QTLs were identified for both FM-PH and multi-level 3D-PH across multiple growth conditions. Across the seven environments, a total of 106 QTLs associated with FM-PH and 3D-PH were identified on various chromosomes (<xref rid="fig6" ref-type="fig">Fig. 6</xref>): 1D (2), 2A (8), 2B (27), 2D (6), 3A (7), 3B (6), 4A (6), 4D (2), 5A (4), 5B (8), 5D (3), 6A (1), 6D (1), 7A (10), 7B (8), and 7D (7). These QTLs explained 1.1–18.8 ​% of the phenotypic variances. Among the 60 QTLs detected by FM-PH, 40 were also detected by 3D-PH. As expected, loci detected by 3D-PH extracted from different quantiles showed remarkable consistency (<xref rid="fig6" ref-type="fig">Fig. 6</xref> A). Out of the 86 3D-PH loci, 38 were consistently identified by all six types of 3D-PH, while 33 loci were detected by two to five types of 3D-PH concurrently. Additionally, there were similarities in the distribution patterns of loci identified for FM-PH and 3D-PH across different environments and chromosomes (<xref rid="fig6" ref-type="fig">Fig. 6</xref> B and C).</p><fig id="fig6" position="float"><?disp-level 3?><label>Fig. 6</label><caption><p>A Total and common QTLs among field-measured plant height (FM-PH) and multi-level 3D-PH. <bold>B</bold> Number of loci detected in each environment for different types of PH. <bold>C</bold> Number of loci detected on each chromosome for different types of PH. Q90, Q92, Q94, Q96, Q98, and Q99.5 represent multi-level 3D-PH extracted from the 90 ​%, 92 ​%, 94 ​%, 96 ​%, 98 ​%, and 99.5 ​% quantiles of the <italic>Z</italic>-coordinates in point clouds, respectively. The specific definitions of E1-E7 can be found in <xref rid="tbl1" ref-type="table">Table 1</xref>.</p></caption><alt-text>Fig. 6</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr6.jpg"><?cloudpmc-path blobs/613c/12710021/ae689d74728a/gr6.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 2593?><?original-width 3158?><?scaled-height 648?><?scaled-width 789?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr6.gif"><?cloudpmc-path blobs/613c/12710021/e9e08a343308/gr6.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p id="p0115">The stable loci detected by FM-PH and 3D-PH were summarized in <xref rid="fig7" ref-type="fig">Fig. 7</xref>, and their details can be found in <xref rid="appsec1" ref-type="sec">Tables S3 and S4</xref>. For FM-PH, five stable loci were detected, distributed on 2B, 4A, 7A (2), and 7B. <italic>QPhzj.caas-2B.1</italic>, <italic>QPhzj.caas-7A.1</italic>, <italic>QPhzj.caas-7A.2</italic>, and <italic>QPhzj.caas-7B</italic> were detected in four environments, explaining 14.65 ​%, 3.69 ​%, 2.85 ​%, and 2.80 ​% of the phenotypic variances, respectively. For the QTLs on chromosome 7A, the positive alleles were contributed by ZM578, whereas those on 2B, 4A, and 7B were from JM22. Compared with FM-PH, multi-level 3D-PH detected more stable loci. Specifically, 3D-PH based on 90 ​%, 92 ​%, 94 ​%, 96 ​%, 98 ​%, and 99.5 ​% quantiles detected 6, 6, 8, 6, 6, and 6 stable loci, respectively. Excluding overlapping loci, a total of 11 stable loci were detected, distributed on 2B, 3A (2), 3B, 4A, 4D, 5A, 7A (2), 7B, and 7D. Different quantities may represent flora at different heights within a plot, which is difficult to measure manually and relate to genetic data. Among the 11 loci, <italic>QPhzj.caas-3A.2</italic>, <italic>QPhzj.caas-3B</italic>, <italic>QPhzj.caas-4A.2</italic>, <italic>QPhzj.caas-4D</italic>, <italic>QPhzj.caas-7A.2</italic>, and <italic>QPhzj.caas-7D</italic> were identified across four distinct environments, explaining 3.52 ​%, 3.02 ​%, 4.44 ​%, 2.30 ​%, 3.62 ​%, and 8.52 ​% of the phenotypic variations, respectively. Moreover, <italic>QPhzj.caas-7A.1</italic> was detected in five environments (phenotypic variation explained ​= ​3.48 ​%). Notably, for the QTLs located on chromosomes 4D, 5A, and 7A, the positive alleles originated from ZM578, while those associated with 2B, 3A, 3B, 4A, 7B, and 7D were contributed by JM22. Among the stable loci detected by 3D-PH, <italic>Qphzj-caas-3B</italic>, <italic>QPhzj.caas-4A.2</italic>, and <italic>QPhzj.caas-7A.2</italic> were detected simultaneously by all quartiles. It should be emphasized that three (<italic>QPhzj.caas-7A.1</italic>, <italic>QPhzj.caas-7A.2</italic>, and <italic>QPhzj.caas-7B</italic>) of the five stable loci detected by FM-PH could be detected by 3D-PH. The discovery of multiple stable loci through the multi-level 3D-PH approach suggests that this alternative metric may offer additional insights into the genetic architecture of PH, further enriching our understanding of this important trait.</p><fig id="fig7" position="float"><?disp-level 3?><label>Fig. 7</label><caption><p>Location of stable QTLs (detected in least three environments) with markers. Q90, Q92, Q94, Q96, Q98, and Q99.5 represent multi-level 3D-PH extracted from the 90 ​%, 92 ​%, 94 ​%, 96 ​%, 98 ​%, and 99.5 ​% quantiles of the <italic>Z</italic>-coordinates in point clouds, respectively.</p></caption><alt-text>Fig. 7</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr7.jpg"><?cloudpmc-path blobs/613c/12710021/bc280a27bdf7/gr7.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3764?><?original-width 3158?><?scaled-height 940?><?scaled-width 789?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr7.gif"><?cloudpmc-path blobs/613c/12710021/680fb82a4fa3/gr7.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec3.5" disp-level="2"><label>3.5.</label><title>KASP development</title><p id="p0120">After comparing the detected loci with the previously reported loci (See <bold>Discussion</bold> for details), <italic>QPhzj.caas-3A.2</italic> (3D-PH) and <italic>QPhzj.caas-7A.1</italic> (3D-PH and FM-PH) emerge as potential new loci. Flanking markers closely linked to these two loci, <italic>AX-94626731</italic> (<italic>QPhzj.caas-3A.2</italic>) and <italic>AX-95217657</italic> (<italic>QPhzj.caas-7A.1</italic>), were converted into KASP markers and named <italic>K_AX-94626731</italic> and <italic>K_AX-95217657</italic>, respectively. The primer sequences are detailed in <xref rid="appsec1" ref-type="sec">Table S5</xref>. The KASP markers <italic>K_AX-94626731</italic> and <italic>K_AX-95217657</italic>,were successfully distinguished the two parental genotypes (ZM 578/JM 22). These two KASP markers were employed to genotype 120 natural population varieties from Xinxiang and Zhoukou under two irrigation conditions: full irrigation and limited irrigation treatments. The genetic effects were validated, and the PH of different allele genotypes were depicted in <xref rid="fig8" ref-type="fig">Fig. 8</xref>.</p><fig id="fig8" position="float"><?disp-level 3?><label>Fig. 8</label><caption><p>A KASP marker of <italic>Qphzj. caas-3A.2</italic> development and validation in the panel of 120 wheat cultivars. <bold>B</bold> Effect of the two genotypes of <italic>QPhzj.caas-3A.2</italic> on PH after dividing the 120 wheat cultivars into two groups based on the KASP marker. <bold>C</bold> KASP marker of <italic>Qphzj. caas-7A.1</italic> development and validation in the panel of 120 wheat cultivars. <bold>D</bold> Effect of the two genotypes of <italic>Qphzj. caas-7A.1</italic> on PH after dividing the 120 wheat cultivars into two groups based on the KASP marker. <bold>E</bold> Validation of the allelic effects of <italic>Rht5</italic> in the Zhongmai 578/Jimai 22 population. <bold>F</bold> Effect of <italic>Rht5</italic> on PH after dividing the RILs into two groups based on the KASP marker. <bold>G</bold> Validation of the allelic effects of <italic>TaGL3-5A</italic> in the Zhongmai 578/Jimai 22 population. <bold>H</bold> Effect of <italic>TaGL3-5A</italic> on PH after dividing the RILs into two groups based on the KASP marker. Each set of block plot represents E1-E7 in order from left to right. Q90 and Q98 represent PH extracted from the 90 ​% and 98 ​% quantiles of the <italic>Z</italic>-coordinates in point clouds, respectively. ZK-FI represents the full irrigation treatment in the natural population experiment located in Zhoukou (2018–2019); ZK-LI represents the limited irrigation treatment in the natural population experiment located in Zhoukou; XX-FI represents the full irrigation treatment in the natural population experiment located in Xinxiang (2018–2019); XX-LI represents the limited irrigation treatment in the natural population experiment located in Xinxiang.</p></caption><alt-text>Fig. 8</alt-text><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="gr8.jpg"><?cloudpmc-path blobs/613c/12710021/d3ca7f2f3ff6/gr8.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3474?><?original-width 3158?><?scaled-height 868?><?scaled-width 789?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="gr8.gif"><?cloudpmc-path blobs/613c/12710021/831de8a6b464/gr8.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig><p id="p0125">The genotyping results of the <italic>K_AX-94626731</italic> marker indicated that there were 65 lines with the ZM578 genotype (TT) and 53 lines with the JM22 genotype (CC) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> A). <italic>T</italic>-test results reveal that the difference in PH between the two genotypes of <italic>QPhzj.caas-3A.2</italic> across different environments has a <italic>P</italic>-value ranging from 0.001 to 0.03, reaching a significant level (<italic>P</italic> ​&lt; ​0.05) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> B). Lines carrying the superior allele exhibit 4.6 ​%–9.4 ​% lower PH compared to those without the superior allele. Regarding the <italic>K_AX-95217657</italic> marker, there are 53 lines with the ZM578 genotype (AA) and 65 lines with the JM22 genotype (GG) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> C). <italic>T</italic>-test results indicate that the difference in PH between the two genotypes of <italic>QPhzj.caas-7A.1</italic> across different environments has a <italic>P</italic>-value ranging from 0.005 to 0.02, reaching a significant level (<italic>P</italic> ​&lt; ​0.01) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> D). Lines carrying the superior allele exhibit 5.8 ​%–11.0 ​% lower PH compared to those without the superior allele (<xref rid="appsec1" ref-type="sec">Table S6</xref>).</p></sec><sec id="sec3.6" disp-level="2"><label>3.6.</label><title>Candidate genes underlying stable loci</title><p id="p0130">A total of two candidate genes were identified in this study. The physical interval of <italic>QPhzj.caas-3B</italic> on chromosome 3B spanned from 6.80 ​Mb to 35.34 ​Mb. Within this interval lies a previously named PH-related gene, <italic>Rht5</italic>. Previous studies have placed <italic>Rht5</italic> within a 1 ​Mb region on chromosome 3BS. Based on the Chinese Spring reference genome (IWGSC RefSeq v1.1), <italic>TraesCS3B02G025600</italic> is identified as the candidate gene for <italic>Rht5</italic>, encoding a cytochrome P450 involved in gibberellins (GAs) synthesis. The reduced PH conferred by <italic>Rht5</italic> may result from a defect in GAs biosynthesis [<xref rid="bib44" ref-type="bibr">44</xref>,<xref rid="bib45" ref-type="bibr">45</xref>]. KASP marker developed based on <italic>Rht5</italic> was used to genotype the parents, with ZM578 genotype being AA and JM22 genotype being GG. Subsequently, the effects of this gene were examined in the RIL population using the same KASP markers (<xref rid="fig8" ref-type="fig">Fig. 8</xref> E). <italic>T</italic>-test results at five quantiles in seven environments indicated that lines carrying the ZM578 genotype (AA) exhibit significantly lower PH (<italic>P</italic> ​&lt; ​0.05) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> F). On chromosome 5A, the physical interval of <italic>QPhzj.caas-5A</italic> spanned from 569.55 ​Mb to 572.83 ​Mb. Within this interval lies a cloned gene <italic>TaGL3-5A</italic> (<italic>TraesCS5A02G373900</italic>) associated with grain length and thousand grain weight. Moreover, this gene showed high expression in stem (<xref rid="appsec1" ref-type="sec">Fig. S3</xref>). KASP markers developed based on this SNP were used to genotype the parents, with ZM578 genotype being AA and JM22 genotype being GG. Subsequent examination of its effects in the RIL population revealed, through <italic>T</italic>-test results at the 90 ​% and 98 ​% quantiles in seven environments (<xref rid="fig8" ref-type="fig">Fig. 8</xref> G), that lines carrying the ZM578 genotype (AA) exhibit significantly higher PH (<italic>P</italic> ​&lt; ​0.05) (<xref rid="fig8" ref-type="fig">Fig. 8</xref> H). Therefore, <italic>TaGL3-5A</italic> probably serves as a candidate gene for QTLs on chromosome 5A.</p></sec></sec><sec id="sec4" disp-level="1"><label>4.</label><title>Discussion</title><sec id="sec4.1" disp-level="2"><label>4.1.</label><title>CCO imaging is a low-cost, high-precision method for multi-level PH measurement</title><p id="p0135">Currently, digital extraction of PH using aerial photography stands out as one of the most promising phenotyping methods for practical application in breeding work. This method only requires point clouds to derive PH measurements without model training [<xref rid="bib14" ref-type="bibr">14</xref>,<xref rid="bib16" ref-type="bibr">16</xref>,<xref rid="bib30" ref-type="bibr">30</xref>]. Digital camera-based surround imaging serves as the predecessor to CCO imaging and has long been utilized in crop 3D modeling [<xref rid="bib46" ref-type="bibr">46</xref>]. However, the application of this method to large-scale field crop measurements is challenging. The emergence of multi-rotor UAV has extended the application of this technology from indoor to outdoor environments. The results of this study suggest that UAV-based CCO imaging is a robust approach for measuring PH, and it can be used in the future to capture the temporal variations in PH across various crops. Although CCO imaging has the disadvantages of not being able to penetrate to shaded plants and being susceptible to light variations compared to LiDAR, its simplicity and low cost allows it to be replicated at all levels of breeding institutions. The 3D-PH extraction error of the CCO imaging for all samples before averaging over three replications in each environment are summarized in <xref rid="appsec1" ref-type="sec">Table S7</xref>. For Q90 and Q92, the 3D-PH extraction error in most environments was below 3 ​cm using FM-PH as the evaluation criterion. Additionally, we have summarized the accuracy of PH measurements across a range of crops utilizing different sensing platforms (<xref rid="appsec1" ref-type="sec">Table S8</xref>). For wheat, the <italic>RMSE</italic> for PH assessment ranged from 4.6 to 10.0 ​cm, whereas for taller crops like maize, the <italic>RMSE</italic> spanned from 16.0 to 23.7 ​cm. For soybean, rice, potato, cotton, and oilseed rape, <italic>RMSE</italic> values fell within the range of 2.60–8.6 ​cm. The <italic>RRMSE</italic> values, reflecting the relative errors in PH extraction across various studies, varied from 4.98 ​% to 13.32 ​%. The reported errors in these studies notably surpass the errors observed in our study. While recognizing differences in plant material and growing conditions, this finding still underscores the great potential of CCO imaging methods for crop PH assessment. In the future, it will be necessary to systematically compare the accuracy of measuring PH using CCO imaging and various terrestrial laser scanning platforms within the same growth environment.</p><p id="p0140">When exploring the proximity of different PH quantiles to the FM-PH, it was found that the 90 ​% and 92 ​% quantiles were more accurate than the 95–99 ​% quantiles typically preferred in previous studies [<xref rid="bib14" ref-type="bibr">14</xref>,<xref rid="bib47" ref-type="bibr">47</xref>]. This discrepancy may be due to differences in planting materials, growing conditions, or manual measurement methods, making it challenging to apply uniform standards across experiments. For instance, when measuring the height of wheat plants, we ignored the height of the awns, which may be roughly represented in the 3D model. This can result in the inclusion of awn point clouds in the higher quantiles, leading to deviations from FM-PH. Conversely, in other experiments, when manually measuring PH, the highest point of the crop canopy may be directly considered as the top of the plant, coinciding with the higher quantile of the canopy 3D model. To address this issue, we recommend conducting preliminary experiments, such as manually measuring PH in a randomly selected subset of plots in the field, to determine the optimal quantile for 3D-PH in a given environment. Subsequently, PH data can then be extracted for the majority of plots based on these determined quantiles. It is worth noting that despite the large error in 3D-PH at the high quantiles, they still found multiple stable loci (<xref rid="fig7" ref-type="fig">Fig. 7</xref>) and even the potential new loci. In manual measurements, taller plants may be overlooked, while medium-growth plants would be measured as the PH for the plot. The results this study suggest that these taller plants also harbor important genetic information, and their heights can be easily extracted through point cloud data.</p><p id="p0145">Overall, this study presents a workable method for precise wheat PH measurement using multi-level 3D plant data obtained through UAV CCO imaging. Compared to LiDAR, it offers the advantage of lower cost, and it provides higher accuracy than nadir imaging. Multi-level 3D PH data extracted from point clouds reveal more detailed information about PH characteristics and help identify more QTLs associated with specific PH. This rich information is expected to provide valuable molecular markers for wheat breeding, enabling breeders to more precisely select and improve varieties with ideal PH, thereby increasing crop yield and adaptability.</p></sec><sec id="sec4.2" disp-level="2"><label>4.2.</label><title>The efficiency of obtaining multi-level PH from CCO imaging can be improved</title><p id="p0150">Since CCO imaging is capable of organ-scale 3D reconstruction, it can also be used to assess crop leaf traits such as leaf length and leaf width, which is difficult to achieve with airborne LiDAR. However, the lower flight altitude can be time-consuming when applied in large-scale breeding experiments. For example, we used a DJI Phantom 4 aircraft equipped with 20 megapixels to execute the CCO route. With two drones working in tandem, it was able to complete the imaging in about two and a half hours. In practice, this efficiency is not satisfactory. While the addition of additional aircraft can reduce image acquisition time, it inevitably requires additional operators and carries the risk of multiple drone collisions. To address this challenge, in the future, the flight efficiency of CCO imaging can be improved through two aspects. Firstly, we can explore the implementation of autonomous flight systems utilizing advanced artificial intelligence algorithms. This system is expected to optimize the CCO routes of multiple aircraft, reducing overlap and maximizing coverage area, thereby ensuring safe and efficient operation. Importantly, this system does not require the involvement of additional operators, further enhancing operational convenience and efficiency. Secondly, raise the altitude of the flight to reduce the flight time. This method requires cameras with higher pixel counts, resulting in higher spatial resolution. In our previous study [<xref rid="bib16" ref-type="bibr">16</xref>], we explored the relationship between flight altitude and spatial resolution for cameras with different pixels, and the results showed that when using a camera with 11648∗8736 pixels, the same spatial resolution as in this study could be obtained at a flight altitude of 17 ​m, which would greatly save flight time. Moreover, the process of 3D model reconstruction using the SfM-MVS algorithm is also time-consuming. Firstly, it requires improvements in computer resources. One feasible approach is to utilize distributed computing resources, decompose tasks, and run them simultaneously on multiple computers to enhance processing efficiency. Additionally, further research and optimization of 3D model reconstruction algorithms can be conducted to reduce computational complexity and improve algorithmic parallel performance.</p></sec><sec id="sec4.3" disp-level="2"><label>4.3.</label><title>Comparison of the QTLs for PH with previous studies</title><p id="p0155">QTLs or genes influencing PH in wheat have been identified across all 21 chromosomes [<xref rid="bib2" ref-type="bibr">2</xref>]. However, no study has yet investigated QTLs using different quantiles of PH from 3D point clouds. While the number of stable loci (6–8) identified for each quantile did not notably exceed that of the FM-PH (5), complementation between different quantiles significantly increased both the quantity (11) and abundance of localized loci (<xref rid="fig7" ref-type="fig">Fig. 7</xref>). This phenomenon underscores the genetic diversity and environmental influences across various quantile ranges. This complementarity allows for a more complete understanding of changes in PH and helps to reduce errors or biases associated with single quantile measurements and manual measurements.</p><p id="p0160">For FM-PH loci, two loci (<italic>QPhzj.caas-2B.1</italic>, <italic>QPhzj.caas-4A.1</italic>) that were not detected by 3D-PH were analyzed. <italic>QPhzj.caas-2B.1</italic> (159.60–164.43 ​Mb) shares a similar position with the QTL reported by Hai et al. [<xref rid="bib48" ref-type="bibr">48</xref>]. <italic>QPhzj.caas-4A.1</italic> (46.12–59.32 ​Mb) is at similar positions to <italic>QPh.caas-4A.1</italic> [<xref rid="bib6" ref-type="bibr">6</xref>]. Nine out of the 11 loci identified by the 3D-PH were found to be consistent with those reported in previous studies. The <italic>QPhzj.caas-2B.2</italic> spanned a physical interval from 767.13 to 770.68 ​Mb. This interval is consistent with a previously identified PH QTL from 767.13 to 775.17 ​Mb [<xref rid="bib6" ref-type="bibr">6</xref>]. The physical intervals of <italic>QPhzj.caas-3A.1</italic> and <italic>QPhzj.caas-3A.2</italic> located on chromosome 3A were 466.11–477.79 ​Mb and 511.07–511.75 ​Mb, respectively. Near the physical interval of <italic>QPhzj.caas-3A.1</italic>, a previously identified PH-related QTL, with a physical position of 486.7 ​Mb, has been excavated by Rustgi et al. [<xref rid="bib49" ref-type="bibr">49</xref>]. The interval where <italic>QPhzj.caas-3A.2</italic> was located was relatively distant from all previously identified PH-related QTLs up to now [<xref rid="bib49" ref-type="bibr">49</xref>,<xref rid="bib50" ref-type="bibr">50</xref>]. Therefore, this locus may represent a novel QTL. <italic>QPhzj.caas-4A.2</italic> was mapped to a physical interval of 570.26–570.47 ​Mb, at a similar position as <italic>V1.0:582124262</italic> [<xref rid="bib51" ref-type="bibr">51</xref>]. <italic>QPhzj.caas-4D</italic> was located within the physical interval of 35.35–35.99 ​Mb, shares a similar position with the <italic>QHt.cd-4D</italic> [<xref rid="bib52" ref-type="bibr">52</xref>] and <italic>QPH. caas-4D</italic> [<xref rid="bib53" ref-type="bibr">53</xref>]. On chromosome 7A, the physical intervals of <italic>QPhzj.caas-7A.1</italic> and <italic>QPhzj.caas-7A.2</italic> were 115.81–152.83 ​Mb and 671.47–675.39 ​Mb, respectively. The interval of <italic>QPhzj.caas-7A.1</italic> was relatively distant from the currently identified PH-related QTLs on chromosome 7A. Therefore, it was speculated to be a potential novel QTL. A Previous study [<xref rid="bib6" ref-type="bibr">6</xref>] have identified a QTL within the interval of <italic>QPhzj.caas-7A.2</italic>, associated simultaneously with thousand-kernel weight, kernel length, kernel width, average grain-filling rate and kernel number per spike. Further investigation revealed the presence of the cloned gene <italic>WAPO-A1</italic> (<italic>TraesCS7A02G481600)</italic> within this interval, regulating spikelet number per spike and kernel number per spike. The previous study utilized the ZM578/JM22 RIL population to analyze the polymorphism between the parental gene sequences and developed KASP markers to identify favorable haplotypes. The results showed that lines carrying alleles from ZM578 exhibited higher thousand-kernel weight, kernel length, kernel width, and PH [<xref rid="bib6" ref-type="bibr">6</xref>,<xref rid="bib54" ref-type="bibr">54</xref>]. On chromosomes 7B and 7D, the physical intervals of <italic>QPhzj.caas-7B</italic> and <italic>QPhzj.caas-7D</italic> were 134.26 ​Mb–184.20 ​Mb and 248.80 ​Mb–340.68 ​Mb, respectively. A previously identified PH-related QTL, <italic>QHt.ipk-7B</italic>, coincides with the physical location of the <italic>QPhzj.caas-7B</italic> [<xref rid="bib55" ref-type="bibr">55</xref>]. The position of <italic>QPhzj.caas-7D</italic> is similar to the locus reported by Zhang et al. [<xref rid="bib56" ref-type="bibr">56</xref>].</p></sec><sec id="sec4.4" disp-level="2"><label>4.4.</label><title>Revealing plant height regulation mechanisms through candidate gene</title><p id="p0165">Currently, numerous genes regulating PH have been identified. The wheat gene annotations provided by IWGSC RefSeq v.1.1 are crucial for screening candidate genes. Based on stable QTLs identified through 3D-PH, this study predicts two candidate genes. Previous studies have indicated that Rht5 exhibits pleiotropic effects on PH, spike length, stem length, and grain length [<xref rid="bib44" ref-type="bibr">44</xref>]. Extensive research has revealed the significant role of gibberellins (GAs) in PH regulation [<xref rid="bib57" ref-type="bibr">57</xref>]. Genes known to regulate wheat PH, based on their response to exogenous GAs, are classified into gibberellin-sensitive types such as <italic>Rht12</italic> and <italic>Rht8</italic>, and gibberellin-insensitive types such as <italic>Rht1</italic> and <italic>Rht3</italic> [<xref rid="bib58" ref-type="bibr">58</xref>]. <italic>Rht5</italic> is a gibberellin-sensitive dominant gene induced by the Marfed mutation, which reduces PH by 25–55 ​% without affecting seedling vigor [<xref rid="bib59" ref-type="bibr">59</xref>]. As for <italic>TaGL3-5A-G</italic>, previous studies have shown that a single nucleotide polymorphism (G/A) mutation in the exon of this gene leads to an amino acid change, affecting grain length and thousand grain weight. Varieties carrying the G allele (<italic>TaGL3-5A-G</italic>) exhibit longer grain length and higher thousand grain weight, while those with the A allele have shorter grain length and lower thousand grain weight [<xref rid="bib60" ref-type="bibr">60</xref>]. Interestingly, this gene was identified within the loci associated with PH in our study. Given its high expression levels in the stem, this gene was hypothesized to have a dual role in regulating both PH and thousand grain weight. This dual functionality could be attributed to pleiotropic effects or the involvement in multiple growth and development pathways. The KASP markers developed for this gene was validated in the ZM578/JM22 RIL population triumphantly. Therefore, this gene was designated as a candidate gene of PH for further investigation. Both of these candidate genes were identified through 3D-PH. Compared to traditional manual measurement methods, this method is more effective in revealing phenotypic genetic analysis.</p></sec></sec><sec id="sec5" disp-level="1"><label>5.</label><title>Conclusion</title><p id="p0170">The measurement of crop height using UAV has become a pivotal area of research in modern agricultural science. This study specifically evaluates the effectiveness of low-cost UAV CCO imaging, conducted at a mere 4 ​m above the canopy, for assessing multi-level PH in wheat crops. Preliminary findings demonstrate that the multi-level 3D-PH data derived from CCO imaging exhibits strong correlations with FM-PH, along with high heritability and the identification of multiple stable genetic loci, including two previously unknown loci. This multi-level PH measurement method enhances researchers' ability to comprehensively analyze crop height variability and its genetic basis.</p></sec><sec id="sec7" disp-level="1"><title>Author contributions</title><p id="p0180">S.F. and Y.J. were instrumental in data collection, planning of the code, and writing of the manuscript. L.L., S.X., S.Y., D.W., G.S., B.Z., K.W. and J.M. were involved in the data collection process. J.S., J.L. and Y.M. assisted in manuscript revision. Y.X. and Y.M. designed the experiments and established the research framework. All authors read and approved the final manuscript.</p></sec><sec id="sec8" disp-level="1"><title>Data availability statement</title><p id="p0185">The plant height data for various environments and the detailed information of the genetic map can be downloaded from <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://github.com/ILIKEWIND123/Plant-Phenomics" ext-link-type="uri">https://github.com/ILIKEWIND123/Plant-Phenomics</ext-link>.</p></sec><sec id="coi0010" disp-level="1"><title>Declaration of competing interest</title><p id="p0190">The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</p></sec><sec id="ack0010" sec-type="ack" disp-level="1"><title>Acknowledgements</title><p id="p0195">This work was funded by National Key R&amp;D Program of China (2022ZD0115703), the National Natural Science Foundation of China (32372196, 42271319) and Pinduoduo-China Agricultural University Research Fund (PC2023A02002).</p></sec><sec id="fn-group1" sec-type="fn-group" disp-level="1"><title>Footnotes</title><fn-group><fn id="appsec2"><label>Appendix A</label><p id="p0205">Supplementary data to this article can be found online at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://doi.org/10.1016/j.plaphe.2025.100017" ext-link-type="uri">https://doi.org/10.1016/j.plaphe.2025.100017</ext-link>.</p></fn></fn-group></sec><sec id="_ci93_" xml:lang="en" sec-type="contrib-info" disp-level="1"><title>Contributor Information</title><p>Yonggui Xiao, Email: xiaoyonggui@caas.cn.</p><p>Yuntao Ma, Email: yuntao.ma@cau.edu.cn.</p></sec><sec id="appsec1" disp-level="1"><label>Appendix A.</label><title>Supplementary data</title><p id="p0200">The following are the Supplementary data to this article.</p><supplementary-material id="mmc1" position="float"><?disp-level 2?><caption><title>Multimedia component 1</title></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="mmc1.docx" mimetype="application" mime-subtype="vnd.openxmlformats-officedocument.wordprocessingml.document"><?cloudpmc-path 613c/12710021/49a2850cfa44/mmc1.docx?><?cloudpmc-bucket app?><?size 68366?><alt-text>Multimedia component 1</alt-text></media></supplementary-material><supplementary-material id="mmc2" position="float"><?disp-level 2?><caption><title>Multimedia component 2</title></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="mmc2.docx" mimetype="application" mime-subtype="vnd.openxmlformats-officedocument.wordprocessingml.document"><?cloudpmc-path 613c/12710021/1eb4dad27d95/mmc2.docx?><?cloudpmc-bucket app?><?size 6951279?><alt-text>Multimedia component 2</alt-text></media></supplementary-material></sec><sec id="cebib0010" sec-type="ref-list" disp-level="1"><title>References</title><sec id="cebib0010_sec2" disp-level="2"><ref-list><ref id="bib1"><label>1.</label><mixed-citation id="sref1"><named-content content-type="citation-string">Shiferaw B., Smale M., Braun H.-J., Duveiller E., Reynolds M., Muricho G. 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