基于B样条曲线的水稻叶片几何参数测量系统
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摘要
基于B样条曲线的水稻叶片几何参数测量系统能无损、精确获取水稻叶片几何参数,可为农学研究提供精准数据。该研究分析了B样条曲线拟合基本原理,采用1次B样条曲线获取水稻最大叶宽,基于3次B样条曲线交互绘制手势轨迹曲线逼近叶脉获取水稻叶长,控制点数量和位置可人工干预,实现轨迹曲线实时调整。运用变异系数和均方根误差评价测量结果,结果显示,叶长变异系数为2.4%,叶宽变异系数为5.4%,均小于15%,测量结果精度较高;建立系统预测值和实测值线性回归拟合模型,水稻叶长均方根误差为1.534 0 cm,叶宽均方根误差为0.101 9 cm,系统预测能力较好。利用B样条曲线测量叶片几何参数,前期图像获取简便,能够真正实现便捷、无损、准确获取水稻叶长、叶宽,为水稻叶片几何参数的测定提供了一种新的测量方法,可满足农业科学研究基本需要。
In order to obtain accurate geometric parameters of rice leaves non-destructively and to provide accurate data for agronomic research, the rice leaf geometric parameter measurement system based on B-spline curve was developed. The basic principle of B-spline curve fitting was elaborated, and the maximum leaf width of rice was obtained by using first order B-spline curve and the leaf length was obtained with gesture trajectory curve drawn to approximate the leaf vein based on cubic B-spline curve. Moreover, the number and position of control points could be manually intervened, therefore to realize real-time adjustment of the trajectory curve. In the results analysis, coefficient of variation(CV) and root mean square error(RMSE) were applied to evaluate the precision and accuracy of results. The leaf length CV was 2.4%, the leaf width CV was 5.4%, both were less than 15%, which meant that the results were of high precision; Meanwhile, linear regression fitting model of system prediction and measured values was established, found that the RMSE of leaf length was 1.534 0 cm and the RMSE of leaf width was 0.101 9 cm, which demonstrated that the system had excellent prediction ability. The results showed that the B-spline curve based measurement system could truly realize accurate acquisition of rice leaf length and leaf width conveniently and non-destructively and without much restriction in photo shooting, which provided a new measurement method for the determination of rice leaf geometric parameters and could satisfy the basic needs of agricultural scientific research.
In order to obtain accurate geometric parameters of rice leaves non-destructively and to provide accurate data for agronomic research, the rice leaf geometric parameter measurement system based on B-spline curve was developed. The basic principle of B-spline curve fitting was elaborated, and the maximum leaf width of rice was obtained by using first order B-spline curve and the leaf length was obtained with gesture trajectory curve drawn to approximate the leaf vein based on cubic B-spline curve. Moreover, the number and position of control points could be manually intervened, therefore to realize real-time adjustment of the trajectory curve. In the results analysis, coefficient of variation(CV) and root mean square error(RMSE) were applied to evaluate the precision and accuracy of results. The leaf length CV was 2.4%, the leaf width CV was 5.4%, both were less than 15%, which meant that the results were of high precision; Meanwhile, linear regression fitting model of system prediction and measured values was established, found that the RMSE of leaf length was 1.534 0 cm and the RMSE of leaf width was 0.101 9 cm, which demonstrated that the system had excellent prediction ability. The results showed that the B-spline curve based measurement system could truly realize accurate acquisition of rice leaf length and leaf width conveniently and non-destructively and without much restriction in photo shooting, which provided a new measurement method for the determination of rice leaf geometric parameters and could satisfy the basic needs of agricultural scientific research.
引文
[1] 危扬.基于光模型的高产作物株型定量化设计研究[D].杭州:浙江工业大学,2014.WEI Y.A research for plant type quantitative design of high-yield crop based on light model[D].Hangzhou:Zhejiang University of Technology,2014.(in Chinese with English abstract)
[2] 康宇.植物叶片几何参数测量研究与应用[D].绵阳:西南科技大学,2016.KANG Y.Research and application of plant leaf geometric parameters measurement[D].Mianyang:Southwest University of Science and Technology,2016.(in Chinese with English abstract)
[3] 李宝光,黄芳.植物叶片面积的测定方法[J].山东理工大学学报(自然科学版),2004,18(4):94-96.LI B G,HUANG F.Measurement of plant leaf area[J].Journal of Shandong University of Technology(Science and Technology),2004,18(4):94-96.(in Chinese with English abstract)
[4] 杨劲峰,陈清,韩晓日,等.数字图像处理技术在蔬菜叶面积测量中的应用[J].农业工程学报,2002,18(4):155-158.YANG J F,CHEN Q,HAN X R,et al.Measurement of vegetable leaf area using digital image processing techniques[J].Transactions of the Chinese Society of Agricultural Engineering,2002,18(4):155-158.(in Chinese with English abstract)
[5] 梁雪梅,高敏华.基于GIS的植物叶片信息测量研究[J].湖北农业科学,2017,56(11):2139-2144.LIANG X M,GAO M H.Study on information measurement of plant leaf based on GIS[J].Hubei Agricultural Sciences,2017,56(11):2139-2144.(in Chinese with English abstract)
[6] 曹栎,赵小光,王竹云,等.甘蓝型油菜叶面积测定方法的研究[J].江西农业学报,2018,30(8):33-36.CAO Y,ZHAO X G,WANG Z Y,et al.Study on method for determination of leaf area of brassica napus[J].Acta Agriculturae Jiangxi,2018,30(8):33-36.(in Chinese with English abstract)
[7] 张新平,董洁,张芳芳,等.几种常用的树木叶面积测量方法比较[J].中国城市林业,2016,14(2):38-42.ZHANG X P,DONG J,ZHANG F F,et al.Comparison of leaf area measurement method for several commonly planted tree species[J].Journal of Chinese Urban Forestry,2016,14(2):38-42.(in Chinese with English abstract)
[8] 陈超君,黄敏,尹小红.广金钱草叶面积测量方法的研究[J].作物杂志,2007(5):46-48.CHEN C J,HUANG M,YIN X H.Methods of leaf area measurement in Desmodium styracifolium[J].Crops,2007(5):46-48.(in Chinese)
[9] 孙玉婷,杨红云,王映龙,等.基于支持向量机的水稻叶面积测定[J].江苏农业学报,2018,34(5):1027-1035.SUN Y T,YANG H Y,WANG Y L,et al.Determination of rice leaf area based on support vector machine[J].Jiangsu Journal of Agricultural Sciences,2018,34(5):1027-1035.(in Chinese with English abstract)
[10] 吴千华,孟祥丽,刘一鸣.植物叶面积测定方法探讨[J].热带林业,2018,46(2):37-39.WU Q H,MENG X L,LIU Y M.Discussion about the methods of measuring leaf area of plants[J].Tropical Forestry,2018,46(2):37-39.(in Chinese with English abstract)
[11] CHAUDHARY P,GODARA S,CHEERAN A N,et al.Fast and accurate method for leaf area measurement[J].International Journal of Computer Applications,2012,49(9):22-25.
[12] NYAKWENDE E,PAULL C J,ATHERTON J G.Non-destructive determination of leaf area in tomato plants using image processing[J].Journal of Horticultural Science,1997,72(2):255-262.
[13] 乐通潮,张会儒,谭芳林.基于自动分类法的红树植物叶片信息测定[J].林业科学,2014,50(5):34-40.LE T C,ZHANG H R,TAN F L.Application of automatic classification method to measuring leaf parameters of mangrove[J].Scientia Silvae Sinicae,2014,50(5):34-40.(in Chinese with English abstract)
[14] 冯辉,张婷,王维佳,等.基于图像处理技术的番茄部分株型信息的获取[J].园艺学报,2009,36(6):923-928.FENG H,ZHANG T,WANG W J,et al.Some plant-type parameters measurement based on image technology in tomato[J].Acta Horticulturae Sinica,2009,36(6):923-928.(in Chinese with English abstract)
[15] 崔世钢,秦建华,张永立.基于图像处理技术的植物叶片面积和周长测量[J].江苏农业科学,2018,46(15):187-189.CUI S G,QIN J H,ZHANG Y L.Measurement of leaf area and girth based on image processing technology[J].Jiangsu Agricultural Sciences,2018,46(15):187-189.(in Chinese)
[16] 刘浩,孙景生,段爱旺,等.基于AutoCAD软件确定番茄与青椒叶面积的简易方法[J].中国农学通报,2009,25(5):287-293.LIU H,SUN J S,DUAN A W,et al.Simple model for tomato and green pepper leaf area based on AutoCAD software[J].Chinese Agricultural Science Bulletin,2009,25(5):287-293.(in Chinese with English abstract)
[17] 牛珂.基于图像处理的植物叶片参数测量系统研究与实现[D].杨凌:西北农林科技大学,2011.NIU K.Research and implementation of leaf parameter measuring system based on image processing[D].Yangling:Northwest A & F University,2011.(in Chinese with English abstract)
[18] 姜伟杰,孙明,赵卓英.基于图像处理技术番茄植物叶片检测方法研究[C]//中国农业工程学会,中国自动化学会.农业信息化、自动化与电气化国际会议论文集.镇江:2008.
[19] 陈爱军.基于图像处理的植物叶片参数的测量[J].东北林业大学学报,2009,37(4):46-47.CHEN A J.Measurement of plant leaf parameters based on image processing[J].Journal of Northeast Forestry University,2009,37(4):46-47.(in Chinese with English abstract)
[20] 李彦锋.基于图像处理的植物叶片几何形态数据获取方法的研究[D].哈尔滨:东北农业大学,2006.LI Y F.Studies on method of getting geometrical shape data of vegetal leafs based on image processing[D].Harbin:Northeast Agricultural University,2006.(in Chinese with English abstract)
[21] 李洋,李岳阳,罗海驰,等.基于形状特征的植物叶片在线识别方法[J].计算机工程与应用,2017,53(2):162-165.LI Y,LI Y Y,LUO H C,et al.Online plant left recognition based on shape features[J].Computer Engineering and Applications,2017,53(2):162-165.(in Chinese with English abstract)
[22] 姚明胜.基于叶片特征的植物种类识别研究及识别系统实现[D].郑州:郑州大学,2016.YAO M S.Study on plant species recognition based on leaf characteristics and realization of recognition system[D].Zhengzhou:Zhengzhou University,2016.(in Chinese with English abstract)
[23] 普楠.基于轮廓特征的植物叶片识别系统[J].科技创新与应用,2014(31):4-6.PU N.Leaf recognition system based on contour feature[J].Technology Innovation and Application,2014(31):4-6.(in Chinese)
[24] 夏永泉,王会敏,曾莎.基于Android的植物叶片图像病害检测[J].郑州轻工业学院学报(自然科学版),2014,29(2):71-74.XIA Y Q,WANG H M,ZENG S.Plant leaf image disease detection based on Android[J].Journal of Zhengzhou University of Light Industry (Natural Science Edition),2014,29(2):71-74.(in Chinese with English abstract)
[25] 周超超.基于Android手机平台的玉米叶片含氮量检测方法研究[D].杨凌:西北农林科技大学,2014.ZHOU C C.Study of detection method for maize leaf nitrogen content based on Android mobile phone platform[D].Yangling:Northwest A & F University,2014.(in Chinese with English abstract)
[26] 王洋洋,孙伟,李淦,等.基于Android平台的荒漠柽柳地上生物量无损快速估测方法[J].浙江农业学报,2017,29(11):1920-1929.WANG Y Y,SUN W,LI G,et al.Rapid and non-destructive estimation method for aboveground biomass of Tamarix ramosissima based on Android platform[J].Acta Agriculturae Zhejiangensis,2017,29(11):1920-1929.(in Chinese with English abstract)
[27] 龚爱平,吴武豪,裘正军,等.基于Android系统手机的叶面积测量方法[J].农业机械学报,2013,44(9):203-208.GONG A P,WU W H,QIU Z J,et al.Leaf area measurement using Android OS mobile phone[J].Transactions of the Chinese Society for Agricultural Machinery,2013,44(9):203-208.(in Chinese with English abstract)
[28] 徐义鑫,李凤菊,王建春,等.基于OpenCV的Android手机植物叶片几何参数测量系统[J].中国农学通报,2015,31(35):236-244.XU Y X,LI F J,WANG J C,et al.Open CV-based measurement system for plant leaf geometry parameters using Android mobile phone[J].Chinese Agricultural Science Bulletin,2015,31(35):236-244.(in Chinese with English abstract)
[29] 贺伊琳,高奇,赵丹,等.基于改进RRT算法的无人驾驶汽车轨迹规划[J].西北大学学报(自然科学版),2018,48(5):651-658.HE Y L,GAO Q,ZHAO D,et al.The trajectory planning of autonomous vehicle based on improved RRT algorithm[J].Journal of Northwest University(Natural Science Edition),2018,48(5):651-658.(in Chinese with English abstract)
[30] ANDERSSON F ,KVERNES B .Bezier and B-spline technology[EB/OL].[2018-12-03].https://www.researchgate.net/publication/2851975_Bezier_and_B-spline_Technology.
[31] 郑天江,李俊杰,陈庆盈,等.基于三次B样条的移动机器人实时轨迹规划研究[J].制造业自动化,2017,39(5):4-7.ZHENG T J,LI J J,CHEN Q Y,et al.A study of robot motion controller based on pure network[J].Manufacturing Automation,2017,39(5):4-7.(in Chinese with English abstract)
[32] 张闯,王婷婷,孙冬娇,等.基于欧氏距离图的图像边缘检测[J].中国图象图形学报,2013,18(2):176-183.ZHANG C,WANG T T,SUN D J,et al.Image edge detection based on the Euclidean distance graph[J].Journal of Image and Graphics,2013,18(2):176-183.(in Chinese with English abstract)
[33] BREU H,GIL J,KIRKPATRICK D,et al.Linear time Euclidean distance transform algorithms[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1995,17(5):529-533.
[34] 袁隆平.杂交水稻超高产育种[J].杂交水稻,1997(6):1-6.YUAN L P.Super high yield breeding of hybrid rice[J].Hybrid Rice,1997(6):1-6.(in Chinese)
[35] 朱波,华金渭,吉庆勇,等.铁皮石斛杂交育种F1代叶面积回归测定方法研究[J].浙江农业学报,2015,27(10):1761-1764.ZHU B,HUA J W,JI Q Y,et al.Study on regression analysis of leaf area in F1 generation of Dendrobium officinale cross breeding[J].Acta Agriculturae Zhejiangensis,2015,27(10):1761-1764.(in Chinese with English abstract)
[36] 郭斯羽,周乐前,温和.长叶柄轴对称植物叶片长度的图像测量方法[J].电子测量与仪器学报,2015,29(6):866-873.GUO S Y,ZHOU L Q,WEN H.Image-based length measurement method of axially symmetric plant leaves with elongated petiole[J].Journal of Electronic Measurement and Instrumentation,2015,29(6):866-873.(in Chinese with English abstract)
[2] 康宇.植物叶片几何参数测量研究与应用[D].绵阳:西南科技大学,2016.KANG Y.Research and application of plant leaf geometric parameters measurement[D].Mianyang:Southwest University of Science and Technology,2016.(in Chinese with English abstract)
[3] 李宝光,黄芳.植物叶片面积的测定方法[J].山东理工大学学报(自然科学版),2004,18(4):94-96.LI B G,HUANG F.Measurement of plant leaf area[J].Journal of Shandong University of Technology(Science and Technology),2004,18(4):94-96.(in Chinese with English abstract)
[4] 杨劲峰,陈清,韩晓日,等.数字图像处理技术在蔬菜叶面积测量中的应用[J].农业工程学报,2002,18(4):155-158.YANG J F,CHEN Q,HAN X R,et al.Measurement of vegetable leaf area using digital image processing techniques[J].Transactions of the Chinese Society of Agricultural Engineering,2002,18(4):155-158.(in Chinese with English abstract)
[5] 梁雪梅,高敏华.基于GIS的植物叶片信息测量研究[J].湖北农业科学,2017,56(11):2139-2144.LIANG X M,GAO M H.Study on information measurement of plant leaf based on GIS[J].Hubei Agricultural Sciences,2017,56(11):2139-2144.(in Chinese with English abstract)
[6] 曹栎,赵小光,王竹云,等.甘蓝型油菜叶面积测定方法的研究[J].江西农业学报,2018,30(8):33-36.CAO Y,ZHAO X G,WANG Z Y,et al.Study on method for determination of leaf area of brassica napus[J].Acta Agriculturae Jiangxi,2018,30(8):33-36.(in Chinese with English abstract)
[7] 张新平,董洁,张芳芳,等.几种常用的树木叶面积测量方法比较[J].中国城市林业,2016,14(2):38-42.ZHANG X P,DONG J,ZHANG F F,et al.Comparison of leaf area measurement method for several commonly planted tree species[J].Journal of Chinese Urban Forestry,2016,14(2):38-42.(in Chinese with English abstract)
[8] 陈超君,黄敏,尹小红.广金钱草叶面积测量方法的研究[J].作物杂志,2007(5):46-48.CHEN C J,HUANG M,YIN X H.Methods of leaf area measurement in Desmodium styracifolium[J].Crops,2007(5):46-48.(in Chinese)
[9] 孙玉婷,杨红云,王映龙,等.基于支持向量机的水稻叶面积测定[J].江苏农业学报,2018,34(5):1027-1035.SUN Y T,YANG H Y,WANG Y L,et al.Determination of rice leaf area based on support vector machine[J].Jiangsu Journal of Agricultural Sciences,2018,34(5):1027-1035.(in Chinese with English abstract)
[10] 吴千华,孟祥丽,刘一鸣.植物叶面积测定方法探讨[J].热带林业,2018,46(2):37-39.WU Q H,MENG X L,LIU Y M.Discussion about the methods of measuring leaf area of plants[J].Tropical Forestry,2018,46(2):37-39.(in Chinese with English abstract)
[11] CHAUDHARY P,GODARA S,CHEERAN A N,et al.Fast and accurate method for leaf area measurement[J].International Journal of Computer Applications,2012,49(9):22-25.
[12] NYAKWENDE E,PAULL C J,ATHERTON J G.Non-destructive determination of leaf area in tomato plants using image processing[J].Journal of Horticultural Science,1997,72(2):255-262.
[13] 乐通潮,张会儒,谭芳林.基于自动分类法的红树植物叶片信息测定[J].林业科学,2014,50(5):34-40.LE T C,ZHANG H R,TAN F L.Application of automatic classification method to measuring leaf parameters of mangrove[J].Scientia Silvae Sinicae,2014,50(5):34-40.(in Chinese with English abstract)
[14] 冯辉,张婷,王维佳,等.基于图像处理技术的番茄部分株型信息的获取[J].园艺学报,2009,36(6):923-928.FENG H,ZHANG T,WANG W J,et al.Some plant-type parameters measurement based on image technology in tomato[J].Acta Horticulturae Sinica,2009,36(6):923-928.(in Chinese with English abstract)
[15] 崔世钢,秦建华,张永立.基于图像处理技术的植物叶片面积和周长测量[J].江苏农业科学,2018,46(15):187-189.CUI S G,QIN J H,ZHANG Y L.Measurement of leaf area and girth based on image processing technology[J].Jiangsu Agricultural Sciences,2018,46(15):187-189.(in Chinese)
[16] 刘浩,孙景生,段爱旺,等.基于AutoCAD软件确定番茄与青椒叶面积的简易方法[J].中国农学通报,2009,25(5):287-293.LIU H,SUN J S,DUAN A W,et al.Simple model for tomato and green pepper leaf area based on AutoCAD software[J].Chinese Agricultural Science Bulletin,2009,25(5):287-293.(in Chinese with English abstract)
[17] 牛珂.基于图像处理的植物叶片参数测量系统研究与实现[D].杨凌:西北农林科技大学,2011.NIU K.Research and implementation of leaf parameter measuring system based on image processing[D].Yangling:Northwest A & F University,2011.(in Chinese with English abstract)
[18] 姜伟杰,孙明,赵卓英.基于图像处理技术番茄植物叶片检测方法研究[C]//中国农业工程学会,中国自动化学会.农业信息化、自动化与电气化国际会议论文集.镇江:2008.
[19] 陈爱军.基于图像处理的植物叶片参数的测量[J].东北林业大学学报,2009,37(4):46-47.CHEN A J.Measurement of plant leaf parameters based on image processing[J].Journal of Northeast Forestry University,2009,37(4):46-47.(in Chinese with English abstract)
[20] 李彦锋.基于图像处理的植物叶片几何形态数据获取方法的研究[D].哈尔滨:东北农业大学,2006.LI Y F.Studies on method of getting geometrical shape data of vegetal leafs based on image processing[D].Harbin:Northeast Agricultural University,2006.(in Chinese with English abstract)
[21] 李洋,李岳阳,罗海驰,等.基于形状特征的植物叶片在线识别方法[J].计算机工程与应用,2017,53(2):162-165.LI Y,LI Y Y,LUO H C,et al.Online plant left recognition based on shape features[J].Computer Engineering and Applications,2017,53(2):162-165.(in Chinese with English abstract)
[22] 姚明胜.基于叶片特征的植物种类识别研究及识别系统实现[D].郑州:郑州大学,2016.YAO M S.Study on plant species recognition based on leaf characteristics and realization of recognition system[D].Zhengzhou:Zhengzhou University,2016.(in Chinese with English abstract)
[23] 普楠.基于轮廓特征的植物叶片识别系统[J].科技创新与应用,2014(31):4-6.PU N.Leaf recognition system based on contour feature[J].Technology Innovation and Application,2014(31):4-6.(in Chinese)
[24] 夏永泉,王会敏,曾莎.基于Android的植物叶片图像病害检测[J].郑州轻工业学院学报(自然科学版),2014,29(2):71-74.XIA Y Q,WANG H M,ZENG S.Plant leaf image disease detection based on Android[J].Journal of Zhengzhou University of Light Industry (Natural Science Edition),2014,29(2):71-74.(in Chinese with English abstract)
[25] 周超超.基于Android手机平台的玉米叶片含氮量检测方法研究[D].杨凌:西北农林科技大学,2014.ZHOU C C.Study of detection method for maize leaf nitrogen content based on Android mobile phone platform[D].Yangling:Northwest A & F University,2014.(in Chinese with English abstract)
[26] 王洋洋,孙伟,李淦,等.基于Android平台的荒漠柽柳地上生物量无损快速估测方法[J].浙江农业学报,2017,29(11):1920-1929.WANG Y Y,SUN W,LI G,et al.Rapid and non-destructive estimation method for aboveground biomass of Tamarix ramosissima based on Android platform[J].Acta Agriculturae Zhejiangensis,2017,29(11):1920-1929.(in Chinese with English abstract)
[27] 龚爱平,吴武豪,裘正军,等.基于Android系统手机的叶面积测量方法[J].农业机械学报,2013,44(9):203-208.GONG A P,WU W H,QIU Z J,et al.Leaf area measurement using Android OS mobile phone[J].Transactions of the Chinese Society for Agricultural Machinery,2013,44(9):203-208.(in Chinese with English abstract)
[28] 徐义鑫,李凤菊,王建春,等.基于OpenCV的Android手机植物叶片几何参数测量系统[J].中国农学通报,2015,31(35):236-244.XU Y X,LI F J,WANG J C,et al.Open CV-based measurement system for plant leaf geometry parameters using Android mobile phone[J].Chinese Agricultural Science Bulletin,2015,31(35):236-244.(in Chinese with English abstract)
[29] 贺伊琳,高奇,赵丹,等.基于改进RRT算法的无人驾驶汽车轨迹规划[J].西北大学学报(自然科学版),2018,48(5):651-658.HE Y L,GAO Q,ZHAO D,et al.The trajectory planning of autonomous vehicle based on improved RRT algorithm[J].Journal of Northwest University(Natural Science Edition),2018,48(5):651-658.(in Chinese with English abstract)
[30] ANDERSSON F ,KVERNES B .Bezier and B-spline technology[EB/OL].[2018-12-03].https://www.researchgate.net/publication/2851975_Bezier_and_B-spline_Technology.
[31] 郑天江,李俊杰,陈庆盈,等.基于三次B样条的移动机器人实时轨迹规划研究[J].制造业自动化,2017,39(5):4-7.ZHENG T J,LI J J,CHEN Q Y,et al.A study of robot motion controller based on pure network[J].Manufacturing Automation,2017,39(5):4-7.(in Chinese with English abstract)
[32] 张闯,王婷婷,孙冬娇,等.基于欧氏距离图的图像边缘检测[J].中国图象图形学报,2013,18(2):176-183.ZHANG C,WANG T T,SUN D J,et al.Image edge detection based on the Euclidean distance graph[J].Journal of Image and Graphics,2013,18(2):176-183.(in Chinese with English abstract)
[33] BREU H,GIL J,KIRKPATRICK D,et al.Linear time Euclidean distance transform algorithms[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1995,17(5):529-533.
[34] 袁隆平.杂交水稻超高产育种[J].杂交水稻,1997(6):1-6.YUAN L P.Super high yield breeding of hybrid rice[J].Hybrid Rice,1997(6):1-6.(in Chinese)
[35] 朱波,华金渭,吉庆勇,等.铁皮石斛杂交育种F1代叶面积回归测定方法研究[J].浙江农业学报,2015,27(10):1761-1764.ZHU B,HUA J W,JI Q Y,et al.Study on regression analysis of leaf area in F1 generation of Dendrobium officinale cross breeding[J].Acta Agriculturae Zhejiangensis,2015,27(10):1761-1764.(in Chinese with English abstract)
[36] 郭斯羽,周乐前,温和.长叶柄轴对称植物叶片长度的图像测量方法[J].电子测量与仪器学报,2015,29(6):866-873.GUO S Y,ZHOU L Q,WEN H.Image-based length measurement method of axially symmetric plant leaves with elongated petiole[J].Journal of Electronic Measurement and Instrumentation,2015,29(6):866-873.(in Chinese with English abstract)