几种果实表面积的三维激光扫描测定

doi:10.16420/j.issn.0513-353x.2021-0757

摘要/Abstract

摘要：

利用三维激光扫描测量臂测量果实表面积的新方法,以标准块和乒乓球为对照,精确测定了梨（Pyrus）、苹果（Malus × domestica）、橙（Citrus）、枣（Ziziphus jujuba）、番茄（Solanum lycopersicum）、香蕉（Musa nana）和葫芦（Lagenaria siceraria）7种果实的表面积。与传统公式法相比较,该方法速度快、效率高、稳定性强,适宜应用于园艺作物果实表面积的精确测量。

关键词: 果实, 表面积, 三维激光扫描测量臂

Abstract:

A new method for measuring fruit surface area is proposed based on the 3D laser scanning measuring arm. Compared to the standard blocks and ping-pong,the surface area could be accurately measured in the fruit of pear（Pyrus）,apple（Malus × domestica）,orange（Citrus）,jujube（Ziziphus jujuba）,tomato（Solanum lycopersicum）,banana（Musa nana）and Calabash Gourd（Lagenaria siceraria）. This method is much faster,more efficient,and own stronger stability than the traditional formula method,and thus could be used to accurately measure the fruit surface area of horticultural crops.

Key words: fruit, surface area, 3D laser scanning measuring arm

中图分类号:

蒙小玉, 穆悦, 胡杨, 吴潇, 朱辰, 王慧敏, 陶书田, 张绍铃, 殷豪. 几种果实表面积的三维激光扫描测定[J]. 园艺学报, 2022, 49(9): 1998-2006.

MENG Xiaoyu, MU Yue, HU Yang, WU Xiao, ZHU Chen, WANG Huimin, TAO Shutian, ZHANG Shaoling, YIN Hao. Determination of Fruit Surface Area of Several Fruit by 3D Laser Scanning Technology[J]. Acta Horticulturae Sinica, 2022, 49(9): 1998-2006.

图/表 10

参考文献 20

[1]	Chen Nian-lai, Zhang Yu-xin, Wang Xia-xia, Ma Ke-qi. 2002. Estimation method of melon fruit volume and surface area. Journal of Gansu Agricultural University,(4):503-508. (in Chinese)
	陈年来, 张玉鑫, 王霞霞, 马克奇. 2002. 甜瓜果实体积与表面积的估算方法. 甘肃农业大学学报,(4):503-508.
[2]	Dedovic N A, Matic K S, Ponjican O, Karadzic B. 2011. New approach to border line evaluations for whole sample of Williams pear(Pyrus communis). Computers and Electronics in Agriculture, 1:94-101.
[3]	Gao Xiang-bin, Zhang Xiu-sheng, Cai Lian-jie. 2009. Determination and correlation analysis of leaf area of ornamental plants. Fujian Forestry Science and Technology, 36 (2):231-234,251. (in Chinese)
	高祥斌, 张秀省, 蔡连捷. 2009. 观赏植物叶面积测定及相关分析. 福建林业科技, 36 (2):231-234,251.
[4]	Guo Jing-ren, Wang Yan-lin, Yu Lei. 2014. Calculation method of irregular solid surface area and volume based on 3D laser scanning data. Journal of Shandong University of Technology(Natural Science Edition), 28 (6):73-78. (in Chinese)
	郭景仁, 王艳林, 于蕾. 2014. 基于三维激光扫描数据的不规则实体表面积和体积计算方法. 山东理工大学学报(自然科学版), 28 (6):73-78.
[5]	Kong Jia-jun, Cao Peng, Wu Xiao, Yuan Asia, Yu Pei-jia, Tao Shu-tian, Zhang Shao-ling. 2018. Effect of different color filter membrane bagging on fruit quality and mineral element content of‘Dangshansu pear’. Acta Horticulturae Sinica, 45 (6):1173-1184. (in Chinese)
	孔佳君, 曹鹏, 吴潇, 袁亚洲, 余珮嘉, 陶书田, 张绍铃. 2018. 不同颜色滤光膜套袋对‘砀山酥梨’果实品质及矿质元素含量的影响. 园艺学报, 45 (6):1173-1184.
[6]	Liu D C, Yang L, Zheng Q, Wang Y C, Wang M L, Zhuang X, Wu Q, Liu C F, Liu S B, Liu Y. 2015. Analysis of cuticular wax constituents and genes that contribute to the formation of‘glossy Newhall’,a spontaneous bud mutant from the wild-type‘Newhall’navel orange. Plant Molecular Biology, 6:573-590.
[7]	Li Na, Song Yu-qin, Li Jie,Ren Xiao-yun,Li Liu-lin. 2017. Study on estimation model of jujube fruit surface area. Journal of Beijing Agricultural University, 32 (3):33-37. (in Chinese)
	李娜, 宋宇琴, 李洁, 任小云, 李六林. 2017. 枣果实表面积估算模型的研究. 北京农学院学报, 32(3):33-37.
[8]	Luo Wen-qiao, Wu Hong-qi, Zhao Shuai, Wang Yong, Zhao Jing-chen, Wang Zhong-hua. 2017. Difference analysis of epidermal wax composition and wax crystal structure in different organs of wheat line CP 98 (11). Northwest Botanical Journal, 37 (3):495-500. (in Chinese)
	罗文巧, 吴洪启, 赵帅, 汪勇, 赵璟琛, 王中华. 2017. 小麦品系CP98(11)不同器官表皮蜡质组分和蜡质晶体结构的差异分析. 西北植物学报, 37(3):495-500.
[9]	Ma M, Wang L B, Zhang S L, Guo L, Zhang Z, Li J, Sun LQ, Zhang S L. 2020. Acid vacuolar invertase 1(PbrAc-Inv1)and invertase inhibitor 5(PbrII5)were involved in sucrose hydrolysis during postharvest pear storage. Food Chemisstry, 320:126635.
[10]	Soltani M, Alimardani R, Omid M. 2011. Some physical properties of full-ripe banana Fruit(Cavendish variety). International Journal of Agricultural Science,Research and Technology, 1 (1):1-5.
[11]	Sun Ai-yi, Wang Jian, Zhao Fu-yan, Jing Wen-sheng. 2016. Method for measuring the surface area of irregular objects based on three-dimensional laser scanning technology. Surveying,Mapping and Spatial Geographic Information, 39 (6):36-39. (in Chinese)
	孙爱怡, 王健, 赵富燕, 井文胜. 2016. 基于三维激光扫描技术的不规则物体表面积的测定方法. 测绘与空间地理信息, 39 (6):36-39.
[12]	Turrell F M. 1946. Tables of surfaces and volumes of spheres and of prolate and oblate spheroids, and spheroidal coefficients. University of California Press.
[13]	Wang Wei,Duan Hu-rong,Zhang De-cheng,Jia Rong-chao. 2019. A method for solving the volume and surface area of irregular bodies after three-dimensional laser scanning. Surveying,Mapping and Spatial Geographic Information, 42 (8):172-175. (in Chinese)
	王伟, 段虎荣, 张德成, 贾荣超. 2019. 一种求解三维激光扫描后不规则体的体积及表面积方法. 测绘与空间地理信息, 42 (8):172-175.
[14]	Yan Y, Yang B, Song J, Chen Y C, Li Y, Wang Y H, Ge B, Ding Y C, Li Z Z. 2011. Chemical composition and antifungal activity of cuticular wax isolated from Asian pear fruit(cv. Pingguoli). Scientia Horticulturae, 4:577-582.
[15]	Yuan Ke-jun, Li Zhen-san, Zhang Dao-hui, Sun Yu-gang, Sun Rui-hong. 2000. Establishment of a new method for measuring pear fruit surface area. Acta Biomathematica Sinica,(1):29-34. (in Chinese)
	苑克俊, 李震三, 张道辉, 孙玉刚, 孙瑞红. 2000. 梨果实表面积新测算方法的建立. 生物数学学报,(1):29-34.
[16]	Yuan Ke-jun, Liu Qing-zhong, Li Sheng-long, Chen Xiu-xia. 2006. A new method for measuring leaf area of fruit trees by digital camera. Acta Horticulturae Sinica, 33 (4):829-832. (in Chinese)
	苑克俊, 刘庆忠, 李圣龙, 陈秀霞. 2006. 利用数码相机测定果树叶面积的新方法. 园艺学报, 33 (4):829-832.
[17]	Yuan Ke-jun, Sun Rui-hong, Yang Heng-ai. 1995. A new method for measuring the surface area of apple fruit. Acta Biomathematica Sinica,(4):159-163. (in Chinese)
	苑克俊, 孙瑞红, 杨恒爱. 1995. 苹果果实表面积的一种新测算方法. 生物数学学报,(4):159-163.
[18]	Zhang C, Fan X C, Liu C H, Fang J G. 2021. Anatomical berry characteristics during the development of grape berries with different shapes. Horticultural Plant Journal, 7 (4):295-306. doi: 10.1016/j.hpj.2021.04.002 URL
[19]	Zhao X, Huang L, Kang L, Jetter R, Yao L H, Li Y, Xiao Y, Wang D K, Xiao Q L, Ni Y, Guo Y J. 2019. Comparative analyses of cuticular waxes on various organs of faba bean(Vicia faba L.). Plant Physiology and Biochemistry, 139:102-112. doi: S0981-9428(19)30097-X pmid: 30884413
[20]	Zhou Yu-cheng, Zhou Yuan-chao. 2021. Numerical calculation of ellipse perimeter and ellipsoid surface area. Mathematical World(first ten days),(8):53-54. (in Chinese)
	周钰承, 周园钞. 2021. 椭圆周长与椭球表面积的数值计算. 数学大世界(上旬),(8):53-54.

规格/（mm × mm × mm） Specification	S₀理论值/mm² Theoretical	S₁扫描值/mm² By the ScanArm	S₁-S₀/mm²	误差/% （S₁-S₀）/S₀
70 × 35 × 9	6 790	6 790.11	0.11	0.0016
50 × 35 × 9	5 030	5 029.81	-0.19	-0.0038
30 × 35 × 9	3 270	3 270.96	0.96	0.0294

规格/（mm × mm × mm） Specification	S₀理论值/mm² Theoretical	S₁扫描值/mm² By the ScanArm	S₁-S₀/mm²	误差/% （S₁-S₀）/S₀
70 × 35 × 9	6 790	6 790.11	0.11	0.0016
50 × 35 × 9	5 030	5 029.81	-0.19	-0.0038
30 × 35 × 9	3 270	3 270.96	0.96	0.0294

重复 Repetition	直径/mm Diameter	S₀理论值/mm² Theoretical	S₁扫描值/mm² By the ScanArm	S₁-S₀/mm²	误差/% （S₁-S₀）/S₀
1	40.018	5 031.073	5 033.60	2.527	0.05
2	40.002	5 027.050	5 031.27	4.220	0.08
3	40.002	5 027.050	5 030.80	3.750	0.07
4	40.038	5 036.103	5 032.50	-3.603	-0.07
5	40.014	5 030.067	5 033.95	3.883	0.08

重复 Repetition	直径/mm Diameter	S₀理论值/mm² Theoretical	S₁扫描值/mm² By the ScanArm	S₁-S₀/mm²	误差/% （S₁-S₀）/S₀
1	40.018	5 031.073	5 033.60	2.527	0.05
2	40.002	5 027.050	5 031.27	4.220	0.08
3	40.002	5 027.050	5 030.80	3.750	0.07
4	40.038	5 036.103	5 032.50	-3.603	-0.07
5	40.014	5 030.067	5 033.95	3.883	0.08

果实 Fruit	重复 Repetition	纵径/mm Longitudinal diameter		横径/mm Horizontal diameter		梗洼深/mm Stalk cavity depth	萼洼深/mm Calyx depression depth	表面积/mm² Surface area
果实 Fruit	重复 Repetition	L1	L2	D1	D2	梗洼深/mm Stalk cavity depth	萼洼深/mm Calyx depression depth	公式计算 By formula	扫描测量 By the ScanArm
梨Pear	1	82.40	75.01	63.02	57.64	7.42	6.93	16 074.70	14 350.00
	2	84.43	74.73	61.61	61.72	7.17	9.50	17 035.11	15 536.80
	3	77.01	77.34	57.26	54.99	7.05	7.44	14 592.61	12 842.60
苹果Apple	1	71.68	73.00	81.47	80.06	15.23	13.21	23 729.57	22 934.40
	2	75.00	74.77	83.49	83.01	14.06	12.50	25 078.91	23 759.60
	3	65.34	67.79	77.94	77.76	15.35	12.36	21 398.65	20 315.50
枣Jujube	1	52.03	51.97	57.03	57.26	9.73	0	11 126.75	10 373.40
	2	51.61	49.84	56.33	56.36	6.09	0	10 155.99	10 009.60
	3	51.12	51.15	52.17	52.14	7.39	0	9 402.44	9 152.50
番茄Tomato	1	57.39	60.12	66.11	65.98	3.22	0	12 472.97	14 213.90
	2	63.76	64.69	69.96	68.95	4.26	0	14 428.01	15 708.90
	3	60.62	59.88	65.45	65.11	2.70	0	12 042.35	14 025.20