Acta Horticulturae Sinica ›› 2022, Vol. 49 ›› Issue (9): 1998-2006.doi: 10.16420/j.issn.0513-353x.2021-0757
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MENG Xiaoyu1, MU Yue3, HU Yang1, WU Xiao1, ZHU Chen3, WANG Huimin3, TAO Shutian1,2, ZHANG Shaoling1,2(), YIN Hao1()
Received:
2022-03-07
Revised:
2022-06-19
Online:
2022-09-25
Published:
2022-10-08
CLC Number:
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.
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URL: https://www.ahs.ac.cn/EN/10.16420/j.issn.0513-353x.2021-0757
Fig. 1 Schematic diagram of FARO 3D laser scanning measuring arm A:ScanArm;B:Point-cloud map;C:Triangulation;D:The area of triangle is calculated by Helen's formula;E:Measure the surface area.
Fig. 2 Schematic diagram of alignment A:Select alignment objects;B:Starting selection;C:Selection of the feature points;D:The Mosaic of scanning point cloud;E:Create triangle model;F:Triangulated 3D model graphs. The arrow points to the selection object.
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 |
Table 1 Surface area measurement record of standard block
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 |
Table 2 Surface area measurement record of ping-pong
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 | |||
---|---|---|---|---|---|---|---|---|---|
L1 | L2 | D1 | D2 | 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 |
Table 3 Surface area of pear,apple,jujube and tomato calculated by formula method and the scanning arm measurement
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 | |||
---|---|---|---|---|---|---|---|---|---|
L1 | L2 | D1 | D2 | 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 |
果实 Fruit | 重复 Repetition | 橙和葫芦上半椭球 Orange and gourd upper semi ellipsoid | 葫芦下半椭球 Gourd lower semi ellipsoid | 总表面积/mm² Total surface area | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
a/mm | b/mm | c/mm | 表面积/mm² Surface area | a/mm | b/mm | c/mm | 表面积/mm² Surface area | 公式计算 By formula | 扫描测量 By the ScanArm | ||
葫芦 Calabash gourd | 1 | 12.48 | 12.52 | 13.79 | 2 098.515 | 23.13 | 23.22 | 18.395 | 5 841.891 | 7 940.41 | 7 767.30 |
2 | 9.68 | 9.70 | 10.38 | 1 234.953 | 22.31 | 21.90 | 16.595 | 5 151.355 | 6 386.31 | 6 400.30 | |
3 | 11.33 | 11.50 | 12.33 | 1 725.332 | 15.35 | 15.27 | 10.785 | 2 388.328 | 4 113.66 | 3 887.70 | |
橙 Orange | 1 | 38.94 | 39.08 | 41.37 | — | — | — | — | — | 19 886.66 | 21 059.90 |
2 | 38.45 | 39.66 | 40.05 | — | — | — | — | — | 19 482.32 | 20 512.80 | |
3 | 39.83 | 39.40 | 39.69 | — | — | — | — | — | 19 731.26 | 20 310.30 |
Table 4 Surface area of gourd and orange calculated by formula method and the FARO scanning arm measurement
果实 Fruit | 重复 Repetition | 橙和葫芦上半椭球 Orange and gourd upper semi ellipsoid | 葫芦下半椭球 Gourd lower semi ellipsoid | 总表面积/mm² Total surface area | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
a/mm | b/mm | c/mm | 表面积/mm² Surface area | a/mm | b/mm | c/mm | 表面积/mm² Surface area | 公式计算 By formula | 扫描测量 By the ScanArm | ||
葫芦 Calabash gourd | 1 | 12.48 | 12.52 | 13.79 | 2 098.515 | 23.13 | 23.22 | 18.395 | 5 841.891 | 7 940.41 | 7 767.30 |
2 | 9.68 | 9.70 | 10.38 | 1 234.953 | 22.31 | 21.90 | 16.595 | 5 151.355 | 6 386.31 | 6 400.30 | |
3 | 11.33 | 11.50 | 12.33 | 1 725.332 | 15.35 | 15.27 | 10.785 | 2 388.328 | 4 113.66 | 3 887.70 | |
橙 Orange | 1 | 38.94 | 39.08 | 41.37 | — | — | — | — | — | 19 886.66 | 21 059.90 |
2 | 38.45 | 39.66 | 40.05 | — | — | — | — | — | 19 482.32 | 20 512.80 | |
3 | 39.83 | 39.40 | 39.69 | — | — | — | — | — | 19 731.26 | 20 310.30 |
重复 Repetition | 中间直径/mm Middle diameter | 长度/mm Length | 表面积/mm² Surface area | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
D3 | D4 | d3 | d4 | L0 上侧 | Li 内侧 | W/mm | T/mm | L/mm | Dg/mm | 公式计算 By formula | 扫描测量 By the ScanArm | |
1 | 35.39 | 33.30 | 35.72 | 34.63 | 209.00 | 151.67 | 34.34 | 35.18 | 180.33 | 59.93 | 11 281.57 | 15 316.51 |
2 | 37.40 | 34.72 | 34.42 | 32.82 | 209.67 | 152.33 | 36.06 | 33.62 | 181.00 | 60.07 | 11 334.81 | 15 623.83 |
3 | 37.81 | 36.53 | 34.39 | 32.50 | 205.67 | 145.00 | 37.17 | 33.45 | 175.33 | 59.94 | 11 285.76 | 14 474.23 |
Table 5 Surface area of banana calculated by formula method and the FARO scanning arm measurement
重复 Repetition | 中间直径/mm Middle diameter | 长度/mm Length | 表面积/mm² Surface area | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
D3 | D4 | d3 | d4 | L0 上侧 | Li 内侧 | W/mm | T/mm | L/mm | Dg/mm | 公式计算 By formula | 扫描测量 By the ScanArm | |
1 | 35.39 | 33.30 | 35.72 | 34.63 | 209.00 | 151.67 | 34.34 | 35.18 | 180.33 | 59.93 | 11 281.57 | 15 316.51 |
2 | 37.40 | 34.72 | 34.42 | 32.82 | 209.67 | 152.33 | 36.06 | 33.62 | 181.00 | 60.07 | 11 334.81 | 15 623.83 |
3 | 37.81 | 36.53 | 34.39 | 32.50 | 205.67 | 145.00 | 37.17 | 33.45 | 175.33 | 59.94 | 11 285.76 | 14 474.23 |
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