Chinese Optics, Volume. 17, Issue 2, 409(2024)
Scanning measurement method of small size parts without marks
Fig. 1. Flowchart of the scanning measurement method without marks
Fig. 5. Position and pose calibration of single rotation axis using standard ball fitting method
Fig. 6. Schematic diagram of multi-view point cloud rotation splicing
Fig. 7. The rotation transformation relation around any rotation axis in space
Fig. 9. (a) Physical setup and (b) its schematic diagram of tabletop CNC turntable optical measurement system
Fig. 11. Statistical results of absolute value error of standard ball mechanical splicing
Table 1. Camera calibration internal parameters
View tableView in ArticleTable 1. Camera calibration internal parameters
内参数 左相机 右相机 f/pixel 4666.2300 4666.5600 $ {x}_{0}/{\mathrm{pixel }}$ 47.6090 −14.4401 $ {y}_{0}/{\mathrm{pixel}} $ 10.2786 −14.5546 $ {K}_{1} $ −3.4003×10−9 −4.1734×10−9 $ {K}_{2} $ 1.1598×10−15 1.8279×10−15 $ {K}_{3} $ 1.8523×10−22 −2.2075×10−23 $ {P}_{1} $ −7.4732×10−8 1.5797×10−8 $ {P}_{2} $ 1.0306×10−8 −2.0569×10−9 $ {b}_{1} $ 1.2749×10−4 2.4643×10−6 $ {b}_{2} $ −2.2662×10−5 3.9066×10−5
Table 2. Camera calibration external parameters
View tableView in ArticleTable 2. Camera calibration external parameters
相机编号 ${{\boldsymbol{R}}_C}$ ${{\boldsymbol{T}}_C}$ 左相机 1 0 0 0 0 1 0 0 0 0 1 0 右相机 0.8992 −0.0098 0.4374 176.2110 0.0063 0.9999 0.0094 −0.1690 −0.4374 −0.0057 0.8992 −40.5125
Table 3. Comparison between standard ball fitting method and the proposed method
View tableView in ArticleTable 3. Comparison between standard ball fitting method and the proposed method
实验 编号 标准球拟合法[ 22 ]本文方法 夹角/ (°) 点积 夹角误差/ (°) 夹角/ (°) 点积 夹角误差/ (°) 1 89.938 0.001078 0.062 89.962 0.000666 0.038 2 89.923 0.001341 0.077 89.949 0.000883 0.051 3 89.934 0.001145 0.066 89.962 0.000658 0.038 4 89.939 0.001072 0.061 89.955 0.000786 0.045 5 89.940 0.001048 0.060 89.961 0.000686 0.039 6 89.929 0.001245 0.071 89.965 0.000604 0.035 7 89.938 0.001079 0.062 89.952 0.000838 0.048 8 89.938 0.001085 0.062 89.947 0.000922 0.053 9 89.939 0.001058 0.061 89.965 0.000606 0.035 10 89.940 0.001048 0.060 89.967 0.000583 0.033 平均 89.936 0.001120 0.064 89.959 0.000723 0.041
Table 4. Accuracy comparison of different point cloud splicing methods
(mm) View tableView in ArticleTable 4. Accuracy comparison of different point cloud splicing methods
(mm) 实验对象 特征拼接[ 13 ]标志点 拼接[ 9 -10 ]机械拼接 粗配准 精配准 注塑件 0.0116 0.0098 0.1135 0.0102 假牙 0.0124 0.0106 0.1213 0.0113 涡轮 0.6845 0.0129 0.1265 0.0123 平均误差 0.2362 0.0111 0.1204 0.0113
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Cai-li MO, Li-zhong WANG, Mao-dong REN, Jian-bo ZHAO, Sen WANG, Hao-jun ZHOU. Scanning measurement method of small size parts without marks[J]. Chinese Optics, 2024, 17(2): 409
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Received: Jun. 19, 2023
Accepted: --
Published Online: Apr. 15, 2024
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