光学学报, 2018, 38 (11): 1112003, 网络出版: 2019-05-09
一种无需滤波的复合光栅投影的在线三维测量方法 
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An On-Line Three-Dimensional Measurement Method of Composite Grating Projection Without Filtering
图 & 表
图 2. 仿真原始数据。(a)被测物体; (b)反射率分布; (c)第一帧变形条纹图I1(x,y); (d)第二帧变形条纹图I2(x,y)
Fig. 2. Original simulation data. (a) Measured object; (b) reflectance distribution; (c) the first deformed pattern I1(x,y); (d) the second deformed pattern I2(x,y)
图 3. 仿真调制度图像提取。(a)复合双频变形条纹图频谱分布; (b)滤波后高频条纹+1级频谱区域; (c)调制度图像
Fig. 3. Extraction of the modulation patterns in the simulation. (a)Spectrum distribution of the composite dual-frequency deformed pattern; (b) area of the positive first-level frequency spectrum after filtering; (c) modulation pattern
图 4. 仿真像素匹配后直接进行相位计算。(a)匹配后第一帧复合双频变形条纹图I'1(x,y);(b)匹配后第二帧复合双频变形条纹图I'2(x,y); (c)重构的被测物体; (d)误差分布; (e)被测物体与重构被测物体第250行的截图; (f)被测物体与重构被测物体第250列的截图
Fig. 4. Phase calculation directly after pixel matching in the simulation. (a) The first composite dual-frequency deformed pattern I'1(x,y) after pixel matching; (b) the second composite dual-frequency deformed pattern I'2(x,y) after pixel matching; (c) reconstructed object; (d) error distribution; (e) section cross at x=250 for the measured object and the reconstructed object; (f) section cross at y=250 for the measured object and the reconstructed object
图 5. 仿真滤出低频分量相位计算。(a)匹配后复合变形条纹图频谱分布; (b)滤波后低频分量频谱区域; (c)第一帧低频分量变形条纹图I'FL1(x,y); (d)第二帧低频分量变形条纹图I'FL2(x,y); (e)重构的被测物体; (f)误差分布; (g)被测物体与重构被测物体第250行的截图; (h)被测物体与重构被测物体第250列的截图
Fig. 5. Phase calculation after filtering out the low-frequency component in the simulation. (a) Frequency spectrum distribution of the composite deformed pattern after pixel matching; (b) frequency spectrum area of the low-frequency component after filtering; (c) the first deformed pattern of the low-frequency component I'FL1(x,y); (d) the second deformed pattern of the low-frequency component I'FL2(x,y); (e) reconstructed object; (f) error distribution; (g) section cross at x=250 for the measured obje
图 6. 被测物体及变形条纹图。(a)被测物体; (b)第一帧变形条纹图I1(x,y); (c)第二帧变形条纹图I2(x,y)
Fig. 6. Measured object and deformed patterns. (a) Measured object; (b) the first deformed pattern I1(x,y); (c) the second deformed pattern I2(x,y)
图 7. 频谱分布中的被测物体和调制度图像。(a)复合双频变形条纹图频谱分布中的被测物体; (b)滤波后高频条纹+1级频谱区域; (c)调制度图像
Fig. 7. Measured object in the spectral distribution and the deformed patterns. (a) Measured object in the spectral distribution of the composite dual-frequency deformed pattern; (b) positive first-level frequency spectrum area of the high-frequency fringe after filtering; (c) modulation pattern
图 8. 被测物体的三维重构。(a)匹配后第一帧复合双频变形条纹图I'1(x,y); (b)匹配后第二帧复合双频变形条纹图I'2(x,y); (c)重构的被测物体; (d)本文方法和滤波方法重构被测物体第340列的截图
Fig. 8. 3D reconstruction of the measured object. (a) The first composite dual-frequency deformed pattern I'1(x,y) after pixel matching; (b) the second composite dual-frequency deformed pattern I'2(x,y) after pixel matching; (c) reconstructed object; (d) cross section at y=340 for the reconstructed object by the proposed method and the filtering method
表 1高度为3,5,10 mm平面的测量误差
Table1. Measurement errors of planes with height of 3, 5 and 10 mm
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彭旷, 曹益平, 武迎春. 一种无需滤波的复合光栅投影的在线三维测量方法[J]. 光学学报, 2018, 38(11): 1112003. Kuang Peng, Yiping Cao, Yingchun Wu. An On-Line Three-Dimensional Measurement Method of Composite Grating Projection Without Filtering[J]. Acta Optica Sinica, 2018, 38(11): 1112003.
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