Instrumentation, Measurement, and Metrology

Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection

[+] Author Affiliations
Xiaobo Chen

Shanghai Jiao Tong University, School of Mechanical Engineering, Shanghai Key Laboratory of Advanced Manufacturing Environment, 1212 Haoran Building, 1954 Huashan Road, Shanghai 200030, China

Juntong Xi

Shanghai Jiao Tong University, School of Mechanical Engineering, Shanghai Key Laboratory of Advanced Manufacturing Environment, 1212 Haoran Building, 1954 Huashan Road, Shanghai 200030, China and State Key Laboratory of Mechanical System and Vibration, 800 Dongchuan Road, Shanghai 200240, China

Ye Jin

Shanghai Jiao Tong University, School of Mechanical Engineering, Shanghai Key Laboratory of Advanced Manufacturing Environment, 1212 Haoran Building, 1954 Huashan Road, Shanghai 200030, China

Opt. Eng. 47(11), 113601 (November 20, 2008). doi:10.1117/1.3026075
History: Received April 02, 2008; Revised August 14, 2008; Accepted September 17, 2008; Published November 20, 2008
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A novel phase error compensation method is presented for the reduction of phase error and shape waviness for a three-dimensional shape measurement system based on gray-code and phase-shift light projection. The phase error is mainly caused by the nonsinusoidality of projected phase-shift patterns. According to the system's phase-distribution properties, the proposed method adopts smoothing spline approximation to precisely extract the specific system phase error from the reference phase. This specific system phase error can be used to compensate the object phase during measures. The experimental results show that this compensation can reduce the shape waviness by 70%. In addition the residual object phase error is reduced by a smoothing procedure based on smoothing spline approximation. This procedure shows a 65% reduction in the residual shape waviness.

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© 2008 Society of Photo-Optical Instrumentation Engineers

Citation

Xiaobo Chen ; Juntong Xi and Ye Jin
"Phase error compensation method using smoothing spline approximation for a three-dimensional shape measurement system based on gray-code and phase-shift light projection", Opt. Eng. 47(11), 113601 (November 20, 2008). ; http://dx.doi.org/10.1117/1.3026075


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