Instrumentation, Measurement, and Metrology

Phase error compensation for a 3-D shape measurement system based on the phase-shifting method

[+] Author Affiliations
Song Zhang

Harvard University, Department of Mathematics, Cambridge, Massachusetts 02138

Peisen S. Huang

State University of New York at Stony Brook, Department of Mechanical Engineering, Stony Brook, New York 11794

Opt. Eng. 46(6), 063601 (June 12, 2007). doi:10.1117/1.2746814
History: Received July 13, 2006; Revised November 27, 2006; Accepted December 06, 2006; Published June 12, 2007
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This paper describes a novel phase error compensation method for reducing the measurement error caused by nonsinusoidal waveforms in phase-shifting methods. For 3-D shape measurement systems using commercial video projectors, the nonsinusoidal waveform of the projected fringe patterns as a result of the nonlinear gamma of projectors causes significant phase measurement error and therefore shape measurement error. The proposed phase error compensation method is based on our finding that the phase error due to the nonsinusoidal waveform depends only on the nonlinearity of the projector’s gamma. Therefore, if the projector’s gamma is calibrated and the phase error due to the nonlinearity of the gamma is calculated, a lookup table that stores the phase error can be constructed for error compensation. Our experimental results demonstrate that by using the proposed method, the measurement error can be reduced by 10 times. In addition to phase error compensation, a similar method is also proposed to correct the nonsinusoidality of the fringe patterns for the purpose of generating a more accurate flat image of the object for texture mapping. While not relevant to applications in metrology, texture mapping is important for applications in computer vision and computer graphics.

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© 2007 Society of Photo-Optical Instrumentation Engineers

Citation

Song Zhang and Peisen S. Huang
"Phase error compensation for a 3-D shape measurement system based on the phase-shifting method", Opt. Eng. 46(6), 063601 (June 12, 2007). ; http://dx.doi.org/10.1117/1.2746814


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