New error-compensating seven-sample phase-shifting algorithm and application in 3D fringe projection profilometry

Hong Zhang; Michael J. Lalor; David R. Burton

doi:10.1117/12.312929

30 June 1998 New error-compensating seven-sample phase-shifting algorithm and application in 3D fringe projection profilometry

Hong Zhang, Michael J. Lalor, David R. Burton

Author Affiliations +

Proceedings Volume 3478, Laser Interferometry IX: Techniques and Analysis; (1998) https://doi.org/10.1117/12.312929
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

In this paper, a new 7-sample algorithm is derived based on the Surrel 6-sample algorithm by using the averaging technique. The Surrel 6-sample algorithm and the new 7- sample algorithm are analyzed using the Fourier description method and it is shown that the new 7-sample is more insensitive to linear phase-shift miscalibration than the Surrel 6-sample algorithm. By computer simulation, it is found that the linear phase-shift miscalibration produces the periodic phase error at three times the fringe frequency when the fringe signal contains a second-harmonic component. P-V phase error plots show that the new 7-sample algorithm is the least sensitive to the linear phase-shift miscalibration of the five phase-shifting algorithms considered in this paper when the fringe signal contains the second-harmonic component. A 3D fringe projection phase- shifting profilometry is constructed using a white light source and projecting a quasi-sinusoidal grating. The fringe pattern is captured by a CCD camera connected to a frame grabber in a PC computer. The new 7-sample algorithm is used and the experimental results are presented.

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Hong Zhang, Michael J. Lalor, and David R. Burton "New error-compensating seven-sample phase-shifting algorithm and application in 3D fringe projection profilometry", Proc. SPIE 3478, Laser Interferometry IX: Techniques and Analysis, (30 June 1998); https://doi.org/10.1117/12.312929

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