Shape measurement by unwrapping method using aliasing of Fourier spectrum

Yoshiharu Morimoto; Motoharu Fujigaki; Toshio Toyotake

doi:10.1117/12.621457

12 April 2005 Shape measurement by unwrapping method using aliasing of Fourier spectrum

Yoshiharu Morimoto, Motoharu Fujigaki, Toshio Toyotake

Proceedings Volume 5852, Third International Conference on Experimental Mechanics and Third Conference of the Asian Committee on Experimental Mechanics; (2005) https://doi.org/10.1117/12.621457
Event: Third International Conference on Experimental Mechanics and Third Conference of the Asian Committee on Experimental Mechanics, 2004, -, Singapore

Abstract

We previously proposed the integrated phase-shifting method for real-time shape measurement using grating projection method. However, the measurement range in this technique is not so wide, since phase-unwrapping has not been made. In this study, a grating synthesized two cosinusoidal waves of which the frequencies differ from each other, was used in order to perform unwrapping. If the frequencies are 3 and 4, in order to analyze frequencies and phases, the minimum sampling number of phase-shifted images is 8 according to the Whittaker-Shannon sampling theorem. We propose a new unwrapping method using only 5 phase-shifted images. The phase values are obtained from the aliased frequency components of the Fourier spectrum of the grating. The theory is shown and the effectiveness is confirmed by experiment.

Citation Download Citation

Yoshiharu Morimoto, Motoharu Fujigaki, and Toshio Toyotake "Shape measurement by unwrapping method using aliasing of Fourier spectrum", Proc. SPIE 5852, Third International Conference on Experimental Mechanics and Third Conference of the Asian Committee on Experimental Mechanics, (12 April 2005); https://doi.org/10.1117/12.621457

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