Digital fringe image gamma modeling and new algorithm for phase error compensation

Sinusoidal phase error caused by gamma distortion is the dominant error source in phase measurement profilometry. Considering the gray saturation and defocus of captured image, we developed a new gamma model deduced from binomial and Fourier series expansion. The compensation model eliminates the phase error virtually and improves the applicability of gamma model error compensation. The experimental results show that the method is superior to traditional algorithms.