Phase-shifting algorithm by use of Hough transform

Abstract

This paper presents a phase-shifting algorithm based on Hough transform for sinusoidal curves. Firstly, the background intensities of phase-shifting fringe patterns are removed by calculating their differences, thus we get purely sinusoidal intensity data for each pixel; and then we implement Hough transform to the intensity difference data of each pixel. As a result, the sinusoidal parameters, including phase and amplitude, of each pixel are extracted. The simulation and experimental results demonstrate that this algorithm enables eliminating the impacts of some gross errors such as saturation of camera and impulse noise in fringe patterns, and exactly recovering the phase map from fringe patterns.