A stereo matching algorithm of sub-pixel phases based on region segmentation is proposed to solve the problem of mismatching in boundary shadow region and depth-discontinuous region appeared in binocular projected grating measurement. The proposed algorithm uses a matching strategy for coarse-to-fine and obtains the coarse matching points under a standard epipolar line constraint
a phase constraint and other constraints. The algorithm divides the coarse matching results into a depth-continuous region without boundary shadow and a depth-discontinuous region with boundary shadow in accordance with the characteristics of the deformed fringe map and the phase unwrapping map. Sub-pixel matching points are then obtained by using the least square curve fitting method with windowed matching measure and the extrapolation method
respectively. Experimental results show that the proposed algorithm effectively eliminates the disparity smoothing transition in depth-discontinuous region. A comparison with the traditional point matching algorithm and traditional template matching algorithm shows that the proposed algorithm reduces mean relative error of heights from 62% to 69% and from 57% to 61%
respectively in depth-discontinuous region and increases the matching accuracy 3 to 4 times in depth-continuous region. The proposed algorithm effectively improves the accuracy of phase stereo matching
and is of great significance to improve the accuracy of 3D present measurement technique.
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