关键词: 相位轮廓测量术, Goldstein, 包裹相位, 残差点, 枝切线, 质量引导, 调制度, 相位解包裹

Abstract:

Phase unwrapping is a key data processing step in phase measurement profilometry. In this study, a quality-guided branch-cut phase unwrapping algorithm is proposed based on the traditional Goldstein branch-cut method, aiming to obtain more accurate phase unwrapping results. The proposed algorithm uses the second-order differential of the wrapped phase as a supplement parameter for residual detection principle, and regards the mutation points in the second-order differential of the wrapped phase as non-polar residual points, and uses modulation as the criterion for residual point effectiveness judgment, regarding the residual points with low modulation as having higher effectiveness for local optimization to reduce the density of residual points. The optimized equivalent residual points are connected into branch-cut to block error propagation. The proposed algorithm calculates the quality of pixels using modulation to guide the order of phase unwrapping, with the unwrapping path circumventing the branch-cut and prioritizing high-quality pixels. Experimental results show that the proposed algorithm has higher accuracy and competitiveness in phase unwrapping results.

Key words: phase measurement profilometry, Goldstein, wrapped phase, residue, branch-cut, quality-guided, modulation, phase unwrapping