Weighted minimum cost flow phase unwrapping algorithm based on second difference

Phase unwrapping is an important step for precise phase measurement in optical interferometric techniques.Due to the effect of noise and undersampled region,an accurate phase unwrapping has been quite difficult.A new phase unwrapping algorithm based on phase second difference and minimum cost flow algorithm is presented.Computer simulation shows:it can avoid local incomplete unwrapping problem that interlaced cuts produce closed regions in branch cut algorithm and reduce the errors caused by least square unwrapping algorithm.Comparing with the unweighted minimum cost flow algorithm,it also improves the phase unwrapping precision.The phase unwrapping result on real data in 3-D shape measurement verifies the validity of the algorithm.