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4 November 1999Design of temporal phase unwrapping algorithms
Phase unwrapping is an inevitable process in modern phase- evaluation based fringe analysis because the arctangent functions used in phase extraction only return phase modulo 2(pi) . In recent years, several temporal phase unwrapping methods have been proposed, which use a couple of phase maps with different sensitivities for the unique determination of the unwrapped phase on a pixel-by-pixel basis. We have found that, however, some of them are not effectively designed, probably due to the lack of proper philosophy for guidance. In this paper, we present a generalized mathematical excess fraction method, which is more compete and general in nature and can be used to re-interpret those temporal phase unwrapping algorithms in a unifying perspective. It is also demonstrated that more efficient and flexible algorithms can be designed based on the principle of the generalized excess fraction method.
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Yudong Hao, Yang Zhao, Dacheng Li, "Design of temporal phase unwrapping algorithms," Proc. SPIE 3898, Photonic Systems and Applications in Defense and Manufacturing, (4 November 1999); https://doi.org/10.1117/12.368502