## Proposed Algorithm for Phase Unwrapping

Applied Optics, Vol. 41, Issue 35, pp. 7422-7428 (2002)

http://dx.doi.org/10.1364/AO.41.007422

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### Abstract

A new, to our knowledge, two-dimensional phase-unwrapping algorithm is proposed. The algorithm, which is based on the global continuity of physical information (e.g. the three-dimensional surface profile of an object) being measured, uses the principle of least-phase difference to rectify errors caused by an erroneous 2π-phase jump in the initial unwrapped phase map obtained by the conventional phase-unwrapping method. Experimental results show that the proposed algorithm works well on a phase map that contains error sources, such as noises, phase discontinuity of more than π, and insufficient sampling. Moreover, the algorithm is most suitable for unwrapping a phase map generated during shape measurement with a step-change surface on the test object, which is usually a critical problem in shape measurement.

© 2002 Optical Society of America

**OCIS Codes**

(100.0100) Image processing : Image processing

(100.2650) Image processing : Fringe analysis

**Citation**

Xiao Yuan He, Xin Kang, Cho Jui Tay, Chenggen Quan, and Huai Min Shang, "Proposed Algorithm for Phase Unwrapping," Appl. Opt. **41**, 7422-7428 (2002)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-35-7422

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