## Phase unwrapping using an extrapolation–projection algorithm

JOSA A, Vol. 23, Issue 8, pp. 1846-1855 (2006)

http://dx.doi.org/10.1364/JOSAA.23.001846

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### Abstract

We explore an approach to the unwrapping of two-dimensional phase functions using a robust extrapolation–projection algorithm. Phase unwrapping is essential for imaging systems that construct the image from phase information. Unlike some existing methods where unwrapping is performed locally on a pixel-by-pixel basis, this work approaches the unwrapping problem from a global point of view. The unwrapping is done iteratively by a modification of the Gerchberg–Papoulis extrapolation algorithm, and the solution is refined by projecting onto the available global data at each iteration. Robustness of the algorithm is demonstrated through its performance in a noisy environment, and in comparison with a least-squares algorithm well-known in the literature.

© 2006 Optical Society of America

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(100.2000) Image processing : Digital image processing

(100.3010) Image processing : Image reconstruction techniques

(100.5010) Image processing : Pattern recognition

(110.2960) Imaging systems : Image analysis

**ToC Category:**

Image Processing

**History**

Original Manuscript: October 12, 2005

Revised Manuscript: January 12, 2006

Manuscript Accepted: January 27, 2006

**Citation**

Boris Marendic, Yongyi Yang, and Henry Stark, "Phase unwrapping using an extrapolation-projection algorithm," J. Opt. Soc. Am. A **23**, 1846-1855 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1846

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