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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 29, Iss. 5 — Mar. 1, 2004
  • pp: 504–506

Half-quadratic cost functions for phase unwrapping

Mariano Rivera and Jose L. Marroquin  »View Author Affiliations


Optics Letters, Vol. 29, Issue 5, pp. 504-506 (2004)
http://dx.doi.org/10.1364/OL.29.000504


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Abstract

We present a generic regularized formulation, based on robust half-quadratic regularization, for unwrapping noisy and discontinuous wrapped phase maps. Two cases are presented: the convex case and the nonconvex case. The unwrapped phase with the convex formulation is unique and robust to noise; however, the convex function solution deteriorates as a result of real discontinuities in phase maps. Therefore we also present a nonconvex formulation that, with a parameter continuation strategy, shows superior performance.

© 2004 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Citation
Mariano Rivera and Jose L. Marroquin, "Half-quadratic cost functions for phase unwrapping," Opt. Lett. 29, 504-506 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-5-504

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