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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 2 — Jan. 10, 2006
  • pp: 353–359

Second-order robust regularization cost function for detecting and reconstructing phase discontinuities

Carlos Galvan and Mariano Rivera  »View Author Affiliations

Applied Optics, Vol. 45, Issue 2, pp. 353-359 (2006)

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We propose a robust method for computing discontinuous phase maps from a fringe pattern with carrier frequency. Our algorithm is based on the minimization of an edge-preserving regularized cost function, specifically, on a robust regularized potential that uses a paradigm called the plate with adaptive rest condition, i.e., a second-order edge-preserving potential. Given that the proposed cost function is not convex, our method uses as its initial point an overly smoothed phase computed with a standard fringe analysis method and then reconstructs the phase discontinuities. Although the method is general purpose, it is introduced in the context of interferometric gauge-block calibration. The performance of the algorithm is demonstrated by numerical experiments with both synthetic and real data.

© 2006 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

Carlos Galvan and Mariano Rivera, "Second-order robust regularization cost function for detecting and reconstructing phase discontinuities," Appl. Opt. 45, 353-359 (2006)

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