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Proceedings Paper

Half-quadratic regularization for interferograms analysis
Author(s): Mariano Rivera
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Paper Abstract

We present recent applications of robust half-quadratic regularization for solving common problems in interferogram analysis. Specifically, we review half-quadratic cost functions for: phase unwrapping noisy and discontinuous wrapped phase maps, phase refinement process for computed coarse phases, as those obtained from partial-field patterns with a full-field method for open fringes analysis, for phase retrieval from closed-fringe interferograms and phase denoising. The cases of convex and the non-convex cost functions are analyzed: The convex formulation produces unique and noise-free solutions, but such solution are deteriorated by real discontinuities in phase maps; therefore, we also present a non-convex formulation which, with an extra computational cost, shows a superior performance.

Paper Details

Date Published: 10 February 2006
PDF: 8 pages
Proc. SPIE 6046, Fifth Symposium Optics in Industry, 60461O (10 February 2006); doi: 10.1117/12.674592
Show Author Affiliations
Mariano Rivera, Ctr. de Investigación en Matemáticas A. C. (Mexico)

Published in SPIE Proceedings Vol. 6046:
Fifth Symposium Optics in Industry
Eric Rosas; Rocío Cardoso; Juan C. Bermudez; Oracio Barbosa-García, Editor(s)

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