Half-quadratic regularization for interferograms analysis

Mariano Rivera

doi:10.1117/12.674592

10 February 2006 Half-quadratic regularization for interferograms analysis

Mariano Rivera

Proceedings Volume 6046, Fifth Symposium Optics in Industry; 60461O (2006) https://doi.org/10.1117/12.674592
Event: Fifth Symposium Optics in Industry, 2005, Santiago De Queretaro, Mexico

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.

Citation Download Citation

Mariano Rivera "Half-quadratic regularization for interferograms analysis", Proc. SPIE 6046, Fifth Symposium Optics in Industry, 60461O (10 February 2006); https://doi.org/10.1117/12.674592

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