Second order edge-preserving regularized functional for recovering discontinuous phase maps in fringe patterns with carrier

Carlos A. Galvan; Mariano Rivera

doi:10.1117/12.484529

29 July 2002 Second order edge-preserving regularized functional for recovering discontinuous phase maps in fringe patterns with carrier

Carlos A. Galvan, Mariano Rivera

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Proceedings Volume 4900, Seventh International Symposium on Laser Metrology Applied to Science, Industry, and Everyday Life; (2002) https://doi.org/10.1117/12.484529
Event: Seventh International Symposium on Laser Metrology Applied to Science, Industry, and Everyday Life, 2002, Novosibirsk, Russian Federation

Abstract

This paper proposes a robust method for computing discontinuous phase maps. The proposed algorithm is based on the minimization of a edge-preserving regularized cost functional. We use a robust regularized potential based on the paradigm of the Plate with Adaptive Rest Condition (PARC). Our algorithm computes the phase from fringe patterns with discontinuities on the fringe pattern due to steps on the phase and changes on the illumination component. The method is presented in the context of calibrating Gauge Blocks by interferometric method. The performance of the method is demonstrated by numerical experiments on both synthetic and real data.

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Carlos A. Galvan and Mariano Rivera "Second order edge-preserving regularized functional for recovering discontinuous phase maps in fringe patterns with carrier", Proc. SPIE 4900, Seventh International Symposium on Laser Metrology Applied to Science, Industry, and Everyday Life, (29 July 2002); https://doi.org/10.1117/12.484529

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KEYWORDS

Fringe analysis

Calibration

Interferometers

Data modeling

Interferometry

Metrology

Standards development

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