Phase unwrapping using a surface mesh with constraints

J. G. Arceo-Olague; L. R. Berriel-Valdos; E. de la Rosa Miranda; E. Gonzalez-Ramirez; C. A. Olvera-Olvera; Tonatiuh Saucedo Anaya; J. J. Villa-Hernández; I. de la Rosa Vargas

doi:10.1117/12.2063415

18 August 2014 Phase unwrapping using a surface mesh with constraints

J. G. Arceo-Olague, L. R. Berriel-Valdos, E. de la Rosa Miranda, E. Gonzalez-Ramirez, C. A. Olvera-Olvera, Tonatiuh Saucedo Anaya, J. J. Villa-Hernández, I. de la Rosa Vargas

Author Affiliations +

Proceedings Volume 9203, Interferometry XVII: Techniques and Analysis; 920313 (2014) https://doi.org/10.1117/12.2063415
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

Abstract

Phase unwrapping is an intermediate step for interferogram analysis. A smooth phase associated with an interferogram can be estimated using a curve mesh of functions. Each of these functions can be approximated by a linear combination of basis functions. In some cases constraints are needed to solve the phase unwrapping problem, for example, when estimated values never can be negative. In this work it is proposed a method for phase unwrapping using a set of functions in a mesh which are lineal combinations of Chebyshev polynomials. Results show good performance when applied to noisy and noiseless synthetic images.

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J. G. Arceo-Olague, L. R. Berriel-Valdos, E. de la Rosa Miranda, E. Gonzalez-Ramirez, C. A. Olvera-Olvera, Tonatiuh Saucedo Anaya, J. J. Villa-Hernández, and I. de la Rosa Vargas "Phase unwrapping using a surface mesh with constraints", Proc. SPIE 9203, Interferometry XVII: Techniques and Analysis, 920313 (18 August 2014); https://doi.org/10.1117/12.2063415

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