Phase unwrapping using Chebyshev polynomials

E. de la Rosa Miranda; E. González-Ramírez; J. G. Arceo-Olague; J. J. Villa-Hernández; Ismael de la Rosa Vargas; Tonatiuh Saucedo-Anaya; L. R. Berriel-Valdos; N. Escalante

doi:10.1117/12.2025518

18 November 2013 Phase unwrapping using Chebyshev polynomials

E. de la Rosa Miranda, E. González-Ramírez, J. G. Arceo-Olague, J. J. Villa-Hernández, Ismael de la Rosa Vargas, Tonatiuh Saucedo-Anaya, L. R. Berriel-Valdos, N. Escalante

Author Affiliations +

Proceedings Volume 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications; 8785BA (2013) https://doi.org/10.1117/12.2025518
Event: 8th Ibero American Optics Meeting/11th Latin American Meeting on Optics, Lasers, and Applications, 2013, Porto, Portugal

Abstract

Phase unwrapping is an intermediate step for interferogram analysis. The 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. Chebyshev polynomials in addition to being a family of orthogonal polynomials can be defined recursively. In this work a method for phase unwrapping using Chebyshev polynomials is proposed. Results show good performance when applied to synthetic images without noise and also to synthetic images with noise.

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E. de la Rosa Miranda, E. González-Ramírez, J. G. Arceo-Olague, J. J. Villa-Hernández, Ismael de la Rosa Vargas, Tonatiuh Saucedo-Anaya, L. R. Berriel-Valdos, and N. Escalante "Phase unwrapping using Chebyshev polynomials", Proc. SPIE 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications, 8785BA (18 November 2013); https://doi.org/10.1117/12.2025518

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