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Proceedings Paper

Phase unwrapping using Chebyshev polynomials
Author(s): 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
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Paper 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.

Paper Details

Date Published: 18 November 2013
PDF: 6 pages
Proc. SPIE 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications, 8785BA (18 November 2013); doi: 10.1117/12.2025518
Show Author Affiliations
E. de la Rosa Miranda, Univ. Autónoma de Zacatecas (Mexico)
E. González-Ramírez, Univ. Autónoma de Zacatecas (Mexico)
J. G. Arceo-Olague, Univ. Autónoma de Zacatecas (Mexico)
J. J. Villa-Hernández, Univ. Autónoma de Zacatecas (Mexico)
Ismael de la Rosa Vargas, Univ. Autónoma de Zacatecas (Mexico)
Tonatiuh Saucedo-Anaya, Univ. Autónoma de Zacatecas (Mexico)
L. R. Berriel-Valdos, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
N. Escalante, Univ. Autónoma de Zacatecas (Mexico)

Published in SPIE Proceedings Vol. 8785:
8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications
Manuel Filipe P. C. Martins Costa, Editor(s)

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