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Phase Unwrapping using Chebyshev Polynomials
De la Rosa Miranda, Enrique; González Ramírez, Efrén; Arceo Olague, José Guadalupe; Villa Hernández, José de Jesús; De la Rosa Vargas, José Ismael; Saucedo Anaya, Tonatiuh; Berriel Valdos, Luis Raúl; Escalante, Nivia
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.