A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm

F. J. Cuevas; J. H. Sossa-Azuela; M. Servin

doi:10.1016/S0030-4018(02)01132-X

A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin

Centro de Investigación en Computación (CIC)

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

A paraetric method to carry out fringe pattern demodulation by means of a genetic algorithm is presented. The phase is approximated by the parametric estimation of an nth-grade polynomial so that no further unwrapping is required. On the other hand, a different parametric function can be chosen according to the prior knowledge of the phase behavior. A population of chromosomes is codified with the parameters of the function that estimates the phase. A fitness function is established to evaluate the chromosomes, which considers: (a) the closeness between the observed fringes and the recovered fringes, (b) the phase smoothness, (c) the prior knowledge of the object as its shape and size. The population of chromosomes evolves until a fitness average threshold is obtained. The method can demodulate noisy fringe patterns and even a one-image closed-fringe pattern successfully.

Original language	English
Pages (from-to)	213-223
Number of pages	11
Journal	Optics Communications
Volume	203
Issue number	3-6
DOIs	https://doi.org/10.1016/S0030-4018(02)01132-X
State	Published - 15 Mar 2002

Keywords

Fringe analysis
Genetic algorithms
Optical metrology
Phase retrieval

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10.1016/S0030-4018(02)01132-X

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title = "A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm",

abstract = "A paraetric method to carry out fringe pattern demodulation by means of a genetic algorithm is presented. The phase is approximated by the parametric estimation of an nth-grade polynomial so that no further unwrapping is required. On the other hand, a different parametric function can be chosen according to the prior knowledge of the phase behavior. A population of chromosomes is codified with the parameters of the function that estimates the phase. A fitness function is established to evaluate the chromosomes, which considers: (a) the closeness between the observed fringes and the recovered fringes, (b) the phase smoothness, (c) the prior knowledge of the object as its shape and size. The population of chromosomes evolves until a fitness average threshold is obtained. The method can demodulate noisy fringe patterns and even a one-image closed-fringe pattern successfully.",

keywords = "Fringe analysis, Genetic algorithms, Optical metrology, Phase retrieval",

author = "Cuevas, {F. J.} and Sossa-Azuela, {J. H.} and M. Servin",

note = "Funding Information: The authors would like to thank Dr. J.L. Marroquin, Dr. J.A. Quiroga, M.C. Carlos Perez, Raymundo Mendoza and Carlos Arriaga for the enlightening and useful discussions during the development of this work. We also acknowledge the support of the Consejo Nacional de Ciencia y Tecnolog{\'ı}a de M{\'e}xico, Centro de Investigaciones en Optica, A.C. and Centro de Investigaci{\'o}n en Computaci{\'o}n del Instituto Polit{\'e}cnico Nacional de M{\'e}xico.",

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AU - Cuevas, F. J.

AU - Sossa-Azuela, J. H.

AU - Servin, M.

N1 - Funding Information: The authors would like to thank Dr. J.L. Marroquin, Dr. J.A. Quiroga, M.C. Carlos Perez, Raymundo Mendoza and Carlos Arriaga for the enlightening and useful discussions during the development of this work. We also acknowledge the support of the Consejo Nacional de Ciencia y Tecnologı́a de México, Centro de Investigaciones en Optica, A.C. and Centro de Investigación en Computación del Instituto Politécnico Nacional de México.

PY - 2002/3/15

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N2 - A paraetric method to carry out fringe pattern demodulation by means of a genetic algorithm is presented. The phase is approximated by the parametric estimation of an nth-grade polynomial so that no further unwrapping is required. On the other hand, a different parametric function can be chosen according to the prior knowledge of the phase behavior. A population of chromosomes is codified with the parameters of the function that estimates the phase. A fitness function is established to evaluate the chromosomes, which considers: (a) the closeness between the observed fringes and the recovered fringes, (b) the phase smoothness, (c) the prior knowledge of the object as its shape and size. The population of chromosomes evolves until a fitness average threshold is obtained. The method can demodulate noisy fringe patterns and even a one-image closed-fringe pattern successfully.

AB - A paraetric method to carry out fringe pattern demodulation by means of a genetic algorithm is presented. The phase is approximated by the parametric estimation of an nth-grade polynomial so that no further unwrapping is required. On the other hand, a different parametric function can be chosen according to the prior knowledge of the phase behavior. A population of chromosomes is codified with the parameters of the function that estimates the phase. A fitness function is established to evaluate the chromosomes, which considers: (a) the closeness between the observed fringes and the recovered fringes, (b) the phase smoothness, (c) the prior knowledge of the object as its shape and size. The population of chromosomes evolves until a fitness average threshold is obtained. The method can demodulate noisy fringe patterns and even a one-image closed-fringe pattern successfully.

KW - Fringe analysis

KW - Genetic algorithms

KW - Optical metrology

KW - Phase retrieval

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DO - 10.1016/S0030-4018(02)01132-X

M3 - Artículo

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VL - 203

SP - 213

EP - 223

JO - Optics Communications

JF - Optics Communications

IS - 3-6

ER -

A parametric method applied to phase recovery from a fringe pattern based on a genetic algorithm

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Keywords

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