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

A parametric 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.

[1]  David B. Fogel,et al.  Evolution-ary Computation 1: Basic Algorithms and Operators , 2000 .

[2]  J. Marroquín,et al.  Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique. , 1997, Applied optics.

[3]  Francisco J. Cuevas,et al.  Multi-layer neural network applied to phase and depth recovery from fringe patterns , 2000 .

[4]  D. Malacara.  Optical Shop Testing , 1978 .

[5]  Manuel Servin,et al.  Robust profilometer for the measurement of 3-D object shapes based on a regularized phase tracker , 1999 .

[6]  Manuel Servin,et al.  Two-dimensional Phase Locked Loop Demodulation of Interferograms , 1993 .

[7]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[8]  Francisco J. Cuevas,et al.  Depth object recovery using radial basis functions , 1999 .

[9]  M. Servin,et al.  Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms , 2001 .

[10]  Kenneth H. Womack,et al.  Interferometric Phase Measurement Using Spatial Synchronous Detection , 1983 .

[11]  Xianyu Su,et al.  Fourier transform profilometry:: a review , 2001 .

[12]  J A Quiroga,et al.  Separation of isoclinics and isochromatics from photoelastic data with a regularized phase-tracking technique. , 2000, Applied optics.

[13]  D. Malacara,et al.  Interferogram Analysis for Optical Testing , 2018 .

[14]  M Servin,et al.  Phase unwrapping through demodulation by use of the regularized phase-tracking technique. , 1999, Applied optics.

[15]  Xianyu Su,et al.  Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry , 2001 .

[16]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .