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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 1576735, 11 pages
Research Article

FSD-HSO Optimization Algorithm for Closed Fringes Interferogram Demodulation

1Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, 47460 Lagos de Moreno, JAL, Mexico
2Departamento de Ingeniería Eléctrica y Electrónica, Instituto Tecnológico de Aguascalientes, 20256 Aguascalientes, AGS, Mexico
3Departamento de Posgrado e Investigación, Universidad Politécnica de Aguascalientes, 20342 Aguascalientes, AGS, Mexico

Received 1 December 2015; Revised 1 February 2016; Accepted 8 March 2016

Academic Editor: Hassan Askari

Copyright © 2016 Ulises H. Rodriguez-Marmolejo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Due to the physical nature of the interference phenomenon, extracting the phase of an interferogram is a known sinusoidal modulation problem. In order to solve this problem, a new hybrid mathematical optimization model for phase extraction is established. The combination of frequency guide sequential demodulation and harmony search optimization algorithms is used for demodulating closed fringes patterns in order to find the phase of interferogram applications. The proposed algorithm is tested in four sets of different synthetic interferograms, finding a range of average relative error in phase reconstructions of 0.14–0.39 rad. For reference, experimental results are compared with the genetic algorithm optimization technique, obtaining a reduction in the error up to 0.1448 rad. Finally, the proposed algorithm is compared with a very known demodulation algorithm, using a real interferogram, obtaining a relative error of 1.561 rad. Results are shown in patterns with complex fringes distribution.