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FSD-HSO Optimization Algorithm for Closed Fringes Interferogram Demodulation

Author

Listed:
  • Ulises H. Rodriguez-Marmolejo
  • Miguel Mora-Gonzalez
  • Jesus Muñoz-Maciel
  • Tania A. Ramirez-delreal

Abstract

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.

Suggested Citation

  • Ulises H. Rodriguez-Marmolejo & Miguel Mora-Gonzalez & Jesus Muñoz-Maciel & Tania A. Ramirez-delreal, 2016. "FSD-HSO Optimization Algorithm for Closed Fringes Interferogram Demodulation," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:1576735
    DOI: 10.1155/2016/1576735
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