Skip to main content

A Parametric Method Applied to Phase Recovery from a Fringe Pattern Based on a Particle Swarm Optimization

  • Conference paper
Hybrid Artificial Intelligence Systems (HAIS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6076))

Included in the following conference series:

  • 1446 Accesses

Abstract

A parametric method to carry out fringe pattern demodulation by means of a particle swarm optimization 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 particle swarm is codified with the parameters of the function that estimates the phase. A fitness function is established to evaluate the particles, 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 swarm of particles evolves until a fitness average threshold is obtained. The method was able to successfully demodulate noisy fringe patterns and even a one-image closed-fringe pattern.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Martín, F., et al.: New advances in Automatic Reading of VLP’s. In: Proc. SPC 2000 (IASTED), Marbella, España, pp. 126–131 (2000)

    Google Scholar 

  2. Malacara, D., Servin, M., Malacara, Z.: Interferogram Analysis for Optical Testing. Marcel Dekker, New York (1998)

    Google Scholar 

  3. Malacara, D.: Optical Shop Testing. Wiley, New York (1992)

    Google Scholar 

  4. Creath, K.: In: Wolf, E. (ed.) Progress in Optics, vol. 26, p. 350. Elsevier, Amsterdam (1988)

    Google Scholar 

  5. Creath, K.: In: Robinson, D., Reid, G.T. (eds.) Interferogram Analysis, p. 94. IOP Publishing, London (1993)

    Google Scholar 

  6. Takeda, M., Ina, H., Kobayashi, S.: Fourier–transform method of fringe-pattern analysis for computer-based topography and interferometry. Journal of Optical Soc. of America 72, 156–160 (1981)

    Article  Google Scholar 

  7. Su, X., Chen, W.: Fourier transform profilometry: a review. Optics and Lasers in Engineering 35(5), 263–284 (2001)

    Article  MathSciNet  Google Scholar 

  8. Womack, K.H.: Interferometric phase measurement using spatial synchronous detection. Opt. Eng. 23, 391–395 (1984)

    Google Scholar 

  9. Servin, M., Rodriguez-Vera, R.: Two dimensional phase locked loop demodulation of interferograms. Journal of Modern Opt. 40, 2087–2094 (1993a)

    Article  Google Scholar 

  10. Ghiglia, D.C., Romero, L.A.: Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods. J. Opt. Soc. Am. A 11, 107–117 (1994)

    Article  Google Scholar 

  11. Su, X., Xue, L.: Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry. Opt. Eng. 40, 637–643 (2001)

    Article  Google Scholar 

  12. Servin, M., Cuevas, F.J., Malacara, D., Marroquin, J.L., Rodriguez-Vera, R.: Phase unwrapping through demodulation by use of the regularized phase-tracking technique. Appl. Optics 38(10), 1934–1941 (1999)

    Article  Google Scholar 

  13. Servin, M., Marroquin, J.L., Cuevas, F.J.: Demodulation of a single interferogram by use a two-dimensional regularized phase-tracking technique. Appl. Opt. 36, 4540–4548 (1997)

    Article  Google Scholar 

  14. Villa, J., Servin, M.: Robust profilometer for the measurement of 3-D object shapes based on a regularized phase tracker. Opt. Lasers Eng. 31, 279–288 (1999)

    Article  Google Scholar 

  15. Quiroga, J.A., Gonzalez-Cano, A.: With a Regularized Phase-Tracking Technique. Applied Optics 39(17), 2931–2940 (2000)

    Article  Google Scholar 

  16. Cuevas, F.J., Servin, M., Stavroudis, O.N., Rodriguez-Vera, R.: Multi-Layer neural network applied to phase and depth recovery from fringe patterns. Opt. Comm. 181, 239–259 (2000)

    Article  Google Scholar 

  17. Cuevas, F.J., Servin, M., Rodriguez-Vera, R.: Depth object recovery using radial Basis Functions. Opt. Comm. 163, 270 (1999)

    Article  Google Scholar 

  18. Servin, M., Marroquin, J.L., Cuevas, F.J.: J. Opt. Soc. Am. A 18, 689 (2001)

    Google Scholar 

  19. Kennedy, J., Eberhart, R.C.: Particle Swarm Optimization. In: Proc. IEEE Int. Conf. on Neural Networks, Perth, pp. 1942–1948 (1995a)

    Google Scholar 

  20. Kennedy, J.: The particle swarm: social adaptation of knowledge. In: IEEE International Conference on Evolutionary Computation, April 13-16, pp. 303–308 (1997)

    Google Scholar 

  21. Kennedy, J., Spears, W.M.: Matching Algorithms to Problems: An Experimental Test of the Particle Swarm and Some Genetic Algorithms on the Multimodal Problem Generator. In: Proceedings of the IEEE Int’l Conference on Evolutionary Computation, pp. 39–43 (1998)

    Google Scholar 

  22. Hadamard, J.: Sur les problems aux derivees partielles et leur signification physique, p. 13. Princeton University Bulletin, Princeton (1902)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jimenez, J.F., Cuevas, F.J., Sossa, J.H., Gomez, L.E. (2010). A Parametric Method Applied to Phase Recovery from a Fringe Pattern Based on a Particle Swarm Optimization. In: Graña Romay, M., Corchado, E., Garcia Sebastian, M.T. (eds) Hybrid Artificial Intelligence Systems. HAIS 2010. Lecture Notes in Computer Science(), vol 6076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13769-3_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13769-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13768-6

  • Online ISBN: 978-3-642-13769-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics