Fringe pattern information retrieval using wavelets

Cesar A. Sciammarella; Caterina Patimo; Pasquale D. Manicone; Luciano Lamberti

doi:10.1117/12.616683

17 September 2005 Fringe pattern information retrieval using wavelets

Cesar A. Sciammarella, Caterina Patimo, Pasquale D. Manicone, Luciano Lamberti

Proceedings Volume 5914, Wavelets XI; 59140A (2005) https://doi.org/10.1117/12.616683
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

Two-dimensional phase modulation is currently the basic model used in the interpretation of fringe patterns that contain displacement information, moire, holographic interferometry, speckle techniques. Another way to look to these two-dimensional signals is to consider them as frequency modulated signals. This alternative interpretation has practical implications similar to those that exist in radio engineering for handling frequency modulated signals. Utilizing this model it is possible to obtain frequency information by using the energy approach introduced by Ville in 1944. A natural complementary tool of this process is the wavelet methodology. The use of wavelet makes it possible to obtain the local values of the frequency in a one or two dimensional domain without the need of previous phase retrieval and differentiation. Furthermore from the properties of wavelets it is also possible to obtain at the same time the phase of the signal with the advantage of a better noise removal capabilities and the possibility of developing simpler algorithms for phase unwrapping due to the availability of the derivative of the phase.

Citation Download Citation

Cesar A. Sciammarella, Caterina Patimo, Pasquale D. Manicone, and Luciano Lamberti "Fringe pattern information retrieval using wavelets", Proc. SPIE 5914, Wavelets XI, 59140A (17 September 2005); https://doi.org/10.1117/12.616683

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