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Separation of complex fringe patterns using two-dimensional continuous wavelet transform.

Krzysztof Pokorski1, Krzysztof Patorski

  • 1Institute of Micromechanics and Photonics, Warsaw University of Technology, 8 Sw. A. Boboli Street, Warsaw 02-525, Poland. k.pokorski@mchtr.pw.edu.pl

Applied Optics
|December 25, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces an automatic method using wavelet transform to separately analyze multiple fringe patterns in one image. It offers an advantage over Fourier transform techniques for fringe analysis.

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Area of Science:

  • Optics and Photonics
  • Image Processing
  • Signal Analysis

Background:

  • Fringe patterns are crucial in optical metrology.
  • Analyzing superimposed fringe sets in a single image is challenging.
  • Existing methods often require spectral separation or user intervention.

Purpose of the Study:

  • To develop an automatic method for analyzing multiple fringe sets within a single fringe pattern.
  • To enable separate analysis of different fringe families without spectral separation.
  • To provide a robust alternative to existing fringe analysis techniques.

Main Methods:

  • Utilizing a two-dimensional continuous wavelet transform (2D-CWT).
  • Implementing a robust ridge extraction algorithm for fringe set isolation.
  • The method operates fully automatically without user input.

Main Results:

  • Successfully demonstrated the separate analysis of multiple fringe families from a single image.
  • Simulations confirmed superior performance compared to Fourier transform methods.
  • Experimental validation confirmed the method's practical applicability.

Conclusions:

  • The proposed wavelet transform-based method effectively analyzes superimposed fringe patterns.
  • It offers a fully automatic and robust solution for fringe analysis.
  • This technique advances optical metrology by simplifying complex fringe pattern interpretation.