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Windowed Fourier transform for fringe pattern analysis.

Qian Kemao1

  • 1School of Computer Engineering, Nanyang Technological University, Singapore 639798. mkmqian@ntu.edu.sg

Applied Optics
|May 8, 2004
PubMed
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This study introduces novel time-frequency analysis methods for optical fringe pattern demodulation. These techniques effectively extract phase and phase derivatives, crucial for metrology applications.

Area of Science:

  • Optical Metrology
  • Signal Processing

Background:

  • Fringe patterns are essential in optical metrology for parameter extraction.
  • Demodulation of these patterns is critical for accurate measurements.
  • Existing methods may have limitations in phase and phase derivative determination.

Purpose of the Study:

  • To develop and present effective methods for fringe pattern demodulation.
  • To extract phase and phase derivatives from fringe patterns using time-frequency analysis.
  • To demonstrate the utility of these methods for both phase-shifted and single carrier fringe patterns.

Main Methods:

  • Utilizing time-frequency analysis, specifically the windowed Fourier transform.
  • Developing two distinct approaches: fringe pattern filtering and best-match with generated elements.

Related Experiment Videos

  • Focusing on the extraction of phase and phase derivatives.

    • Main Results:

    • Successfully extracted phase and phase derivatives from fringe patterns.
    • Demonstrated the effectiveness of the proposed filtering and best-match methods.
    • Validated the approaches using both phase-shifted and single carrier fringe patterns.

    Conclusions:

    • The proposed time-frequency analysis methods offer an effective solution for fringe demodulation.
    • These techniques provide accurate extraction of phase and phase derivatives in optical metrology.
    • The presented principles and examples confirm the method's practical applicability.