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A Multimodal Wide-Field Fourier-Transform Raman Microscope
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Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition.

Sikun Li1, Xianyu Su, Wenjing Chen

  • 1Department of Opto-Electronics, Sichuan University, Chengdu 610064, China. lisk0409@126.com

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|May 5, 2009
PubMed
Summary

Empirical mode decomposition (EMD) simplifies Fourier transform profilometry by extracting the zero spectrum from a single fringe pattern. This advanced technique enhances fringe pattern analysis without needing multiple phase-shifted images.

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Area of Science:

  • Optical Metrology
  • Signal Processing
  • 3D Reconstruction

Background:

  • Fourier Transform Profilometry (FTP) is a widely used technique for 3D shape measurement.
  • Traditional FTP often requires capturing multiple fringe patterns with phase shifts, increasing complexity and potential for error.
  • Extracting the zero spectrum from a single deformed fringe pattern is challenging due to spectral overlap.

Purpose of the Study:

  • To introduce Empirical Mode Decomposition (EMD) as a novel method for Fourier Transform Profilometry.
  • To enable the extraction of the zero spectrum from a single fringe pattern, eliminating the need for phase-shifted images.
  • To enhance the efficiency and robustness of 3D shape measurement using profilometry.

Main Methods:

  • Empirical Mode Decomposition (EMD) is applied to the deformed fringe pattern.
  • The fringe pattern is adaptively decomposed into intrinsic mode functions (IMFs) from high to low frequency using a sifting process.
  • The zero spectrum is effectively separated from high-frequency components, followed by standard FTP demodulation.

Main Results:

  • Successful extraction of the zero spectrum from a single fringe pattern using EMD.
  • Demonstrated effective separation of the zero spectrum from high-frequency noise and other spectral components.
  • Experimental validation confirms the feasibility and effectiveness of the proposed EMD-based FTP method.

Conclusions:

  • Empirical Mode Decomposition offers a viable and efficient alternative for fringe analysis in Fourier Transform Profilometry.
  • The proposed method simplifies the experimental setup by requiring only a single fringe pattern.
  • This approach significantly advances single-shot 3D profilometry techniques.