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Phase unwrapping for noisy phase map using localized compensator.

Satoshi Tomioka1, Shusuke Nishiyama

  • 1Faculty of Engineering, Hokkaido University, Sapporo, Hokkaido, Japan. tom@qe.eng.hokudai.ac.jp

Applied Optics
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Summary

This study introduces a new phase unwrapping algorithm for noisy images. The method accurately handles singular points without distorting regular areas, improving overall accuracy.

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Area of Science:

  • Image processing
  • Computational imaging
  • Signal processing

Background:

  • Noisy images present challenges in phase unwrapping due to numerous singular points.
  • Existing singularity-spreading methods can distort phase distribution in non-singular regions.
  • Localized distortions are problematic for accurate phase unwrapping.

Purpose of the Study:

  • To develop a novel phase unwrapping algorithm that overcomes limitations of current methods.
  • To improve phase unwrapping accuracy in noisy images, particularly when singularities are localized.
  • To avoid distortion of phase distribution in regular image areas.

Main Methods:

  • A new phase unwrapping algorithm is proposed.
  • It utilizes a localized compensator derived from clustering techniques.
  • Poisson's equation is solved for these localized areas to refine the phase distribution.

Main Results:

  • The proposed method effectively handles singular points in noisy images.
  • It avoids the distortion of phase distribution in regular areas.
  • Numerical results show improved accuracy compared to traditional singularity-spreading methods.

Conclusions:

  • The localized compensator approach offers a significant improvement in phase unwrapping.
  • This algorithm is particularly effective for images with localized singular points.
  • The method provides a more accurate and reliable phase unwrapping solution for noisy image data.