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A Robust Skeletonization Method for High-Density Fringe Patterns in Holographic Interferometry Based on Parametric

Sergey Lychev1, Alexander Digilov1

  • 1Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, Russia.

Journal of Imaging
|February 26, 2026
PubMed
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This study introduces a new method for analyzing holographic interferometry fringe patterns, improving accuracy and reliability in displacement field measurements even with significant speckle noise. The technique enhances fringe contour analysis for better scientific data.

Area of Science:

  • Optical Metrology
  • Experimental Mechanics
  • Image Analysis

Background:

  • Holographic interferometry is crucial for precise displacement measurement.
  • Speckle noise in interferograms complicates fringe pattern analysis.
  • Conventional skeletonization methods struggle with noisy, high-density fringe patterns.

Purpose of the Study:

  • To develop a novel skeletonization procedure for robust fringe analysis in holographic interferometry.
  • To overcome limitations of traditional methods in handling speckle noise and preserving fringe topology.
  • To achieve sub-pixel accuracy in displacement field measurement without phase extraction.

Main Methods:

  • Physics-informed parametric subspace representation (e.g., Fourier-based contours) for topology preservation.
Keywords:
displacement field reconstructionfringe skeletonizationholographic interferometryparametric modelingspeckle noisestrip integration

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  • Robust strip integration functional using Gaussian-weighted intensity averaging for noise suppression.
  • Continuous bicubic interpolation within a recursive quasi-optimization framework for sub-pixel accuracy.
  • Main Results:

    • Quantitative validation on synthetic data shows significantly lower error compared to baseline techniques.
    • Successful processing of a real interferogram with over 100 fringes.
    • Precise displacement field reconstruction closely matching theoretical models.

    Conclusions:

    • The proposed skeletonization procedure offers a reliable tool for analyzing challenging interferograms.
    • It effectively addresses topology preservation, noise robustness, and sub-pixel accuracy.
    • Enables accurate displacement field reconstruction where traditional methods fail.