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Scale and translation invariant minimum average correlation energy filter.

Valentin Angelov Kostov1

  • 1Central Laboratory of Optical Storage and Processing of Information, Bulgarian Academy of Sciences, Sofia, Bulgaria. kostov.1@osu.edu

Applied Optics
|January 28, 2003
PubMed
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A novel scale and translation invariant correlation filter was developed using polar coordinates and minimum-average-correlation-energy optimization. This filter achieves high discrimination ability and works without image segmentation, demonstrating robust performance on interferometric images.

Area of Science:

  • Image processing
  • Pattern recognition
  • Optical engineering

Background:

  • Correlation filters are essential for pattern recognition.
  • Existing filters often lack invariance to scale and translation.
  • Sidelobe suppression and peak achievement are critical for filter performance.

Purpose of the Study:

  • To introduce a new scale and translation invariant correlation filter.
  • To generalize existing filter forms using polar coordinates.
  • To optimize the filter for sidelobe suppression and accurate peak detection.

Main Methods:

  • Developing a novel filter structure in polar coordinates.
  • Applying minimum-average-correlation-energy optimization.
  • Testing the filter on interferometric images without preprocessing.

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Main Results:

  • The filter demonstrated invariance to scale and translation.
  • Achieved correlation peaks across a wide scale range (0.3/4.0).
  • Exhibited strong discrimination ability with no false peaks and background operation.

Conclusions:

  • The proposed correlation filter offers significant advantages in scale and translation invariance.
  • The filter's performance on interferometric images validates its effectiveness.
  • The method is extendable for multi-reference image filtering.