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A new zero-crossing-based discontinuity detector.

D Lee1, G W Wasilkowski, R Mehrotra

  • 1AT&T Bell Lab., Murray Hill, NJ.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1993
PubMed
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This study discusses general two-dimensional zero-crossing discontinuity detectors. An optimal detector maximizing signal-to-noise ratio was derived and tested on real images.

Area of Science:

  • Computer Vision
  • Image Processing
  • Signal Processing

Background:

  • Zero-crossing-based discontinuity detection is crucial for image analysis.
  • Existing methods like Marr-Hildreth and Difference of Gaussians are special cases of a broader class.

Purpose of the Study:

  • To discuss general two-dimensional zero-crossing-based discontinuity detectors.
  • To provide mathematical justification for this class of detectors.
  • To derive an optimal detector that maximizes signal-to-noise ratio.

Main Methods:

  • Discussion of general zero-crossing-based discontinuity detectors.
  • Mathematical derivation and justification of the detector class.
  • Optimization of the detector to maximize signal-to-noise ratio.

Related Experiment Videos

  • Experimental validation on real image data.
  • Main Results:

    • A general framework for two-dimensional zero-crossing discontinuity detectors is presented.
    • Mathematical foundations for this class of detectors are established.
    • An optimal detector design is derived.
    • Preliminary experimental results demonstrate performance on real images.

    Conclusions:

    • The presented framework unifies various existing discontinuity detectors.
    • The derived optimal detector offers improved signal-to-noise performance.
    • The findings have implications for robust edge detection in image processing.