Describing 1-D Intensity Transitions with Gaussian Derivatives at the Resolutions Matching the Transition Widths

  • Authors:
  • W. L. van Warmerdam;V. R. Algazi

  • Affiliations:
  • Univ. of California, Davis;Univ. of California, Davis

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1989

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Abstract

A full description of image edges requires a complete characterization of their local intensity transitions, the spatial structure of those transitions, and a description of adjacent image regions. The authors propose, as a step toward this end, a 1-D algorithm for describing local intensity transitions by their Gaussian derivatives at a resolution where the support of the Gaussian smoothing matches their widths (blur). The algorithm estimates the transition width from the second derivative of 1-D Gaussian response zero-crossing slope and leads to a characterization of the transition with its first three derivatives at the resolution matching the width. The authors describe how this algorithm can be applied to images and give an example.