Scale-Space Properties of the Multiscale Morphological Dilation-Erosion

  • Authors:
  • Paul T. Jackway;Mohamed Deriche

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1996

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Abstract

A multiscale morphological dilation-erosion smoothing operation and its associated scale-space expansion for multidimensional signals are proposed. Properties of this smoothing operation are developed and, in particular a scale-space monotonic property for signal extrema is demonstrated. Scale-space fingerprints from this approach have advantages over Gaussian scale-space fingerprints in that they are defined for negative values of the scale parameter; have monotonic properties in two and higher dimensions, do not cause features to be shifted by the smoothing, and allow efficient computation. The application of reduced multiscale dilation-erosion fingerprints to the surface matching of terrain is demonstrated.