Openings Can Introduce Zero Crossings in Boundary Curvature

  • Authors:
  • P. F. M. Nacken

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1994

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Abstract

Chen and Yan (1989) presented a result on zero crossings of boundary curvature under morphological openings. In this correspondence, it is shown, by means of a counter example, that this result is not correct. An analysis of the counter example shows where Chen and Yan go wrong and determines a class of images for which their theorem holds.