Gradient watersheds in morphological scale-space

  • Authors:
  • P. T. Jackway

  • Affiliations:
  • Res. Centre for Sensor Signal & Inf. Process., Queensland Univ., Brisbane, Qld.

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 1996

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Abstract

After introducing several results relating to the modification of the homotopy of gradient functions based on extrema in the base image and building on earlier results in morphological scale-space, we introduce a scale-space monotonicity theorem for regions of an image defined by watersheds of a gradient function modified to retain only the local minima or maxima of its smoothed parent image. We then illustrate the theorem with an example of the scale-space extraction of texture features from the nuclei of cervical cells