Shape-Only Granulometries and Gray-Scale Shape Filters

E.R. Urbach, M.H.F. Wilkinson

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Multiscale methods which provide a decomposition of an image based on scale have many uses in image analysis. One class of such methods from mathematical morphology is based on size distributions or granulometries. In this paper a different type of image decomposition based on shape but not scale is proposed. Called a shape granulometry or shape distribution, it is built from a family of morphological thinnings, rather than openings as in the case of size distributions. An implementation based on scale invariant attribute thinnings is presented, and an example of an application is shown.
Original languageEnglish
Title of host publicationEPRINTS-BOOK-TITLE
PublisherUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Number of pages10
Publication statusPublished - 2002


  • attribute thinnings
  • granulometries
  • connected filters
  • multi-scale analysis

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