Vector-Attribute Filters

  • Erik R. Urbach
  • Niek J. Boersma
  • Michael H.F. Wilkinson
Part of the Computational Imaging and Vision book series (CIVI, volume 30)


A variant of morphological attribute filters is developed, in which the attribute on which filtering is based, is no longer a scalar, as is usual, but a vector. This leads to new granulometries and associated pattern spectra. When the vector-attribute used is a shape descriptor, the resulting granulometries filter an image based on a shape or shape family instead of one or more scalar values.


Mathematical morphology connected filters multi-scale analysis granulometries pattern spectra vector-attributes shape filtering 


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Copyright information

© Springer 2005

Authors and Affiliations

  • Erik R. Urbach
    • 1
  • Niek J. Boersma
    • 1
  • Michael H.F. Wilkinson
    • 1
  1. 1.Institute for Mathematics and Computing ScienceUniversity of GroningenGroningenThe Netherlands

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