Partial Differential Equations for Morphological Operators

  • Frederic Guichard
  • Petros Maragos
  • Jean-Michel Morel
Part of the Lecture Notes in Statistics book series (LNS, volume 183)


Two of G. Matheron’s seminal contributions have been his development of size distributions (else called ‘granulometries’) and his kernel representation theory. The first deals with semigroups of multiscale openings and closings of binary images (shapes) by compact convex sets, a basic ingredient of which are the multiscale Minkowski dilations and erosions. The second deals with representing increasing and translation-invariant set operators as union of erosions by its kernel sets or as an intersection of dilations.


Viscosity Solution Lipschitz Function Scale Space Curve Evolution Entropy Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Frederic Guichard
    • 1
  • Petros Maragos
    • 2
  • Jean-Michel Morel
    • 3
  1. 1.DO LabsBoulogneFrance
  2. 2.School of ECENational Technical University of AthensAthensGreece
  3. 3.CMLAEcole Normale Superieure de CachanCachanFrance

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