Convex Structuring Element Decomposition for Single Scan Binary Mathematical Morphology

  • Nicolas Normand
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2886)


This paper presents a structuring element decomposition method and a corresponding morphological erosion algorithm able to compute the binary erosion of an image using a single regular pass whatever the size of the convex structuring element.

Similarly to classical dilation-based methods [1], the proposed decomposition is iterative and builds a growing set of structuring elements. The novelty consists in using the set union instead of the Minkowski sum as the elementary structuring element construction operator. At each step of the construction, already-built elements can be joined together in any combination of translations and set unions. There is no restrictions on the shape of the structuring element that can be built. Arbitrary shape decompositions can be obtained with existing genetic algorithms [2] with an homogeneous construction method. This paper, however, addresses the problem of convex shape decomposition with a deterministic method.


Generalize Distance Mathematical Morphology Construction Scheme Disk Size Pattern Recognition Letter 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Nicolas Normand
    • 1
  1. 1.IRCCyN-IVC (CNRS UMR 6597), École polytechnique de l’université de Nantes, La ChantrerieNantes Cedex 3France

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