Irregular Pyramids with Combinatorial Maps

  • Luc Brun
  • Walter Kropatsch
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1876)


This paper presents a new formalism for irregular pyramids based on combinatorial maps. Such pyramid consists of a stack of successively reduced graph. Each smaller graph is deduced from the preceding one by a set of edges which have to be contracted or removed. In order to perform parallel contractions or removals, the set of edges to be contracted or removed has to verify some properties. Such a set of edges is called a Decimation Parameter. A combinatorial map encodes a planar graph thanks to two permutations encoding the edges and their orientation around the vertices. Combining the useful properties of both combinatorial maps and irregular pyramids offers a potential alternative for representing structures at multiple levels of abstraction.


Planar Graph Dual Graph Removal Operation Independent Vertex Contraction Operation 
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-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Luc Brun
    • 1
  • Walter Kropatsch
    • 2
  1. 1.LERII.U.T. Léonard de VinciReimsFrance
  2. 2.Institute for Computer-aided Automation Pattern Recognition and Image Processing GroupVienna Univ. of TechnologyViennaAustria

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