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Electronic Notes in Discrete Mathematics 31 (2008) 287-292
Computing Canonical Polygonal Schemata with Generalized Maps
Guillaume Damiand ( ) 1, Sylvie Alayrangues 2
For the Image et Son collaboration(s)
(2008-08)

This paper shows that a well-known algorithm proposed to compute the canonical polygonal schema of a surface can be transferred onto a 2-dimensional generalized map. We show that transformation rules on polygonal schemata can be achieved in O(1) with generalized maps, which can help optimizing existing algorithms.
1:  Laboratoire Bordelais de Recherche en Informatique (LaBRI)
CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II
2:  XLIM (XLIM)
CNRS : UMR6172 – Université de Limoges
SIC
Computer Science/Data Structures and Algorithms

Computer Science/Computational Geometry
canonical polygonal schema – generalized map – topological invariant
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