On the worst-case complexity of the silhouette of a polytope

Helmut Alt; Marc Glisse; Xavier Goaoc

inria-00099478, version 1

On the worst-case complexity of the silhouette of a polytope

Helmut Alt^a^, 1, Marc Glisse ()^b^, 2, Xavier Goaoc ()^c^, 2

15th Canadian Conference on Computational Geometry - CCCG 2003 (2003) 4 p

Résumé : We give conditions under which the worst-case size of the silhouette of a polytope is sub-linear. We provide examples with linear size silhouette if any of these conditions is relaxed. Our bounds are the first non-trivial bounds for the worst-case complexity of silhouettes.

a – FREIE UNIVERSITäT BERLIN
b – ENS PARIS - LORIA
c – UNIVERSITE NANCY 2
1 : Institute of Computer Science [Warszawa]
Polish Academy of Sciences
2 : ISA (INRIA Lorraine - LORIA)
INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)

inria-00099478, version 1
http://hal.inria.fr/inria-00099478
oai:hal.inria.fr:inria-00099478
Contributeur : Publications Loria <>
Soumis le : Mardi 26 Septembre 2006, 09:24:09
Dernière modification le : Jeudi 28 Septembre 2006, 15:22:46

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