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Rounding Voronoi diagrams / Olivier Devillers (1999)  

Public contenu dans Discrete Geometry for Computer Imagery, 8th International Conference, DGCI'99, Marne-la-Vallée, France, March 1999 / Gilles Bertrand (1999)   Titre : Rounding Voronoi diagrams Type de document : Article/Communication Auteurs : Olivier Devillers, Auteur ; Pierre-Marie Gandoin, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 1999 Collection : Lecture notes in Computer Science, ISSN 0302-9743 num. 1568 Conférence : DGCI 1999, 8th International Conference Discrete Geometry for Computer Imagery 17/03/1999 19/03/1999 Champs-sur-Marne [Paris Marne-la-Vallée] France Importance : pp 375 - 387 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Informatique [Termes IGN] diagramme de Voronoï [Termes IGN] géomètrie algorithmique Résumé : (auteur) Computational geometry classically assumes real-number arithmetic which does not exist in actual computers. A solution consists in using integer coordinates for data and exact arithmetic for computations. This approach implies that if the results of an algorithm are the input of another, these results must be rounded to match this hypothesis of integer coordinates. In this paper, we treat the case of two-dimensional Voronoi diagrams and are interested in rounding the Voronoi vertices to grid points while interesting properties of the Voronoi diagram are preserved. These properties are the planarity of the embedding and the convexity of the cells. We give a condition on the grid size to ensure that rounding to the nearest grid point preserves the properties. We also present heuristics to round vertices (not to the nearest grid point) and preserve these properties. Numéro de notice : C1999-076 Affiliation des auteurs : non IGN Thématique : INFORMATIQUE/MATHEMATIQUE Nature : Communication DOI : 10.1007/3-540-49126-0_29 En ligne : http://dx.doi.org/10.1007/3-540-49126-0_29 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99619