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- Generalized_map abstract "In mathematics, a generalized map is a topological model which allows one to represent and to handle subdivided objects. This model was defined starting from combinatorial maps in order to represent non-orientable and open subdivisions, which is not possible with combinatorial maps. The main advantage of generalized map is the homogeneity of one-to-one mappings in any dimensions, which simplifies definitions and algorithms comparing to combinatorial maps. For this reason, generalized maps are sometimes used instead of combinatorial maps, even to represent orientable closed partitions.Like combinatorial maps, generalized maps are used as efficient data structure in image representation and processing, in geometrical modeling, they are related to simplicial set and to combinatorial topology, and this is a boundary representation model (B-rep or BREP), i.e. it represents object by its boundaries.".
- Generalized_map wikiPageID "21116542".
- Generalized_map wikiPageLength "2370".
- Generalized_map wikiPageOutDegree "15".
- Generalized_map wikiPageRevisionID "545543314".
- Generalized_map wikiPageWikiLink Boundary_representation.
- Generalized_map wikiPageWikiLink Category:Algebraic_topology.
- Generalized_map wikiPageWikiLink Category:Computer_graphics_data_structures.
- Generalized_map wikiPageWikiLink Category:Topological_graph_theory.
- Generalized_map wikiPageWikiLink Combinatorial_map.
- Generalized_map wikiPageWikiLink Combinatorial_topology.
- Generalized_map wikiPageWikiLink Involution_(mathematics).
- Generalized_map wikiPageWikiLink Quad-edge.
- Generalized_map wikiPageWikiLink Quad-edge_data_structure.
- Generalized_map wikiPageWikiLink Rotation_system.
- Generalized_map wikiPageWikiLink Simplicial_set.
- Generalized_map wikiPageWikiLink Topology.
- Generalized_map wikiPageWikiLink Winged_edge.
- Generalized_map wikiPageWikiLinkText "Generalized map".
- Generalized_map wikiPageWikiLinkText "generalized map".
- Generalized_map hasPhotoCollection Generalized_map.
- Generalized_map subject Category:Algebraic_topology.
- Generalized_map subject Category:Computer_graphics_data_structures.
- Generalized_map subject Category:Topological_graph_theory.
- Generalized_map hypernym Model.
- Generalized_map type Person.
- Generalized_map type Structure.
- Generalized_map comment "In mathematics, a generalized map is a topological model which allows one to represent and to handle subdivided objects. This model was defined starting from combinatorial maps in order to represent non-orientable and open subdivisions, which is not possible with combinatorial maps. The main advantage of generalized map is the homogeneity of one-to-one mappings in any dimensions, which simplifies definitions and algorithms comparing to combinatorial maps.".
- Generalized_map label "Generalized map".
- Generalized_map sameAs Carte_généralisée.
- Generalized_map sameAs m.05b_rb4.
- Generalized_map sameAs Q2940520.
- Generalized_map sameAs Q2940520.
- Generalized_map wasDerivedFrom Generalized_map?oldid=545543314.
- Generalized_map isPrimaryTopicOf Generalized_map.