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- Polyhedral_terrain abstract "In computational geometry, a polyhedral terrain in three-dimensional Euclidean space is a polyhedral surface that intersects every line parallel to some particular line in a connected set (i.e., a point or a line segment) or the empty set. Without loss of generality, we may assume that the line in question is the z-axis of the Cartesian coordinate system. Then a polyhedral terrain is the image of a piecewise-linear function in x and y variables.The polyhedral terrain is a generalization of the two-dimensional geometric object, the monotone polygonal chain.As the name may suggest, a major application area of polyhedral terrains include geographic information systems to model real-world terrains.".
- Polyhedral_terrain thumbnail Piecewise_linear_function2D.svg?width=300.
- Polyhedral_terrain wikiPageID "42905501".
- Polyhedral_terrain wikiPageLength "1752".
- Polyhedral_terrain wikiPageOutDegree "13".
- Polyhedral_terrain wikiPageRevisionID "645878135".
- Polyhedral_terrain wikiPageWikiLink Category:Computational_geometry.
- Polyhedral_terrain wikiPageWikiLink Category:Polyhedra.
- Polyhedral_terrain wikiPageWikiLink Category:Surfaces.
- Polyhedral_terrain wikiPageWikiLink Computational_geometry.
- Polyhedral_terrain wikiPageWikiLink Euclidean_space.
- Polyhedral_terrain wikiPageWikiLink Geographic_information_system.
- Polyhedral_terrain wikiPageWikiLink Line_segment.
- Polyhedral_terrain wikiPageWikiLink Piecewise_linear_function.
- Polyhedral_terrain wikiPageWikiLink Polygonal_chain.
- Polyhedral_terrain wikiPageWikiLink Polyhedron.
- Polyhedral_terrain wikiPageWikiLink Terrain.
- Polyhedral_terrain wikiPageWikiLink Without_loss_of_generality.
- Polyhedral_terrain wikiPageWikiLink File:Piecewise_linear_function2D.svg.
- Polyhedral_terrain wikiPageWikiLinkText "Polyhedral terrain".
- Polyhedral_terrain wikiPageWikiLinkText "polyhedral terrain".
- Polyhedral_terrain wikiPageUsesTemplate Template:Geometry-stub.
- Polyhedral_terrain wikiPageUsesTemplate Template:Reflist.
- Polyhedral_terrain subject Category:Computational_geometry.
- Polyhedral_terrain subject Category:Polyhedra.
- Polyhedral_terrain subject Category:Surfaces.
- Polyhedral_terrain hypernym Surface.
- Polyhedral_terrain type Bone.
- Polyhedral_terrain comment "In computational geometry, a polyhedral terrain in three-dimensional Euclidean space is a polyhedral surface that intersects every line parallel to some particular line in a connected set (i.e., a point or a line segment) or the empty set. Without loss of generality, we may assume that the line in question is the z-axis of the Cartesian coordinate system.".
- Polyhedral_terrain label "Polyhedral terrain".
- Polyhedral_terrain sameAs Q17085878.
- Polyhedral_terrain sameAs m.010qj424.
- Polyhedral_terrain sameAs Q17085878.
- Polyhedral_terrain wasDerivedFrom Polyhedral_terrain?oldid=645878135.
- Polyhedral_terrain depiction Piecewise_linear_function2D.svg.
- Polyhedral_terrain isPrimaryTopicOf Polyhedral_terrain.