Modern Geometric Computing for VisualizationToshiyasu Kunii, Yoshihisa Shinagawa |
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Page 142
... space is important for Hgram geometers . This is done by the mappings of points between the E " -source - space and the nD - Hgram - target - space . Although we cannot visualise hyperobjects in the E - space beyond 3 - dimensions , the ...
... space is important for Hgram geometers . This is done by the mappings of points between the E " -source - space and the nD - Hgram - target - space . Although we cannot visualise hyperobjects in the E - space beyond 3 - dimensions , the ...
Page 143
... Hgram - space built upon the Em - space as the primitives . Due to the use of superfices , HP ( m ) is unlikely to be confused with Hilbert's space . Definition 2 : Bijection - In n : 2 mapping , if every point in E - space is mapped to ...
... Hgram - space built upon the Em - space as the primitives . Due to the use of superfices , HP ( m ) is unlikely to be confused with Hilbert's space . Definition 2 : Bijection - In n : 2 mapping , if every point in E - space is mapped to ...
Page 144
... Hgram system of coordinates is based on the use of the Cartesian 2 - space or E ́ - space as its primitives . In Hgram - space , this is called the 2D - subplane or 2D - subspace . By HgraM convention , an nD - point is denoted by P ...
... Hgram system of coordinates is based on the use of the Cartesian 2 - space or E ́ - space as its primitives . In Hgram - space , this is called the 2D - subplane or 2D - subspace . By HgraM convention , an nD - point is denoted by P ...
Contents
Computer Geometry and Topological Classification | 3 |
R A Earnshaw | 16 |
Kergosien 31 | 54 |
Copyright | |
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Other editions - View all
Modern Geometric Computing for Visualization Tosiyasu L. Kunii,Yoshihisa Shinagawa Limited preview - 2012 |
Modern Geometric Computing for Visualization Tosiyasu L Kunii,Yoshihisa Shinagawa No preview available - 1992 |
Common terms and phrases
algorithm analysis applications Bézier Bézier curve called clusters complex Computer Graphics concave conjugate classification contour lines convex hull coordinates corresponding critical points crossing point curl value curvature regions curve defined described differential dimensional dp code edges engineering equations equivalent example extremal points Figure fractal geometric global Hamiltonian systems height function height relations hexagonal grid Hgram Hgram-space homotopy integrable Hamiltonian systems intersection Japan Kergosien kernel form knot diagram knot theory knotted surface Kunii linear loop manifold mapping mathematical mesh method Morse theory MTG sheet MTG-tree objects parallel parameter path Patrikalakis plane point geometry point set polygonal polynomial principal curvatures problem projection properties Reeb graph representation represented rotation saddle Scientific Visualization sequence shape Shinagawa singular points space stationary points structure Supercomputer switching pair symmetries techniques Theorem topological toroidal graph triangles University of Tokyo variables vector vertex vertices