Computational Methods for Algebraic Spline Surfaces

Language: English

Published by Springer, Springer Vieweg Okt 2010, 2010

3642062334 / 9783642062339

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This item is printed on demand - Print on Demand Titel. Neuware -This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (¿COMPASS¿), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or ¿ in the case of ¿trimmed¿ surface patches ¿ a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 248 pp. Englisch.

Seller Inventory # 9783642062339

Title
Computational Methods for Algebraic Spline Surfaces
Author
Tor Dokken
Publisher
Springer, Springer Vieweg Okt 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642062334
ISBN 13
9783642062339
Item weight
382 grams
Dimensions
235x155x14 mm

buchversandmimpf2000

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