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Surface Analysis using Arithmetic Operations on Bézier Surfaces

  • This paper describes some new algorithms for the accurate calculation of surface properties. In the first part an arithmetic on Bézier surfaces is introduced. Formulas are given, which determine the Bézier points and weights of the resulting surface from the points and weights of the operand surfaces. An application of the arithmetic operations to the surface interrogation methods are described in the second part. It turns out, that the quality analysis can be reduced to a few numerical stable operations. Finally the advantages and disadvantages of this method are discussed.

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Metadaten
Author:Thomas Schreiber
URN:urn:nbn:de:hbz:386-kluedo-50080
Series (Serial Number):Interner Bericht des Fachbereich Informatik (233)
Document Type:Report
Language of publication:English
Date of Publication (online):2017/11/02
Year of first Publication:1993
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/11/02
Page Number:22
Faculties / Organisational entities:Kaiserslautern - Fachbereich Informatik
DDC-Cassification:0 Allgemeines, Informatik, Informationswissenschaft / 004 Informatik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0)