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Bézier Representation of Trim Curves

  • The composition of Bézier curves and tensor product Bézier surfaces, polynomial as well as rational, is applied to exactly and explicitely represent trim curves of tensor product Bézier surfaces. Trimming curves are assumed to be defined as Bézier curves in surface parameter domain. A Bézier spline approximation of lower polynomial degree is built up as weil which is based on the exact trim curve representation in coordinate space.

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Metadaten
Author:Dieter Lasser, Georges-Pierre Bonneau
URN:urn:nbn:de:hbz:386-kluedo-49829
Series (Serial Number):Interner Bericht des Fachbereich Informatik (235)
Document Type:Report
Language of publication:English
Date of Publication (online):2017/10/27
Year of first Publication:1993
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/27
Page Number:16
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)