Title: BS-Patch: Constrained Bezier Parametric Patch
Authors: Skala, Václav
Citation: WSEAS Transactions on Mathematics. 2013, vol. 12, no. 5, p. 598-607.
Issue Date: 2013
Publisher: WSEAS
Document type: článek
URI: http://hdl.handle.net/11025/11329
ISSN: 2224-2880
Keywords: geometrické modelování;parametrické modelování;Béziérovy plochy
Keywords in different language: geometric modelling;parametric modelling;Bézier surfaces
Abstract: Bezier parametric patches are used in engineering practice quite often, especially in CAD/CAM systems oriented to mechanical design. In many cases quadrilateral meshes are used for tessellation of parameters domain. We propose a new modification of the Bezier cubic rectangular patch, the BS-patch, which is based on the requirement that diagonal curves must be of degree 3 instead of degree 6 as it is in the case of the Bezier patch. Theoretical derivation of conditions is presented and some experimental results as well. he BS-Patch is convenient for applications where for different tessellation of the u - υ domain different degrees of diagonal curves are not acceptable.
Rights: Original article published under copyright licence: © 2013 WSEAS
Appears in Collections:Články / Articles (KIV)

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