Title: Weight control for modelling with NURPS surfaces
Authors: Speleers, Hendrik ×
Dierckx, Paul
Vandewalle, Stefan #
Issue Date: Apr-2007
Publisher: North-Holland
Series Title: Computer Aided Geometric Design vol:24 issue:3 pages:179-186
Abstract: NURPS surfaces are the rational extension of Powell-Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for rational Bézier curves to NURPS surfaces, resulting in weight points and weight triangles. They admit a local weight control in a geometrically intuitive way.
ISSN: 0167-8396
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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