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Title: Automatic construction of control triangles for subdivided Powell-Sabin splines
Authors: Vanraes, Evelyne ×
Windmolders, Joris
Bultheel, Adhemar
Dierckx, Paul #
Issue Date: Sep-2004
Publisher: North-Holland
Series Title: Computer aided geometric design vol:21 issue:7 pages:671-682
Abstract: In this paper we present an algorithm for calculating the B-spline representation of a Powell-Sabin spline surface on a refinement of the given triangulation. The resulting subdivision scheme is a sqrt(3) scheme; a new vertex is added inside every original triangle. Applying the root3 scheme twice yields a triadic scheme, every original edge is split into three new edges, but special care is needed at the boundaries. The scheme is numerically stable and generally applicable, there are no restrictions on the initial triangulation.
URI: 
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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