DocumentCode
2174159
Title
Dyadic and √3-subdivision for uniform Powell-Sabin splines
Author
Vanraes, Evelyne ; Windmolders, Joris ; Bultheel, Adhemar ; Dierckx, Paul
Author_Institution
Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium
fYear
2002
fDate
2002
Firstpage
639
Lastpage
643
Abstract
We give two different possibilities for subdivision of Powell-Sabin spline surfaces on uniform triangulations. In the first case, dyadic subdivision, a new vertex is introduced on each edge between two old vertices. In the second case, √3-subdivision, a new vertex is introduced in the center of each triangle of the triangulation. We give subdivision rules to find the new control points of the refined surface for both cases.
Keywords
CAD; computational geometry; splines (mathematics); √3-subdivision; Powell-Sabin spline surfaces; control points; dyadic subdivision; refined surface; uniform triangulations; vertex; Character generation; Computer science; Displays; Packaging; Piecewise linear techniques; Polynomials; Refining; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Visualisation, 2002. Proceedings. Sixth International Conference on
ISSN
1093-9547
Print_ISBN
0-7695-1656-4
Type
conf
DOI
10.1109/IV.2002.1028842
Filename
1028842
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