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Sixth International Conference on Information Visualisation (IV'02)
Dyadic and \sqrt 3 — subdivision for Uniform Powell — Sabin Splines
London, England
July 10-July 12
ISBN: 0-7695-1656-4
Evelyne Vanraes, KU Leuven
Joris Windmolders, KU Leuven
Adhemar Bultheel, KU Leuven
Paul Dierckx, KU Leuven
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, \sqrt 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.
Citation:
Evelyne Vanraes, Joris Windmolders, Adhemar Bultheel, Paul Dierckx, "Dyadic and \sqrt 3 — subdivision for Uniform Powell — Sabin Splines," iv, pp.639, Sixth International Conference on Information Visualisation (IV'02), 2002
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