Proceedings Sixth International Conference on Information Visualisation (2002)
July 10, 2002 to July 12, 2002
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.
A. Bultheel, J. Windmolders, E. Vanraes and P. Dierckx, "Dyadic and \sqrt 3 — subdivision for Uniform Powell — Sabin Splines," Proceedings Sixth International Conference on Information Visualisation(IV), London, England, 2002, pp. 639.