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
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;
Conference_Titel :
Information Visualisation, 2002. Proceedings. Sixth International Conference on
Print_ISBN :
0-7695-1656-4
DOI :
10.1109/IV.2002.1028842
