Computer aided geometric design

Researchers

P. Dierckx
H. Speleers

and previously also

J. Windmolders
M. Jansen
E. Vanraes
J. Maes
A. Bultheel

Description

Geometric modelling of complex shapes heavily relies on the use of powerful mathematical representations of surfaces. Widely used now is the normalised B-spline representation of tensor product splines. Yet it is basically restricted to four-sided patches. As an alternative we consider the use of Powell-Sabin splines on arbitrary triangulations. A suitable normalised B-spline representation was derived, allowing to define control triangles for the interactive manipulation of the surface. Further applications are investigated such as the subdivision problem, the representation of conics, rational Powell-Sabin spline surfaces, etc.



local adaptation made possible by hierarchical PS-splines	Showing the PS spline control triangles