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TW 328
J. Windmolders, P. Dierckx
Uniform Powell-Sabin splines for the polygonal hole problem
Abstract
An algorithm for smoothly filling in a polygonal hole in a surface, with a parametric uniform Powell--Sabin spline surface, is described. It uses interpolation and subdivision techniques for iteratively determining an approximating solution. No assumptions are made about the surrounding surface. The user has to provide routines for calculating the curve points and the unit surface normal along the edge, as well as the unit tangent vector of the edge curves, parametrized on the unit interval. The method is illustrated by some examples.
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