Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335787 | Computer Aided Geometric Design | 2005 | 11 Pages |
Abstract
By exploiting the freedom in the choice of parametrization of a parametric surface, we show that there exist quadratic parametric surfaces that approximate a given parametric surface with the same approximation order as cubics, namely four, in the neighbourhood of a point where the Gaussian curvature of the surface is nonzero. This provides a first generalization to surfaces of earlier work for curves.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Knut Mørken,