| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441089 | Computer Aided Geometric Design | 2007 | 8 Pages |
Abstract
NURPS surfaces are the rational extension of Powell–Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for rational Bézier curves to NURPS surfaces, resulting in weight points and weight triangles. They admit a local weight control in a geometrically intuitive way.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
