| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440975 | Computer Aided Geometric Design | 2009 | 11 Pages |
Abstract
A generalisation of Patterson's work, on the invariants of the rational Bézier paths, to the case of surface patches is presented. An equation for the determination of the invariants for patches of degree (n,n) is derived and solved for the bi-quadratics – for which it is shown that seven independent, invariant functions exist. Explicit forms of the invariants are derived and a number of applications are presented.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
