| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 439885 | Computer-Aided Design | 2008 | 6 Pages |
Abstract
We consider patches that contain any given 3D polynomial curve as a pregeodesic (i.e. geodesic up to reparametrization). A curve is a pregeodesic if and only if its rectifying plane coincides with the tangent plane to the surface, we use this fact to construct ruled cubic patches through pregeodesics and bicubic patches through pairs of pregeodesics. We also discuss the G1G1 connection of (1,k)(1,k) patches with abutting pregeodesics.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Marco Paluszny,