Abstract
Developable surfaces are modelled with pieces of right circular cones. These cone spline surfaces are well suited for applications: they possess degree two parametric and implicit representations. Bending sequences and the development can be explicitly computed and the offsets are of the same type. The algorithms are based on elementary analytic and constructive geometry. There appear to be interesting relations to planar and spherical arc splines.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 571-582 |
| Number of pages | 12 |
| Journal | CAD Computer Aided Design |
| Volume | 30 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1998 |
| Externally published | Yes |
Keywords
- Arc spline
- Circular spline
- Developable surface
- NURBS
- Rational Bézier representation
ASJC Scopus subject areas
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
- Industrial and Manufacturing Engineering