Abstract
We review the theory of homogeneous splines and their relationship to special rational splines considered by J. Sánchez-Reyes and independently by P. de Casteljau who called them focal splines. Applying an appropriate duality, we transform focal splines into a remarkable class of rational curves with rational offsets. We investigate geometric properties of these dual focal splines and discuss applications to curve design problems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 139-154 |
| Number of pages | 16 |
| Journal | Mathematical Engineering in Industry |
| Volume | 7 |
| Issue number | 2 |
| State | Published - 1999 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Engineering