Abstract
Curve offsets are important objects in computer-aided design. We study the algebraic properties of the offset to an algebraic curve, thus obtaining a general formula for its degree. This is applied to computing the degree of the offset to conics. We also compute an implicit equation of the generalised offset to a conic by using sparse resultants and the knowledge of the degree of the implicit equation.
| Original language | English |
|---|---|
| Title of host publication | Lecture Notes in Computer Science |
| Volume | 3480 |
| Publisher | Springer Berlin / Heidelberg |
| Publication date | 2005 |
| Pages | 683-696 |
| Publication status | Published - 2005 |
| Externally published | Yes |