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.
|Title of host publication||Lecture Notes in Computer Science|
|Publisher||Springer Berlin / Heidelberg|
|Publication status||Published - 2005|