The offset to an algebraic curve and an application to conics

François Anton, Ioannis Emiris, Bernard Mourrain, Monique Teillaud

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

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 languageEnglish
Title of host publicationLecture Notes in Computer Science
Volume3480
PublisherSpringer Berlin / Heidelberg
Publication date2005
Pages683-696
Publication statusPublished - 2005
Externally publishedYes

Cite this

Anton, F., Emiris, I., Mourrain, B., & Teillaud, M. (2005). The offset to an algebraic curve and an application to conics. In Lecture Notes in Computer Science (Vol. 3480, pp. 683-696). Springer Berlin / Heidelberg.