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


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
PublisherSpringer Berlin / Heidelberg
Publication date2005
Publication statusPublished - 2005
Externally publishedYes


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