The Offset to an Algebraic Curve and an Application to Conics
Résumé
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.
Domaines
Géométrie algorithmique [cs.CG]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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