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The offset to an algebraic curve and an application to conics

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 conies. 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. © Springer-Verlag Berlin Heidelberg 2005.

Año de publicación:

2005

Keywords:

    Fuente:

    scopusscopus
    googlegoogle

    Tipo de documento:

    Conference Object

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Geometría
    • Optimización matemática
    • Modelo matemático

    Áreas temáticas:

    • Geometría
    • Álgebra
    • Matemáticas

    Contribuidores:

    Emiris I.Emiris I.
    F. Antón CastroF. Antón Castro
    François AntonFrançois Anton
    Mourrain B.Mourrain B.
    Teillaud M.Teillaud M.