6533b851fe1ef96bd12a9567

RESEARCH PRODUCT

Points massiques, courbes de Bézier quadratiques et coniques : un état de l'art

Jean-paul BecarLionel Garnier

subject

coniques[MATH] Mathematics [math][MATH.MATH-MG] Mathematics [math]/Metric Geometry [math.MG]Points massiques[MATH]Mathematics [math]courbes de Bézier rationnelles quadratiques[MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]

description

It is well known quadratic Bézier curves define conics. The use of massic points permits to define a semi-conic in the Euclidean plane. Moreover, from a given quadratic Bézier curve, we can determine the properties of the underlying conic. Moreover, the choice of an adequat non-degenerate indefinite quadratic form permits to see the non-degenerate central conic as an unitary circle.

https://hal-uphf.archives-ouvertes.fr/hal-02516049/document