6533b871fe1ef96bd12d2117

RESEARCH PRODUCT

Famille à un paramètre de coniques utilisant des courbes de Bézier à poids complexes

Jean-paul BecarLaurent FuchsLionel Garnier

subject

[MATH] Mathematics [math][MATH.MATH-MG] Mathematics [math]/Metric Geometry [math.MG]Points massiques complexes[MATH]Mathematics [math][MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]Modélisation géométrique

description

The paper deals with conics in a rational Bézier representation based on mass points where the weights are complex numbers here. A special representation of conics using weighted points and vectors offers a calculus flexibility in the handle elementary geometrical transformations as rotations, homotheties and direct similarity transformations. Some examples are proposed to the reader.

https://hal-uphf.archives-ouvertes.fr/hal-02510437/document