Geometric characteristics of conics in Bézier form

Authors:
A. Cantón;L. Fernández-Jambrina;E. Rosado María
Affiliations:
Departamento de Ciencias Aplicadas a la Ingeniería Naval, E.T.S.I. Navales, Arco de la Victoria s/n, E-28040-Madrid, Spain;Departamento de Ciencias Aplicadas a la Ingeniería Naval, E.T.S.I. Navales, Arco de la Victoria s/n, E-28040-Madrid, Spain;Departamento de Matemática Aplicada a la Edificación, al Medio Ambiente y al Urbanismo, E.T.S. Arquitectura, Juan de Herrera 4, E-28040-Madrid, Spain
Venue:
Computer-Aided Design
Year:
2011

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Abstract

In this paper, we address the calculation of geometric characteristics of conic sections (axes, asymptotes, centres, eccentricity, foci) given in Bezier form in terms of their control polygons and weights, making use of real and complex projective and affine geometry and avoiding the use of coordinates.