Geometric characteristics of conics in Bézier form

Cantón Pire, Alicia and Fernández Jambrina, Leonardo and Rosado María, María Eugenia (2011). Geometric characteristics of conics in Bézier form. "Computer-Aided Design", v. 43 (n. 11); pp. 1413-1421. ISSN 0010-4485. https://doi.org/10.1016/j.cad.2011.08.025.

Description

Title: Geometric characteristics of conics in Bézier form
Author/s:
  • Cantón Pire, Alicia
  • Fernández Jambrina, Leonardo
  • Rosado María, María Eugenia
Item Type: Article
Título de Revista/Publicación: Computer-Aided Design
Date: November 2011
ISSN: 0010-4485
Volume: 43
Subjects:
Faculty: E.T.S. Arquitectura (UPM)
Department: Matemática Aplicada a la Edificación, al Medio Ambiente y al Urbanismo [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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 Bézier 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.

More information

Item ID: 9452
DC Identifier: https://oa.upm.es/9452/
OAI Identifier: oai:oa.upm.es:9452
DOI: 10.1016/j.cad.2011.08.025
Official URL: http://www.sciencedirect.com/science/journal/00104...
Deposited by: Memoria Investigacion
Deposited on: 10 Nov 2011 10:53
Last Modified: 31 Mar 2020 09:38
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