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Memorias de investigación
Communications at congresses:
Implicit equations of rational Bezier quadric triangles
Year:2014
Research Areas
  • Mathematics,
  • Applications for ingineerings and sciences
Information
Abstract
In this paper we review the derivation of implicit equations for non-degenerate quadric patches in rational Bézier triangular form. These are the case of Steiner surfaces of degree two. We derive the bilinear forms for such quadrics in a coordinate-free fashion in terms of their control net and their list of weights in a suitable form. Our construction relies on projective geometry and is grounded on the pencil of quadrics circumscribed to a tetrahedron formed by vertices of the control net and an additional point which is required for the Steiner surface to be a non-degenerate quadric.
International
Si
Congress
7th International Conference on Curves and Surfaces
960
Place
París, Francia
Reviewers
Si
ISBN/ISSN
978-3-319-22803-7
10.1007/978-3-319-22804-4_6
Start Date
12/06/2014
End Date
18/06/2014
From page
70
To page
79
Lecture Notes in Computer Science 9213 Curves and Surfaces 8th International Conference, Paris, France, June 12-18, 2014, Revised Selected Papers
Participants
  • Autor: Alicia Canton Pire (UPM)
  • Autor: Leonardo Fernandez Jambrina (UPM)
  • Autor: Maria Eugenia Rosado Maria (UPM)
  • Autor: Maria Jesus Vazquez Gallo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Matemática e Informática Aplicadas a la Ingenierías Civil y Naval
  • Departamento: Ingeniería Civil: Hidráulica y Ordenación del Territorio
  • Departamento: Matemática Aplicada
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