Observatorio de I+D+i UPM

Descripción
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.
Internacional	Si
Nombre congreso	7th International Conference on Curves and Surfaces
Tipo de participación	960
Lugar del congreso	París, Francia
Revisores	Si
ISBN o ISSN	978-3-319-22803-7
DOI	10.1007/978-3-319-22804-4_6
Fecha inicio congreso	12/06/2014
Fecha fin congreso	18/06/2014
Desde la página	70
Hasta la página	79
Título de las actas	Lecture Notes in Computer Science 9213 Curves and Surfaces 8th International Conference, Paris, France, June 12-18, 2014, Revised Selected Papers

Esta actividad pertenece a memorias de investigación

• Autor: Alicia Canton Pire (UPM)
• Autor: Leonardo Fernandez Jambrina (UPM)
• Autor: Maria Eugenia Rosado Maria (UPM)
• Autor: Maria Jesus Vazquez Gallo (UPM)

• Creador: Departamento: Matemática e Informática Aplicadas a la Ingenierías Civil y Naval
• Departamento: Ingeniería Civil: Hidráulica y Ordenación del Territorio
• Departamento: Matemática Aplicada