Observatorio de I+D+i UPM

Memorias de investigación
Book chapters:
Implicit equations of non-degenerate rational Bezier quadric triangles.
Year:2015
Research Areas
  • Mathematics,
  • Information technology and adata processing
Information
Abstract
In this paper we review the derivation of implicit equations for non-degenerate quadric patches in rational B?ezier 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
Book Edition
Book Publishing
ISBN
978-3-642-27412-1
Series
Springer Lecture Notes
Book title
Lectures Notes in Computer Science
From page
0
To page
0
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 Aplicada
  • Departamento: Ingeniería Civil: Hidráulica y Ordenación del Territorio
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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