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Implicit equations of non-degenerate rational Bezier quadric triangles
Cita
Cantón Pire, Alicia 
ORCID: https://orcid.org/0000-0002-2000-061X, Fernández Jambrina, Leonardo ORCID: https://orcid.org/0000-0002-4872-6973, Rosado María, María Eugenia ORCID: https://orcid.org/0000-0002-2930-5612 and Vázquez Gallo, María Jesús ORCID: https://orcid.org/0000-0002-1338-3149
(2015).
Implicit equations of non-degenerate rational Bezier quadric triangles.
"Lecture Notes in Computer Science", v. 9213
;
pp. 70-79.
ISSN 0302-9743.
https://doi.org/10.1007/978-3-319-22804-4_6.
ORCID: https://orcid.org/0000-0002-2000-061X, Fernández Jambrina, Leonardo ORCID: https://orcid.org/0000-0002-4872-6973, Rosado María, María Eugenia ORCID: https://orcid.org/0000-0002-2930-5612 and Vázquez Gallo, María Jesús ORCID: https://orcid.org/0000-0002-1338-3149
(2015).
Implicit equations of non-degenerate rational Bezier quadric triangles.
"Lecture Notes in Computer Science", v. 9213
;
pp. 70-79.
ISSN 0302-9743.
https://doi.org/10.1007/978-3-319-22804-4_6.
Descripción
| Título: | Implicit equations of non-degenerate rational Bezier quadric triangles |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Lecture Notes in Computer Science |
| Fecha: | Agosto 2015 |
| ISSN: | 0302-9743 |
| Volumen: | 9213 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Quadric, Steiner surfaces, Rational Bézier triangles |
| Escuela: | E.T.S.I. Navales (UPM) |
| Departamento: | Matemática e Informática Aplicadas a la Ingenierías Civil y Naval |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
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.
Más información
| ID de Registro: | 44513 |
|---|---|
| Identificador DC: | https://oa.upm.es/44513/ |
| Identificador OAI: | oai:oa.upm.es:44513 |
| Identificador DOI: | 10.1007/978-3-319-22804-4_6 |
| URL Oficial: | https://link.springer.com/chapter/10.1007/978-3-31... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 27 Jun 2017 07:42 |
| Ultima Modificación: | 27 Jun 2017 07:42 |
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