Capítulo de libro:
Implicit equations of non-degenerate rational Bezier quadric triangles.
Implicit equations of non-degenerate rational Bezier quadric triangles.
Año:2015
Áreas de investigación
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Matemáticas, -
Ciencias de la computación y tecnología informática
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Descripción
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| 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. | |
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Internacional
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Si |
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DOI
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Edición del Libro
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Editorial del Libro
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ISBN
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978-3-642-27412-1 |
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Serie
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Springer Lecture Notes |
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Título del Libro
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Lectures Notes in Computer Science |
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Participantes
- Autor: Alicia Canton Pire (UPM)
- Autor: Leonardo Fernandez Jambrina (UPM)
- Autor: Maria Eugenia Rosado Maria (UPM)
- Autor: Maria Jesus Vazquez Gallo (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
- Creador: Departamento: Matemática Aplicada
- Departamento: Ingeniería Civil: Hidráulica y Ordenación del Territorio
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