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