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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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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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