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Register a new userImplicit equations of non-degenerate rational Bezier quadric triangles
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Added by
Leonardo Fernandez-Jambrina
Publication date
2016
fields
Informatics Engineering
and research's language is
English
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In this paper we review the derivation of implicit equations for non-degenerate quadric patches in rational Bezier 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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