Abstract



1. This talk is mainly about How to draw geometric information from rational Bézier quadric triangles using just their control points and their weights. This is joint work with A. Cantón, L. FernándezJambrina and E. Rosado. In particular, we get closed formulas for geometric elements of quadrics (surfaces) in rational Bézier triangular form starting from just their control points and their weights, employing algebraic projective geometry techniques. In addition, 1) Using the same data (control points and weights of quadrics in rational Bézier triangular form), we can get:  Closed formulas for the implicit equation of quadrics.  An affine classification of quadrics in Bézier form. 2) We can extend the results to quadric tensor product patches and to rational biquadratic quadric patches.  
International

Si 
Congress

Mathematical Models for Curves and Surfaces (MMCS09) 

960 
Place

Tronsberg, Noruega 
Reviewers

Si 
ISBN/ISSN




Start Date

23/06/2016 
End Date

28/06/2016 
From page


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