Projective geometry and its applications to computer graphics
Projective geometry and its applications to computer graphics
Geometric concepts for geometric design
Geometric concepts for geometric design
The NURBS book
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
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A projective invariant generalization of the de Casteljau algorithm is described by using the cross ratio and an auxiliary line. We describe the implicit form of the section conics obtained by the algorithm proposed in this paper. Finally, we show how to construct specific conic sections using this approach.