Conditions for Parametric and Geometric Coincidence of Two Rational Curves
Ying Hui-fen
Abstract
Ying Hui-fen
Abstract
Necessary and sufficient conditions for the relationship of weights and control points of two parametrically and geometrically coincident rational Bezier or NURBS curves are discussed in detail. The method is based on the reduction of matrices and transformation between rational Bezier curves and NURBS curves.
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Necessary and sufficient conditions for the relationship of weights and control points of two parametrically and geometrically coincident rational Bezier or NURBS curves are discussed in detail. The method is based on the reduction of matrices and transformation between rational Bezier curves and NURBS curves.
Key concepts: Bézier curve, Mathematics, Coincidence, Transformation (genetics), Geometric design, Family of curves, Parametric equation, Parametric statistics