Continuous conditions between C-Bézier curves and NURBS curves
Yang Song-lin
Abstract
Yang Song-lin
Abstract
The C-Bezier curves are new representation forms of parametric curves that can represent precisely the quadratic curves.The G~(1) and G~(2) continuous conditions between the C-Bezier curves and Bezier curves,the C-Bezier curves and the rational Bezier curves,and the C-Bezier curves and B-spline curves are discussed.The way of computing the offset curve of the C-Bezier curve is given.
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The C-Bezier curves are new representation forms of parametric curves that can represent precisely the quadratic curves.The G~(1) and G~(2) continuous conditions between the C-Bezier curves and Bezier curves,the C-Bezier curves and the rational Bezier curves,and the C-Bezier curves and B-spline curves are discussed.The way of computing the offset curve of the C-Bezier curve is given.
Key concepts: Bézier curve, Family of curves, Mathematics, Geometric design, Parametric equation, Quadratic equation, Curve fitting, Mathematical analysis