2005Journal of Jiangsu UniversityRequires access

Continuous conditions between C-Bézier curves and NURBS curves

Yang Song-lin

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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.

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Available 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.

Key concepts: Bézier curve, Family of curves, Mathematics, Geometric design, Parametric equation, Quadratic equation, Curve fitting, Mathematical analysis

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