Some Methods for Shape Modification of Cubic Rational Bézier Curves;

Convergence of hybrid polynomial approximation of rational Bézier curves;

This paper gives the operator representation of rational Bézier curves′ derivatives,and the operator representation of the necessary and sufficient conditions of G1 and G2 continuous connexion between two adjacent random degree rational Bézier curves according to G1 and G2 continuous conditions.

Approximating a kind of rational Bézier curves and their integral computation and derivatives using polynomial curves;

Simultaneous blending of arbitrary plane topology with the quadric rational Bézier curve;

New way of approximating rational Bézier curve with polynomial curve

G~2 continuity conditions for assembling of two cubic rational Bézier spline curves;

In this paper the authors analyze the shape features like singularities,inflection points and local or global convexity of rational C-Bézier curve,then give the necessary and sufficient conditions for this curve having one or two inflection points,or a loop,or a cusp,or being local or global convex in terms of the relative position of its control polygons′ side vectors.

Fairing extending of cubic rational Bézier curve;