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计算数学  2000 

THE CUBIC RATIONAL BEZIER CURVE DETERMINED BY TWO POINTS WITH CONVEX HULL PROPERTY AND CONVEXITY PRESERVING PROPERTY
由两点确定的具凸包性和保凸性的三次有理Bézier曲线

Keywords: 凸包性,保凸性,三次有理Bezier曲线,控制多边形

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Abstract:

This paper shows that under a necessary and sufficient condition, there exists a cubic rational Bezier curve with convex hull property and convexity preserving property which passes two given points inside the control polygon.

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