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ISSN: 2333-9721
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计算数学  1992 

COMPLEX BEZIER CURVES OF DEGREE TWO ON UNIT CIRCULAR ARCS
单位圆弧上复二次Bézier曲线

Keywords: 复样条函数,Bezier曲线,CAD,CAM

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Abstract:

Geometrical properties of complex Bezier curves of degree 2 which are definedon unit circular arcs, are discussed. The curve particularly has no singular pointsand has a possible inflection point, if the rotating directions of vertices of its co-ntrol polygon and its defined arc are the same. Furthermore, the curve is convex,if the inner- vertex is not close to each of end-vertices. A condition of spline curvesbased on such two complex Bezier curves with visual C~1 continuity is provided.

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