带两个形状参数的同次Bézier曲线

BZIER CURVE OF THE SAME DEGREE WITH TWO SHAPE PARAMETERS

构造了一种带两个形状参数的Bézier型曲线,并研究了该曲线的性质、形状参数对曲线的影响及曲线的拼接.所提出的曲线是多项式Bezier曲线的一种同次新扩展,不仅具有传统Bézier曲线的诸多性质,而且可通过修改两个形状参数的取值对其形状进行调节.由于所提出的曲线是一种带有形状参数且与传统Bézier曲线具有相似性质的同次多项式模型,因此比现有的一些带形状参数的Bézier型曲线更有优势.

A Bezier-like curve with two shape parameters is presented. Then properties of the curve, effects of the shape parameter on the curve and splicing of the curve are discussed. The proposed curve is a novel extension to the classical polynomial Bezier curve of the same degree, which not only has most properties of the classical Bezier curve, but also can be adjusted by altering value of the shape parameter. Because the proposed curve is a polynomial model of the same degree and having most properties of the classical Bezier curve, it has more advantages than some existing Bezier-like curves with shape parameters.