| 带两个形状参数的同次Bézier曲线 |
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| 引用本文： | 李军成,刘成志.带两个形状参数的同次Bézier曲线[J].计算数学,2017,39(2):115-128. |
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| 作者姓名： | 李军成 刘成志 |
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| 作者单位： | 湖南人文科技学院数学系, 娄底 417000 |
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| 基金项目： | 湖南省教育厅资助科研项目（14B099）；湖南省自然科学基金资助项目（13JJ6081）；湖南省自然科学基金资助项目（2017JJ3124）. |
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| 摘 要： | 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.
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| 关 键 词： | Bézier曲线 形状参数 同次扩展 |
BÉZIER CURVE OF THE SAME DEGREE WITH TWO SHAPE PARAMETERS |
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| Li Juncheng,Liu Chengzhi.BÉZIER CURVE OF THE SAME DEGREE WITH TWO SHAPE PARAMETERS[J].Mathematica Numerica Sinica,2017,39(2):115-128. |
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| Authors: | Li Juncheng Liu Chengzhi |
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| Affiliation: | Department of Mathematics, Hunan Institute of Humanities, Science and Technology, Loudi 417000, China |
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| Abstract: | A Bézier-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 Bézier curve of the same degree,which not only has most properties of the classical Bézier 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 Bézier curve,it has more advantages than some existing Bézier-like curves with shape parameters. |
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| Keywords: | Bézier curve shape parameter extension of the same degree |
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