李军成, 刘成志

湖南人文科技学院数学系, 娄底 417000

收稿日期:2015-09-25出版日期:2017-05-15发布日期:2017-07-18


基金资助: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）.

BÉZIER CURVE OF THE SAME DEGREE WITH TWO SHAPE PARAMETERS

Li Juncheng, Liu Chengzhi

Department of Mathematics, Hunan Institute of Humanities, Science and Technology, Loudi 417000, China

Received:2015-09-25Online:2017-05-15Published:2017-07-18







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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Bézier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.
MR(2010)主题分类:
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