| 圆弧曲线的有理五次Bernstein基表示 |
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| 引用本文： | 王珺.圆弧曲线的有理五次Bernstein基表示[J].阜阳师范学院学报(自然科学版),2013,30(3):19-21. |
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| 作者姓名： | 王珺 |
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| 作者单位： | 巢湖学院数学系,安徽巢湖,238000 |
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| 基金项目： | 安徽省教育厅自然科学基金项目，巢湖学院一般科研项目 |
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| 摘 要： | 在计算机辅助几何设计中,圆弧是一个重要且基础的几何对象。在CAD\CAM系统中,往往采用有理Bézier曲线精确表示圆弧,但用低次的有理Bézier曲线不能表示整圆。文章推导出了有理五次Bézier曲线表示圆弧的充要条件,并通过实例验证了有理五次Bézier曲线可以表示整圆。
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| 关 键 词： | 圆弧 整圆 有理五次Bernstein基 有理五次Bézier曲线 二次曲线 |
Expression of arc curve with rational quintic Bernstein base |
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| WANG Jun.Expression of arc curve with rational quintic Bernstein base[J].Journal of Fuyang Teachers College:Natural Science,2013,30(3):19-21. |
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| Authors: | WANG Jun |
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| Institution: | WANG Jun ( Department of Mathematics, Chaohu College, Chaohu Anhui 238000, China) |
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| Abstract: | In computer-aided geometric design, the are is an important and basic geometry object. In the CAD／CAM system, rational Brzier curve is often used to express are accurately, but low times rational Bezier curve can not express the whole circle. This paper deduced necessary and sufficient conditions of expressing are with the rational quintic Bezier curve, and proved through an example that the rational quintie Bezier curve can express the whole circle. |
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| Keywords: | arc the whole circle rational quintic Bemstein base rational quintic Bezier curve conic |
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