| 圆锥曲线的有理三次Bezier表示 |
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| 引用本文： | 董克,谢进.圆锥曲线的有理三次Bezier表示[J].绵阳师范高等专科学校学报,2011(5):77-79. |
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| 作者姓名： | 董克 谢进 |
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| 作者单位： | [1]安徽广播电视大学基础部,安徽合肥230022 [2]合肥学院数理系,安徽合肥230601 |
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| 摘 要： | 给出圆锥曲线上的两个控制点，利用有理曲线升阶方法，求出有理三次B6zier曲线的另外两个控制顶点以及权因子γ的值，从而达到用有理三次B6zier曲线对已给定的圆锥曲线的精确表示，如双曲线弧、抛物线弧和椭圆弧的表示。并给出了数值实例。
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| 关 键 词： | 有理三次Bezier曲线 双曲线弧 椭圆弧 抛物线弧 |
On Rational Cubic Bezier Illustration of Conic Curves |
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| DONG Ke,XIE Jin.On Rational Cubic Bezier Illustration of Conic Curves[J].Journal of Mianyang Teachers College,2011(5):77-79. |
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| Authors: | DONG Ke XIE Jin |
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| Institution: | 1. Dept. of Basic Courses, Anhui Radio ＆ TV University, Hefei, Anhui 230022 ; 2. Dept. of Mathematics and Physics, Hefei University, Hefei, Anhui 230601) |
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| Abstract: | Two conrol points of the conic curves is given, using degree elevation of rational curves, so it can indicate the conic curves by the rational Bezier curve. From the degree elevation, it can figure out the weight. Then the ratinal cubic curve can indicate the conic curves, such as the hyperbolic arc, parabolic arc and elliptic arc. Some examples is given. |
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| Keywords: | rational cubic Bezier curve hyperbolic arc elliptic arc parabolic arc |
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