| 反求标准型有理二次Bezier曲线的参数与内权因子 |
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| 引用本文： | 施法中.反求标准型有理二次Bezier曲线的参数与内权因子[J].计算机辅助设计与图形学学报,1995,7(2):91-95. |
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| 作者姓名： | 施法中 |
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| 作者单位： | 北京航空航天大学制造工程系 |
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| 摘 要： | 给定不共线的三个控制顶点和位于这些项点的凸包内在二次曲线上的一点，可以决定一条标准型有理二次Ｂｅｚｉｅｒ曲线。本文提供了一些简单有效的方法，反求曲线上该点的参数和内权因子，避免了数值计算的不稳定性。
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| 关 键 词： | CAGD Bezier曲线 参数 B样系 内权因子 |
INVERSELY SOLVING THE PARAMETER AND INNER WEIGHT OF A STANDARD-FORM RATIONAL QUADRATIC BEZIER CURVE |
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| Shi Fazhong.INVERSELY SOLVING THE PARAMETER AND INNER WEIGHT OF A STANDARD-FORM RATIONAL QUADRATIC BEZIER CURVE[J].Journal of Computer-Aided Design & Computer Graphics,1995,7(2):91-95. |
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| Authors: | Shi Fazhong |
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| Affiliation: | Beijing University of Aeronautics & Astronautics. Beijing 100083 |
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| Abstract: | Given three non-collinear control vertices and a point on a conic inside the convex hull of the vertices, a standard-form rational quadratic Bezier curve can be determined. This paper provides some simple and efficient methods for inversely solving the parameter of the point and the inner weight, which avoid the instability in numerical calculation. |
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| Keywords: | computer aided geometric design rational quadratic B zier curve conic |
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