| 双曲抛物面上的一类G2连续逼近样条 |
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| 引用本文： | 陈娟娟,彭丰富.双曲抛物面上的一类G2连续逼近样条[J].计算机工程与应用,2011,47(33):185-187. |
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| 作者姓名： | 陈娟娟 彭丰富 |
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| 作者单位： | 桂林电子科技大学 数学与计算科学学院，广西 桂林 541004 |
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| 摘 要： | 在双曲抛物面上，仿射坐标系下，通过带逼近控制因子的双参数化方法，以及研究其参数间的函数关系构造出一类G2连续样条曲线。当控制多边形是平形四边形时，样条曲线段在逼近控制因子大于某个数时具有保形性质。对这类样条曲线段的逼近问题进行了一定的理论分析。
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| 关 键 词： | 双参数化 逼近 样条曲线 保形 |
| 修稿时间： | |
Approximation splines of G2-continuity over hyperbolic paraboloid |
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| CHEN Juanjuan,PENG Fengfu.Approximation splines of G2-continuity over hyperbolic paraboloid[J].Computer Engineering and Applications,2011,47(33):185-187. |
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| Authors: | CHEN Juanjuan PENG Fengfu |
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| Affiliation: | School of Mathematics and Computational Science，Guilin University of Electronic Technology，Guilin，Guangxi 541004，China |
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| Abstract: | Over a hyperbolic paraboloid,a type of splines of G2-continuity can be constructed conveniently based on affine coordinate system,in terms of bi-parametrization equipped with an approximation factor,and studying on a family of functions between these two parameters.When control polygon is a parallelogram,and the approximation factor is greater than certain number,spline curves on it are of shape retention.The approximation effect of the type of splines is theoretically analyzed. |
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| Keywords: | bi-parametrization approximation spline curve shape retention
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