| 基于径向基函数与B样条的散乱数据拟合方法 |
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| 引用本文： | 韩旭里,庄陈坚,刘新儒.基于径向基函数与B样条的散乱数据拟合方法[J].计算技术与自动化,2007,26(1):63-65,69. |
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| 作者姓名： | 韩旭里 庄陈坚 刘新儒 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,湖南,长沙,410083 |
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| 摘 要： | 针对散乱数据的曲面拟合问题,提出一种径向基函数与B样条插值结合使用的曲面拟合方法.通过分片径向基函数插值,三维散乱点,再从分片插值曲面上获取预先设定好的有序网格点的值,最后利用张量积B样条插值有序网格点,从而得到拟合曲面.该方法较好地解决散乱数据插值和拟合的计算不稳定性问题,最后给出算法实例.
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| 关 键 词： | 曲面拟合 高斯函数 双三次B样条插值 径向基函数 径向基函数插值 散乱数据插值 面拟合方法 Functions Basis Radical Based Scattered Data 算法实例 不稳定性 计算 拟合曲面 张量积 利用 网格点 有序 曲面上 三维散乱点 使用 结合 |
| 文章编号： | 1003-6199（2007）01-0063-03 |
| 收稿时间： | 2006-07-04 |
| 修稿时间： | 2006-07-04 |
Algorithm of the Scattered Data Approximating Based on Radical Basis Functions and B-spline |
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| HAN Xu-Li,ZHUANG Chen-jian,LIU Xi-ru.Algorithm of the Scattered Data Approximating Based on Radical Basis Functions and B-spline[J].Computing Technology and Automation,2007,26(1):63-65,69. |
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| Authors: | HAN Xu-Li ZHUANG Chen-jian LIU Xi-ru |
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| Affiliation: | The School of Mathematics Science and Computing Technology, Central South University,Changsha 410083,China |
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| Abstract: | Aiming at the surface approximating of the scattered data, this paper proposes a fitting method of curved surface which is based on the radial basis functions used together with the B - spline surface. By the way of the banding radical basis fuctions interpolating scattered data, we obtain the values of preset ordered mesh points from the interpolating surface, and then use tensor product B - spline interpolate these ordered mesh points to get the approximating surface. This method is a good solution for the numerical instability of scattered data interpolation and fitting. In the end, it also gives some algorithms implementation. |
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| Keywords: | surface approximating Gaussian function bicubic B- spline surface interpolation radial basis functions |
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