| 基于多面核函数配置型模型的参数估计 |
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| 引用本文： | 陶本藻,姚宜斌.基于多面核函数配置型模型的参数估计[J].武汉大学学报(信息科学版),2003,28(5):547-550. |
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| 作者姓名： | 陶本藻 姚宜斌 |
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| 作者单位： | 1. 武汉大学地球空间环境与大地测量教育部重点实验室,武汉市珞喻路129号,430079
2. 武汉大学测绘学院,武汉市珞喻路129号,430079 |
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| 基金项目： | 国家自然科学基金资助项目 (4 0 0 0 40 0 1,40 2 740 0 5 ) |
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| 摘 要： | 针对同时出现非随机参数、已测点和未测点信号的配置型模型精确建立协方差函数的困难，在研究和应用最小二乘配置和多面函数拟合法的基础上，将两法综合，提出了多面核函数配置法，导出了这种平差方法的解算公式。并与最小二乘配置、多面函数拟合作了比较分析。
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| 关 键 词： | 多面函数拟舍 参数估计 配置型模型 多面核函数 最小二乘配置 测量平差 |
| 文章编号： | 1671-8860(2003)05-0547-04 |
| 修稿时间： | 2003年5月9日 |
Parameter Estimation Based on Multi-quadric Collocation Model |
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| TAO Benzao,YAO Yibin.Parameter Estimation Based on Multi-quadric Collocation Model[J].Geomatics and Information Science of Wuhan University,2003,28(5):547-550. |
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| Authors: | TAO Benzao YAO Yibin |
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| Institution: | TAO Benzao 1 YAO Yibin 2 |
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| Abstract: | On the basis of the research of least squares collocation and multi-quadric equations interpolation, a new estimation method is presented. Penalised least squares technique is proposed to estimate parameters and the multi-quadric equation is chosen as R matrix. At the same time, the relationship of the observed points and non-observed points is also expressed as multi-quadric equation. The formulas of this method are deduced. Without the covariance equation of sign, the result obtained by the new method corresponds with that by the collocation method. It is also the expand of multi-quadric equations interpolation. So the new method can enlarge the use of collocation model. |
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| Keywords: | least squares collocation multi-quadric equations interpolation parameter estimation |
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