| 局部重力场的非均匀B样条最小二乘逼近 |
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| 引用本文： | 郭建锋,归庆明,杨元喜.局部重力场的非均匀B样条最小二乘逼近[J].测绘学报,2000,29(3):189-192. |
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| 作者姓名： | 郭建锋 归庆明 杨元喜 |
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| 作者单位： | 1. 解放军信息工程大学,测绘学院,河南,郑州,450052
2. 西安测绘研究所,陕西,西安,710054 |
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| 基金项目： | 国家自然科学基金;49825107; |
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| 摘 要： | 讨论了非均匀Ｂ样条最小二乘数据拟合的基本原理，并分别就不规则点及规则网格点情形给出了相应的计算方法，给出了两个数值试验的例子以及一个在局部重力场逼近中的应用实例，试算结果表明该方法具有很好的精度和稳定性，对所述方法在测绘中的应用前景进行了展望。
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| 关 键 词： | 最小二乘 非均匀B样条 局部和场 逼近 |
Study of Non-uniform B-Spline Least Squares and Its Applications in Regional Gravity Field |
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| GUO Jian-feng,GUI Qing-ming,YANG Yuan-xi.Study of Non-uniform B-Spline Least Squares and Its Applications in Regional Gravity Field[J].Acta Geodaetica et Cartographica Sinica,2000,29(3):189-192. |
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| Authors: | GUO Jian-feng GUI Qing-ming YANG Yuan-xi |
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| Institution: | GUO Jian feng 1,GUI Qing ming 1,YANG Yuan xi 2 |
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| Abstract: | In this paper, the principle of non uniform B spline least squares is firstly discussed, and the corresponding computing methods for irregular and regular net are given. And then two simulation examples and one actual application in regional gravity field are presented. The numerical results indicate that the precision and stability of this method can be ensured. Lastly, the potential applied prospects are discussed as a positive conclusion. |
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| Keywords: | least squares non uniform B spline function regional gravity field |
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