| 基于基样条局部逼近散乱数据拟合中的Shepard方法 |
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| 引用本文： | 聂卉,曾龙,罗笑南.基于基样条局部逼近散乱数据拟合中的Shepard方法[J].数学研究及应用,2003,23(2):237-240. |
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| 作者姓名： | 聂卉 曾龙 罗笑南 |
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| 作者单位： | 中山大学计算机应用研究所,广东,广州,510275 |
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| 摘 要： | 本文针对散乱数据拟合的shepard方法,提出了一种局部逼近的新方法.该方法以局部三次基样条函数作为Shepard公式中的权函数,新的权函数具有良好的衰减性和二阶连续性,从而改进了传统方法的不足之处,使实际应用效果更好.
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| 关 键 词： | Shepard方法 散乱数据拟合 局部逼近 基样条 |
| 收稿时间： | 2000/10/18 0:00:00 |
A Partial Approximation Shepard Method Based on Cardinal Spline About Messy Data |
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| NIE Hui,ZENG Long and LUO Xiao-nan.A Partial Approximation Shepard Method Based on Cardinal Spline About Messy Data[J].Journal of Mathematical Research with Applications,2003,23(2):237-240. |
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| Authors: | NIE Hui ZENG Long and LUO Xiao-nan |
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| Institution: | Computer Application Institute; Zhongshan University; Guangzhou; China;Computer Application Institute; Zhongshan University; Guangzhou; China;Computer Application Institute; Zhongshan University; Guangzhou; China |
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| Abstract: | With regards to Shepard method, in the paper, we present a better one based on partial approximation to fit messy data. In the method, partial cubic cardinal spline function is chosen as weight function φ(x) in the Shepard formula which is φ(x) ∈C2 and has good attenuation characteristics. So the traditional Shepard method is improved and the better results can be achieved in practical applications. |
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| Keywords: | Shepard method messy data fitting partial approximation cardinal spline |
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