引用本文: 徐遵义, 姜玉祥, 赵亮, 丁福兴. 改进的Shepard算法及其在重力异常插值中的应用[J]. 武汉大学学报 ( 信息科学版), 2010, 35(4): 477-480.
XU Zunyi, JIANG Yuxiang, ZHAO Liang, DING Fuxing. Improved Shepard Method and Its Application in Gravity Field Data Interpolation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(4): 477-480.
 Citation: XU Zunyi, JIANG Yuxiang, ZHAO Liang, DING Fuxing. Improved Shepard Method and Its Application in Gravity Field Data Interpolation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(4): 477-480.

Improved Shepard Method and Its Application in Gravity Field Data Interpolation

• 摘要: 基于Shepard插值模型的基本原理,从权函数的构造和采样点的选取两个方面对Shepard函数逼近模型和算法实现进行了改进。新模型的权函数具有更高的光滑度和更好的衰减性并且其光滑性和衰减性可以根据需要自由调节。改进后的算法插值精度更高且实现简单、便于应用,弥补了传统插值算法的不足。通过对实测重力场数据的插值试验,运用本文改进的算法可使插值误差统计特征多项指标均有一定的提高。

Abstract: Shepard method is applied in many science fields. Based on the basic principles of Shepard model, the structure of the cost function and the selection of the scattered data are improved in this article. The smoothness and decay capacity of the improved cost function is better and can be adjusted freely depending on the demand. As a result, the interpolation accuracy is increased and the implement of the improved method is more convenient in application. In the end, the experiments are made on the real gravity field data, the several statistical characteristics of the error is improved using the modified Shpard method in this article, which indicated our work is successful.

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