改进的Shepard算法及其在重力异常插值中的应用  

Improved Shepard Method and Its Application in Gravity Field Data Interpolation

作　　者：徐遵义[1,2] 姜玉祥[2] 赵亮[2] 丁福兴[1] 

机构地区：[1]山东建筑大学计算机科学与技术学院 [2]北京大学空间信息集成与3S工程应用北京市重点实验室,北京市海淀区颐和园路5号100871

出　　处：《武汉大学学报（信息科学版）》2010年第4期477-480,共4页Geomatics and Information Science of Wuhan University

基　　金：国家863计划资助项目(2007AA09Z201);山东省自然科学基金资助项目(Y2008G02);山东建筑大学博士科研启动基金资助项目

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。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.

关 键 词：Shepard模型 数据插值 散乱数据 重力插值 

分 类 号：P223[天文地球—大地测量学与测量工程]