Local geoid height approximation and interpolation using moving least squares approach
作者：M.Kiani
摘要：In this paper an introduction of the moving least squares approach is presented in the context of data approximation and interpolation problems in Geodesy.An application of this method is presented for geoid height approximation and interpolation using different polynomial basis functions for the approximant and interpolant,respectively,in a regular grid of geoid height data in the region 16.0417°≤φ≤47.9583°and 36.0417°≤λ≤69.9582°,with increment 0.0833°in both latitudal and longitudal directions.The results of approximation and interpolation are then compared with the geoid height data from GPS-Levelling approach.Using the standard deviation of the difference of the results,it is shown that the planar interpolant,with reciprocal of distance as weight function,is the best choice in this local approximation and interpolation problem.
发文机构：School of Surveying and Geospatial Data Engineering
关键词：APPROXIMATIONandINTERPOLATIONPOINTSGPS-LevellingMovingLeastSquaresGEOIDHEIGHTGridPOINTS
分类号： P223.0[天文地球—大地测量学与测量工程][天文地球—测绘科学与技术]
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