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用MLS多面函数拟合法求解高程异常
引用本文:李国鹏,刘站科,柏华岗.用MLS多面函数拟合法求解高程异常[J].测绘工程,2011,20(5):33-35.
作者姓名:李国鹏  刘站科  柏华岗
作者单位:国家测绘局第一大地测量队,陕西西安,710054
摘    要:在求解高精度的高程异常时,多面函数在理论上可以以任意精度逼近任意复杂曲面,但其核函数与平滑因子的选取,以及定权的方式都会对拟合效果产生很大影响,而移动最小二乘(MLS)多面函数法通过对权函数合理的调整,使不同的待定点建立不同的多面函数模型,有效提高高程异常的拟合逼近精度.

关 键 词:高程异常  移动最小二乘多面函数  拟合    核函数

Obtaining height anomaly by using multi-quadric function interpolation of moving least square
LI Guo-peng,LIU Zhan-ke,BAI Hua-gang.Obtaining height anomaly by using multi-quadric function interpolation of moving least square[J].Engineering of Surveying and Mapping,2011,20(5):33-35.
Authors:LI Guo-peng  LIU Zhan-ke  BAI Hua-gang
Institution:LI Guo-peng,LIU Zhan-ke,BAI Hua-gang(The First Geodetic Surveying Brigade of SBSM,Xian 710054,China)
Abstract:While obtaining the high-accuracy height-anomaly,multi-quadric function interpolation in terms of theory is not bad accuracy to approach the arbitrarily complicated curved surface arbitrarily,but the core-function and smoothing factor,the choice of weight will exceedingly affect the fitting impression.By adjusting rationally the weight function with the multi-quadric function interpolation of MLS,established on the different model of multi-quadric function interpolation to the different point of certainty,e...
Keywords:height-anomaly  multi-quadric function interpolation of moving  least-square fitting  weight  core-function  
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