内插平面坐标转换中病态矩阵与粗差处理算法研究  

The Algorithm Study of Ill-conditioned Matrix and Gross Error Processing in Interpolation of Horizontal Coordinate Transformation

作　　者：曹后龙 CAO Houlong(Shanghai Nuclear Engineering Research&Design Institute Co.,Ltd.,Shanghai 200233,China)

机构地区：[1]上海核工程研究设计院有限公司,上海200233

出　　处：《测绘与空间地理信息》2021年第9期185-187,共3页Geomatics & Spatial Information Technology

摘　　要：内插算法用于测量平面坐标转换时,经常会遇到因病态矩阵和公共点坐标粗差导致坐标转换精度差、甚至转换失败的问题。文章基于双线性内插模型,结合LC曲线及抗差估计法进行抗病态与抗粗差研究。算例研究表明,LC曲线法与抗差估计法能分别克服内插平面坐标转换中病态矩阵及坐标粗差的问题,获得较高精度的转换坐标。The problems of poor transformation accuracy and transformation failure are caused by the ill-conditioned matrix and gross errors in t he interpolation algorithm of horizontal coordinate transformation.In this paper,based on bilinear interpolation model,the LC curve method and robust estimation algorithm are used to process the gross error and ill-conditioned matrix.Numerical example shows that the LC curve method can overcome the matrix ill-posed problem,and robust estimation can resist the coarse error effects,which obtain the relatively accurate coordinate transformation.

关 键 词：内插 病态矩阵 LC曲线法 粗差 抗差估计 

分 类 号：P25[天文地球—测绘科学与技术] TB22[天文地球—大地测量学与测量工程]