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.
作者
曹后龙
CAO Houlong(Shanghai Nuclear Engineering Research&Design Institute Co.,Ltd.,Shanghai 200233,China)
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
关键词
内插
病态矩阵
LC曲线法
粗差
抗差估计
interpolation
ill-conditioned matrix
LC curve
gross error
robust estimation
