基于加权整体最小二乘的平面坐标转换模型精度分析  

Accuracy Analysis of Planar Coordinate Conversion Model Based on Weight Total Least-squares

作　　者：吴壮壮 黄腾[1] 周立俊 王思捷 Wu Zhuangzhuang;Huang Teng;Zhou Lijun;Wang Sijie(College of Geosciences and Engineering,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学地球科学与工程学院,江苏南京211100

出　　处：《甘肃科学学报》2021年第1期36-40,共5页Journal of Gansu Sciences

摘　　要：由于平面坐标转换在实际工程中应用较广且精度要求较高,故提出基于加权整体最小二乘算法求解坐标转换参数,即对系数矩阵和观测值矩阵都赋予合理权值。为进一步提高转换精度,通过实例在加权整体最小二乘求解参数的基础上,分别比较了四参数模型、六参数模型、双线性内插模型及二次曲面模型的坐标转换精度。实验表明,基于加权整体最小二乘求解的二次曲面模型在平面坐标转换中精度较高。Since planar coordinate transformation is widely used in practical engineering and has high precision requirements,this paper proposes to solve the coordinate transformation parameters based on the weight total least-squares,which gives reasonable weight to both the coefficient matrix and the observation matrix.In order to further improve the conversion accuracy,this paper compares the coordinate transformation accuracy of the four-parameter model,the six-parameter model,the bilinear interpolation model and the quadric surface model based on the weight total least-squares solution parameters.Experiments show that the quadric surface model based on the weight total least-squares solution has higher precision in plane coordinate transformation.

关 键 词：平面坐标转换 加权整体最小二乘 转换模型 转换精度 

分 类 号：P207[天文地球—测绘科学与技术]