基于总体最小二乘法的二维坐标转换方法  

A study of two dimensional coordinate transformation based on total least squares

作　　者：赵景堂 杜国明 李秀海[3] 

机构地区：[1]中国石油集团东北炼化工程有限公司吉林设计院,吉林吉林132021 [2]辽宁省鞍钢大孤山铁矿采矿车间,辽宁鞍山114046 [3]黑龙江工程学院测绘工程学院,黑龙江哈尔滨150050

出　　处：《黑龙江工程学院学报》2015年第1期21-22,26,共3页Journal of Heilongjiang Institute of Technology

基　　金：黑龙江省教育厅资助项目(12511465)

摘　　要：介绍总体最小二乘法进行二维坐标转换的原理和方法。通过具体工程案例,研究利用总体最小二乘法进行坐标转换,结果表明:与普通最小二乘法相比较,总体最小二乘方法能够提高坐标成果转换精度,但如果应用不当,则不如普通最小二乘法的转换结果。The method and principle of two dimensional coordinate transformation based on total least squares are introduced . The total least squares are applied to a survey engineering example in two dimensional coordinate transformation . The results show that compared with least squares ,two dimensional coordinate transformation based on total least squares can improve the precision of transformation and deteriorate it if incorrect by using this method .

关 键 词：二维坐标转换 最小二乘法 总体最小二乘法 误差 

分 类 号：TU198[建筑科学—建筑理论]