大地测量与地球动力学2018，Vol.38Issue(1)：92-96,5.DOI:10.14075/j.jgg.2018.01.020
求解球面拟合的改进总体最小二乘算法
An Improved Total Least Squares Algorithm for Solving Sphere Surface Fitting
摘要
Abstract
In sphere surface fitting,the errors in the coefficient matrix and observation vector are from the same place,which is the coordinate of the spherical point.The same elements exist in different places.These same elements ought to have the same corrections.The linear form appears in the observation vector.Therefore,an improved total least squares algorithm is deduced which can overcome the above problems.Through analysis of examples,we discover that the parameters obtained from the method in the paper are more reliable.This demonstrates that the method is feasible and effective.关键词
球面拟合/非线性总体最小二乘/线性化/总体最小二乘Key words
sphere surface fitting/nonlinear total least squares/linearization/total least squares分类
天文与地球科学引用本文复制引用
陶武勇,鲁铁定,吴飞,李丁..求解球面拟合的改进总体最小二乘算法[J].大地测量与地球动力学,2018,38(1):92-96,5.基金项目
国家自然科学基金(41204003,41374007,41464001) （41204003,41374007,41464001）
测绘地理信息公益性行业科研专项(201512026) （201512026）
江西省教育厅科技项目(KJLD12077,GJJ13457) （KJLD12077,GJJ13457）
中国博士后科学基金(2012M511962) （2012M511962）
江西省中青年教师发展计划访问学者专项(2012132) （2012132）
江西省远航工程计划(2013).National Natural Science Foundation of China,No.41204003,41374007,41464001 （2013）
Commonweal Research Project on Surveying and Geo-Informatics,No.201512026 （）
Science and Technology Project of the Education Department of Jiangxi Province,No.KJLD12077,GJJ13457 （）
China Postdoctoral Science Foundation,No.2012M511962 （）
Special Visiting Scholar Project of Faculty Development of Jiangxi Province,No.2012132 （）
Voyage Project of Jiangxi Province,No.2013. （）
