期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

加权总体最小二乘平差方法的比较与分析 被引量：5

The comparison and analysis of three weighted total least-squares methods
下载PDF
导出
摘要 介绍了求解加权总体最小二乘问题的Schaffrin-Wieser算法和Mahboub算法以及Amiri-Simkooei算法,通过MATLAB软件编程进行数值模拟实验比较了三种方法在近似垂直、近似水平和普通直线拟合中的应用以及在二维坐标转换参数求解中的应用,并分析了三种算法的区别与联系。 The Schaffrin-Wieser algorithm, Mahhoub algorithm and Amiri-Simkooei algorithm were introduced in this paper to solve the weighted total least-squares problems （WLTS）. And numerical simulation experiments were proposed by using MATLAB software to compare the application of three methods on the straight line fitting and two dimension coordinate transformation. Furthermore, the distinctions and relations of the three methods were analyzed as well.
作者 许光煜 王乐洋
机构地区 东华理工大学测绘工程学院
出处 《工程勘察》 2014年第6期67-72,共6页 Geotechnical Investigation & Surveying
基金 国家自然科学基金(41204003 41304020) 江西省自然科学基金(20132BAB216004) 江西省教育厅项目(GJJ13456) 地理空间信息工程国家测绘地理信息局重点实验室经费资助项目(201308) 东华理工大学博士科研启动金(DHBK201113) 东华理工大学研究生创新专项资金资助项目(DYCA13001)
关键词 加权总体最小二乘 直线拟合 迭代算法 坐标转换 weighted total least-squares line fitting iterative algorithm datum transformation
分类号 TD172.3 [矿业工程—矿山地质测量]
  • 相关文献

参考文献5

  • 1Golub H G and Van Loan F C. An analysis of the total least squares problem [ J ]. SIAM Journal on Numerical Analysis, 1980, 17 (6): 883-893.
  • 2Schaffrin B and Wieser A. On weighted total least-squares adjustment for linear regression [ J]. Journal of Geodesy, 2008, 82 (7) : 415 -421.
  • 3Vahid Mahboub. On weighted total least-squares for geodetic transformations [ J ]. Journal of Geodesy, 2012, 86 ( 5 ) : 359 - 367.
  • 4A. Amiri-Simkooei, S. Jazaeri. Weighted Total Least Squares Formulated By Standard Least Squares Theory [ J]. Journal of Geodetic science, 2012, 2 (2) : 113 -124.
  • 5杨仕平,范东明,龙玉春.加权整体最小二乘算法的改进[J].大地测量与地球动力学,2013,33(1):48-52. 被引量：10

二级参考文献12

  • 1袁庆,楼立志,陈玮娴.加权总体最小二乘在三维基准转换中的应用[J].测绘学报,2011,40(S1):115-119. 被引量：45
  • 2Golub G H and van Loan. An analysis of the total least-squares problem[ J]. SIAM J Numer Anal. ,1980,17 :883 -893.
  • 3Schaffrin B and Wieser A. On weighted total least - squaresadjustment for linear regression [ J ]. J Geodes.,2008,82(7):415 - 421.
  • 4Schaffrin B and Felus Y A. On the multivariate total leastsquares approach to empirical coordinate transformation [ J ].J Geodes. ,2008,82(6) :373 -383.
  • 5Schaffrin B and Felus Y A. A multivariate total least-squaresadjustment for empirical affine transformations [ J ]. Interna-tional Association of Geodesy Symposia, 2008 ,132( 3 ) :238-242.
  • 6Shen Y Z,Li B F and Chen Y. An iterative solution of weigh-ted total least-squares adjustment [ J ]. Journal of Geodesy,2010,85(4) :229 -238.
  • 7Vahid Mahboub. On weighted total least - squares for geo-detic transfor mations [ J ]. J Geod.,2012,86 ( 5 ) ; 359 -367.
  • 8Neri F, Saitta G and Chiofalo S. Accurate and straightfor-ward approach to line regression analysis of error-affectedexperimental data[ J]. Phys E. , 1989,22(4) :215 - 217.
  • 9丁克良,欧吉坤,陈义.整体最小二乘法及其在测量数据处理中的应用[A].中国测绘学会第九次全国会员代表大会暨学会成立50周年纪念大会论文集[C]. 2009,399-405.
  • 10陆珏,陈义,郑波.总体最小二乘方法在三维坐标转换中的应用[J].大地测量与地球动力学,2008,28(5):77-81. 被引量：81

共引文献9

同被引文献46

  • 1孔祥元 梅是义.控制测量学[M].武汉：武汉测绘科技大学出版社,1996..
  • 2Golub G, Van Loan C. An analysis of total least squares problem [J]. SIAM Journal on Numerical Analysis, 1980, 17 (6): 883 -893.
  • 3Sehaffrln B, Wieser A. On weighted total least-square adjustment for liner regression [ J]. Journal of Geodesy, 2008, 82 (7): 415 -421.
  • 4Amiri-Simkooei A R, Jazaeri S. Weighted total least squares formulated by standard least squares Theory [ J ]. Journal of Geodesy, 2012, 2 (2) : 113- 124.
  • 5Viahid Mahboub. On weighted total least-squares for geodetic transformations [J]. Journal of Geodesy, 2012, 86 (5): 359 -367.
  • 6Jazaeri S, Amiri-Simkooei A R, Sharifi M A. Iterative algorithm for weighted total least squares adjustment [ J]. SurveyReview, 2014, 46 (334): 19-27.
  • 7Soudafissanane S, Lindenhergh R, Menmenti M, et al. Scanning geometry: Influencing factor on the quality of terrestrial laser scanning points [ J]. ISPRS Journal of Photogrammertry and Remote Sensing, 2011, 66 (4): 389-399.
  • 8XU P L,LIU J N,SHI C. Total Least Squares Adjust- ment in Partial Errors-in-variables Models: Algorthm and Statistical Analysis[J]. Journal of Geodesy, 2012, 86(8) :661-675.
  • 9SHEN Yunzhong, LI Bofeng, CHEN Yi. An iterative solution of weighted total least-squares adjustment[J]. 2011,85:229-238.
  • 10C, OLUB G H, HANSEN P C, O' LEARY D P. Tik- honov Regularization and Total Least Squares[J]. Siam J. matrix Anal. appl, 1999,21(1): prigs. 185-194.

引证文献5

二级引证文献43

工程勘察
2014年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部