测绘科学技术学报Issue(5)：481-485,5.DOI:10.3969/j.issn.1673-6338.2014.05.009
多元总体最小二乘在大旋转角三维坐标转换中的应用
Application of Multivariate Total Least Squares Method in Three-Dimension Coordinate Conversion with Large Rotation Angle
摘要
Abstract
Due to the negligence to the random errors in the application of coordinate transformation, some defects can be found in the traditional method based on the Seven Parameters of Bursa Model. And the method of multiva-riate total least squares based on the Errors-In-Variabals Model overcomes such deficiencies to some extent, which not only considers the coefficient matrix and the observed value but also dramatically simplifies calculation proce-dures by solving the matrix of coordinate transformation with Singular Value Decomposition ( SVD) , not needing it-erative computation.A conversion algorithm based on the formula derivation of multivariate total least squares is de-sign in this paper, and some virtual data are also applied to testify its effectiveness in three-dimensional datum transformation with big rotation angle. The verification demonstrates that the multivariate total least squares has a more efficient performance in precision computation than the least squares based on Gauss-Markov ( GM) model.关键词
大角度坐标转换/EIV模型/多元总体最小二乘/奇异值分解/GM模型Key words
coordinate transformation with large rotation angle/Errors-In-Variabals model/multivariate total least squares/singular value decomposition/Gauss-Markov model分类
天文与地球科学引用本文复制引用
孙大双,张友阳,黄令勇,石事超,吕志平..多元总体最小二乘在大旋转角三维坐标转换中的应用[J].测绘科学技术学报,2014,(5):481-485,5.基金项目
国家自然科学基金项目(41274015)；国家863计划项目(2013AA122501)。 （41274015）
