Correlation of coordinate transformation
parameters
Du
Lan1,Zhang
Hanwei2,Zhou Qingyong1and Wang
Ruopu11Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China
【摘 要】Abstract:Coordinate transformation parameters between two spatial Cartesian coordinate systems can be solved from the positions of non-colinear corresponding points.Based on the characteristics of translation,rotation and zoom components of the transformation,the complete solution is divided into three steps.Firstly,positional vectors are regulated with respect to the centroid of sets of points in order to separate the translation components.Secondly,the scale coefficient and rotation matrix are derived from the regulated positions independently
and
correlations
among
transformation
model
parameters are analyzed.It is indicated that this method is applicable to other sets of non-position data to separate the respective attributions for transformation parameters.
【期刊名称】大地测量与地球动力学(英文版) 【年(卷),期】2012(003)001 【总页数】5
【关键词】Key words:coordinate transformation model;Bursa model;orthnormal
matrix;singular
value
decomposition