Total Least Squares Algorithm for Fitting Spatial Straight LinesChinese Full Text
YAO Yibin;HUANG Shuhua;KONG Jian;HE Junquan;School of Geodesy and Geomatics,Wuhan University;Ohio State University School of Earth Science;Reconnaissance Mapping Research Institute of Wenzhou;
Abstract: To address the problem of fitting a straight line in three-dimensional space,since the equation is a six parameter equation,not a simple linear relationship,the traditional least squares method cannot be used to solve it.In this paper,a new method of space line based on the total least squares is proposed.Firstly,the number of parameters was decreased from six to four by changing the standard equation of the straight line,then re-expressed the equation in the form of a matrix.Therefore,the fitting problem was transformed to the parameter-solving problem in total least squares.Further,the fitting four parameters were obtained using a TLS iteration,and the six parameters of the space lines were recovered through a backtracking method.An experiment in the paper verifies the effectiveness and applicability of the new method.
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- DOI：
10.13203/j.whugis20120104
- Series：
- Subject：
- Classification Code：
TP391.7
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