A Structured Total Least Squares Algorithm for Spatial Straight Line Fitting

摘要

A general function model of spatial straight line is established according to its linear parametric equation. And a structured total least squares algorithm for spatial straight line fitting is investigated in this paper, not only taking into account the errors caused by X, Y, Z three directions and the results impacted by constant columns in the coefficient matrix, but also considering the repeating elements of the coefficient matrix get the same corrections in different locations .The example given in this contribution illustrates that the efficiency and feasibility of this algorithm.