Recursive total least squares algorithm for image reconstruction from noisy, undersampled frames

1993 ◽  
Vol 4 (3) ◽  
pp. 253-268 ◽  
Author(s):  
N. K. Bose ◽  
H. C. Kim ◽  
H. M. Valenzuela
Keyword(s):  
Image Reconstruction ◽  
Least Squares ◽  
Total Least Squares ◽  
Least Squares Algorithm

Position Estimation of Single Camera Visual System Based on Total Least Squares Algorithm

2012 ◽  
Vol 239-240 ◽  
pp. 1352-1355
Author(s):  
Jing Zhou ◽  
Yin Han Gao ◽  
Chang Yin Liu ◽  
Ji Zhi Li
Keyword(s):  
Visual System ◽  
Least Squares ◽  
Total Least Squares ◽  
Position Estimation ◽  
Feature Points ◽  
Perspective Theory ◽  
Optical Feature ◽  
The Matrix ◽  
Least Squares Algorithm ◽  
Set Up

The position estimation of optical feature points of visual system is the focus factor of the precision of system. For this problem , to present the Total Least Squares Algorithm . Firstly , set up the measurement coordinate system and 3D model between optical feature points, image points and the position of camera according to the position relation ; Second , build the matrix equations between optical feature points and image points ; Then apply in the total least squares to have an optimization calculation ; Finally apply in the coordinate measuring machining to have a simulation comparison experiment , the results indicate that the standard tolerance of attitude coordinate calculated by total least squares is 0.043mm, it validates the effectiveness; Compare with the traditional method based on three points perspective theory, measure the standard gauge of 500mm; the standard tolerance of traditional measurement system is 0.0641mm, the standard tolerance of Total Least Squares Algorithm is 0.0593mm; The experiment proves the Total Least Squares Algorithm is effective and has high precision.

A fast recursive total least squares algorithm for adaptive IIR filtering

2005 ◽  
Vol 53 (3) ◽  
pp. 957-965 ◽  
Author(s):  
Dong-Xia Chang ◽  
Da-Zheng Feng ◽  
Wei-Xing Zheng ◽  
Lei Li
Keyword(s):  
Least Squares ◽  
Total Least Squares ◽  
Least Squares Algorithm
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