Computer vision measurement new algorithm and  uncertainty evaluation
                
                        
                        J. YANG1,*
                            ,
                        
                        N. G. LU2
                        
                    
                    Affiliation
                    
                        
                        - Department of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100081, China
 
                        
                        - Electronic and Information Engineering, Beijing Information Science and Technology University, Beijing 100192, China
 
                        
                    
                     
        
        Abstract
        Usually, engineers use the least square method to solve the equation group in machine vision measurement task. By algebra 
principle, the least square method is inefficient for linear correlated variable. In this case, big error exists in the measuring 
result. In some machine vision task, people only want to know the depth information. In order to solve those problems, this 
paper proposed new method based on the parametric equation originally. Use parametric equation to define the machine 
vision system model and define scene points as quaternion. We can calculate the depth information by decomposing the 
equation group. And evaluation of variance is easier by this equation. Meanwhile, in order to illustrate the variance this paper 
use Hough transform to the equations. The line in the original coordinate system will change to a point in another coordinate 
system. Many points fit a line to denote a point in the original coordinate system. The experiment in the end proves the 
algorithm effective.
        Keywords
        Machine vision measurement, Three-dimensional reconstruction, Error analysis, Uncertainty.
        Citation
        J. YANG, N. G. LU, Computer vision measurement new algorithm and  uncertainty evaluation, Optoelectronics and Advanced Materials - Rapid Communications, 2, 12, December 2008, pp.758-762 (2008).
        Submitted at: Nov. 5, 2008
 
        Accepted at: Dec. 4, 2008