A convex method to minimal problems for fundamental matrix estimation with radial distortion

2018 ◽  
Author(s):  
Zhang Zuoluo ◽  
Liao Qingmin ◽  
Lu Zongqing
Keyword(s):  
Fundamental Matrix ◽  
Matrix Estimation ◽  
Radial Distortion ◽  
Minimal Problems

scholarly journals A ROBUST METHOD FOR FUNDAMENTAL MATRIX ESTIMATION WITH RADIAL DISTORTION

2018 ◽  
Vol XLII-3 ◽  
pp. 2029-2033
Author(s):  
J.-S. Xue ◽  
X.-N. Chen ◽  
H. Yi
Keyword(s):  
Fundamental Matrix ◽  
Coefficient Matrix ◽  
Estimation Result ◽  
Robust Method ◽  
Matrix Estimation ◽  
Radial Distortion ◽  
Nonlinear Minimization ◽  
Weighted Matrix ◽  
Value Decomposition ◽  
Core Part

Fundamental Matrix Estimation is of vital importance in many vision applications and is a core part of 3D reconstruction pipeline. Radial distortion makes the problem to be numerically challenging. We propose a novel robust method for radial fundamental matrix estimation. Firstly, two-sided radial fundamental matrix is deduced to describe epipolar geometry relationship between two distorted images. Secondly, we use singular value decomposition to solve the final nonlinear minimization solutions and to get the outliers removed by multiplying a weighted matrix to the coefficient matrix. In every iterative step, the criterion which is the distance between feature point and corresponding epipolar line is used to determine the inliers and the weighted matrix is update according to it. The iterative process has a fast convergence rate, and the estimation result of radial fundamental matrix remains stable even at the condition of many outliers. Experimental results prove that the proposed method is of high accuracy and robust for estimating the radial fundamental matrix. The estimation result of radial fundamental matrix could be served as the initialization for structure from motion.

Method for Fundamental Matrix Estimation Combined with Line Features

2013 ◽  
Vol 33 (10) ◽  
pp. 1015003
Author(s):  
周凡 Zhou Fan ◽  
邵世维 Shao Shiwei ◽  
吴建华 Wu Jianhua ◽  
付仲良 Fu Zhongliang
Keyword(s):  
Fundamental Matrix ◽  
Matrix Estimation ◽  
Line Features
Sign in / Sign up

Export Citation Format

Share Document