Title
An Algebraic Approach to Lens Distortion by Line Rectification
Abstract
A very important property of the usual pinhole model for camera projection is that 3D lines in the scene are projected in 2D lines. Unfortunately, wide-angle lenses (specially low-cost lenses) may introduce a strong barrel distortion which makes the usual pinhole model fail. Lens distortion models try to correct such distortion. In this paper, we propose an algebraic approach to the estimation of the lens distortion parameters based on the rectification of lines in the image. Using the proposed method, the lens distortion parameters are obtained by minimizing a 4 total-degree polynomial in several variables. We perform numerical experiments using calibration patterns and real scenes to show the performance of the proposed method.
Year
DOI
Venue
2009
10.1007/s10851-009-0153-2
Journal of Mathematical Imaging and Vision
Keywords
Field
DocType
Radial lens distortion,Edge line rectification,Linear regression,Algebraic approach,Minimal residual variance
Distortion (optics),Computer vision,Rectification,Algebraic number,Polynomial,Lens (optics),Artificial intelligence,Distortion,Calibration,Mathematics,Linear regression
Journal
Volume
Issue
ISSN
35
1
0924-9907
Citations 
PageRank 
References 
32
1.32
8
Authors
3
Name
Order
Citations
PageRank
L. Alvarez128539.37
Luis Gómez2494.90
J. Rafael Sendra362168.33