Title
Projective rectification from the fundamental matrix
Abstract
This paper describes a direct, self-contained method for planar image rectification of stereo pairs. The method is based solely on an examination of the Fundamental matrix, where an improved method is given for the derivation of two projective transformations that horizontally align all the epipolar projections. A novel approach is proposed to uniquely optimise each transform in order to minimise perspective distortions. This ensures the rectified images resemble the original images as closely as possible. Detailed results show that the rectification precision exactly matches the estimation error of the Fundamental matrix. In tests the remaining perspective distortion offers on average less than one percent viewpoint distortion. Both these factors offer superior robustness and performance compared with existing techniques.
Year
DOI
Venue
2005
10.1016/j.imavis.2005.03.002
Image Vision Comput.
Keywords
Field
DocType
perspective distortion,self-contained method,epipolar projection,homography,planar image rectification,stereo vision,fundamental matrix,improved method,detailed result,percent viewpoint distortion,distortion minimisation,remaining perspective distortion,projective rectification,rectification precision,image processing
Computer vision,Perspective distortion,Essential matrix,Epipolar geometry,Image rectification,Homography,Artificial intelligence,Distortion,Fundamental matrix (computer vision),Mathematics,Homography (computer vision)
Journal
Volume
Issue
ISSN
23
7
Image and Vision Computing
Citations 
PageRank 
References 
21
1.25
10
Authors
2
Name
Order
Citations
PageRank
John Mallon1977.88
Paul F. Whelan256139.95