Paper Info
Title
A new evaluation criterion for point correspondences in stereo images
Abstract
In this paper, we present a new criterion to evaluate point correspondences within a stereo setup. Many applications such as stereo matching, triangulation, lens distortion correction, and camera calibration require an evaluation criterion, indicating how well point correspondences fit to the epipolar geometry. The common criterion here is the epipolar distance. Since the epipolar geometry is often derived from noisy and partially corrupted data, an uncertainty regarding the estimation of the epipolar distance arises. However, the uncertainty of the epipolar geometry, in the shape of the covariance matrix of an epipolar line, provides additional information, and our approach utilizes this information for a new distance measure. The basic idea behind our criterion is to determine the most probable epipolar geometry that explains the point correspondence in the two views. Furthermore, we show that using Lagrange multipliers, this constrained minimization problem can be reduced to solving a set of three linear equations.
Year
DOI
Venue
2010
10.1007/978-1-4614-3831-1_11
Image Analysis for Multimedia Interactive Services
Keywords
Field
DocType
calibration,covariance matrices,image matching,stereo image processing,Lagrange multipliers,camera calibration,covariance matrix,epipolar distance,epipolar geometry,lens distortion correction,point correspondences,stereo images,stereo matching,triangulation
Distortion (optics),Computer vision,Triangulation (computer vision),Epipolar geometry,Lagrange multiplier,Computer science,Camera resectioning,Triangulation (social science),Artificial intelligence,Covariance matrix,Fundamental matrix (computer vision)
Conference
ISBN
Citations 
PageRank 
978-88-905328-0-1
2
0.36
References 
Authors
11
2
Name
Order
Citations
PageRank
Michael Unger120.36
Aleksandar Stojanovic2815.01