Title
Practical error analysis of cross-ratio-based planar localization
Abstract
Recently, more and more computer vision researchers are paying attention to error analysis so as to fulfill various accuracy requirements arising from different applications. As a geometric invariant under projective transformations, cross-ratio is the basis of many recognition and reconstruction algorithms which are based on projective geometry. We propose an efficient way of analyzing localization error for computer vision systems which use cross-ratios in planar localization. By studying the inaccuracy associated with cross-ratio-based computations, we inspect the possibility of using linear transformation to approximate localization error due to 2-D noises of image extraction for reference points. Based on such a computationally efficient analysis, a practical way of choosing point features in an image so as to establish the probabilistically most accurate planar location system using crossratios is developed.
Year
DOI
Venue
2007
10.1007/978-3-540-77129-6_62
PSIVT
Keywords
Field
DocType
cross-ratio-based planar localization,computer vision researcher,image extraction,accurate planar location system,projective geometry,computationally efficient analysis,computer vision system,error analysis,practical error analysis,planar localization,localization error,approximate localization error,linear transformation,computer vision,error ellipse,cross ratio
Computer vision,Projective geometry,Computer science,Cross-ratio,Planar,Artificial intelligence,Linear map,Invariant (mathematics),Image extraction,Location systems,Computation
Conference
Volume
ISSN
ISBN
4872
0302-9743
3-540-77128-X
Citations 
PageRank 
References 
1
0.35
15
Authors
4
Name
Order
Citations
PageRank
Jen-Hui Chuang136342.28
Jau Hong Kao2344.81
Horng-Horng Lin31469.01
Yu-Ting Chiu4558.52