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Multiple-view geometry under the Linfinity-norm.

Authors :
Kahl F
Hartley R
Source :
IEEE transactions on pattern analysis and machine intelligence [IEEE Trans Pattern Anal Mach Intell] 2008 Sep; Vol. 30 (9), pp. 1603-17.
Publication Year :
2008

Abstract

This paper presents a new framework for solving geometric structure and motion problems based on Linfinity-norm. Instead of using the common sum-of-squares cost-function, that is, the L2-norm, the model-fitting errors are measured using the L-norm. Unlike traditional methods based on L2, our framework allows for efficient computation of global estimates. We show that a variety of structure and motion problems, for example, triangulation, camera resectioning and homography estimation can be recast as quasi-convex optimization problems within this framework. These problems can be efficiently solved using Second-Order Cone Programming (SOCP) which is a standard technique in convex optimization. The methods have been implemented in Matlab and the resulting toolbox has been made publicly available. The algorithms have been validated on real data in different settings on problems with small and large dimensions and with excellent performance.

Details

Language :
English
ISSN :
0162-8828
Volume :
30
Issue :
9
Database :
MEDLINE
Journal :
IEEE transactions on pattern analysis and machine intelligence
Publication Type :
Academic Journal
Accession number :
18617718
Full Text :
https://doi.org/10.1109/TPAMI.2007.70824