Multiple View Geometry Under the L-infinity Norm
Author
Summary, in English
This paper presents a new framework for solving geometric structure and motion problems based on the L-infinity-norm. Instead of using the common sum-of-squares cost function, that is, the L-2-norm, the model-fitting errors are measured using the L-infinity-norm. Unlike traditional methods based on L-2, our framework allows for the 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.
Department/s
Publishing year
2008
Language
English
Pages
1603-1617
Publication/Series
IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume
30
Issue
9
Document type
Journal article
Publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
Topic
- Mathematics
Status
Published
ISBN/ISSN/Other
- ISSN: 1939-3539