NDLI: Fast algorithms for L∞ problems in multiview geometry

Content Provider	IEEE Xplore Digital Library
Author	Agarwal, S. Snavely, N. Seitz, S.M.
Copyright Year	2008
Description	Author affiliation: Univ. of Washington, Seattle, WA (Agarwal, S.; Snavely, N.; Seitz, S.M.)
Abstract	Many problems in multi-view geometry, when posed as minimization of the maximum reprojection error across observations, can be solved optimally in polynomial time. We show that these problems are instances of a convex-concave generalized fractional program. We survey the major solution methods for solving problems of this form and present them in a unified framework centered around a single parametric optimization problem. We propose two new algorithms and show that the algorithm proposed by Olsson et al. [21] is a special case of a classical algorithm for generalized fractional programming. The performance of all the algorithms is compared on a variety of datasets, and the algorithm proposed by Gugat [12] stands out as a clear winner. An open source MATLAB toolbox that implements all the algorithms presented here is made available.
Starting Page	1
Ending Page	8
File Size	263735
Page Count	8
File Format	PDF
ISBN	9781424422425
ISSN	10636919
DOI	10.1109/CVPR.2008.4587713
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimization methods Geometry Large-scale systems Cameras MATLAB Motion estimation Minimization methods Polynomials Heart Minimax techniques
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

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