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Content Provider | IEEE Xplore Digital Library |
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Author | Kolmogorov, V. Boykov, Y. Rother, C. |
Copyright Year | 2007 |
Description | Author affiliation: Univ. Coll. London, London (Kolmogorov, V.) |
Abstract | The maximum flow algorithm for minimizing energy functions of binary variables has become a standard tool in computer vision. In many cases, unary costs of the energy depend linearly on parameter lambda. In this paper we study vision applications for which it is important to solve the maxflow problem for different lambda's. An example is a weighting between data and regularization terms in image segmentation or stereo: it is desirable to vary it both during training (to learn lambda from ground truth data) and testing (to select best lambda using high-knowledge constraints, e.g. user input). We review algorithmic aspects of this parametric maximum flow problem previously unknown in vision, such as the ability to compute all breakpoints of lambda and corresponding optimal configurations infinite time. These results allow, in particular, to minimize the ratio of some geometric functional, such as flux of a vector field over length (or area). Previously, such functional were tackled with shortest path techniques applicable only in 2D. We give theoretical improvements for "PDE cuts" [5]. We present experimental results for image segmentation, 3D reconstruction, and the cosegmentation problem. |
Starting Page | 1 |
Ending Page | 8 |
File Size | 1552277 |
Page Count | 8 |
File Format | |
ISBN | 9781424416301 |
ISSN | 15505499 |
DOI | 10.1109/ICCV.2007.4408910 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2007-10-14 |
Publisher Place | Brazil |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Application software Computer vision Image segmentation Testing Image reconstruction Educational institutions Costs Stereo vision Image restoration Minimization methods |
Content Type | Text |
Resource Type | Article |
Subject | Computer Vision and Pattern Recognition Software |
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