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Applications of parametric maxflow in computer vision

Kolmogorov, V; Boykov, Y; Rother, C; (2007) Applications of parametric maxflow in computer vision. In: 2007 IEEE 11TH INTERNATIONAL CONFERENCE ON COMPUTER VISION, VOLS 1-6. (pp. 644 - 651). IEEE

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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 functionals, such as flux of a vector field over length (or area). Previously, such functionals 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.

Type: Proceedings paper
Title: Applications of parametric maxflow in computer vision
Event: 11th IEEE International Conference on Computer Vision
Location: Rio de Janeiro, BRAZIL
Dates: 2007-10-14 - 2007-10-21
ISBN-13: 978-1-4244-1630-1
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/123736
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