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Partial Enumeration and Curvature Regularization

Författare

  • Carl Olsson
  • Johannes Ulén
  • Yuri Boykov
  • Vladimir Kolmogorov

Summary, in English

Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem instances is exhaustive search, that is, enumera- tion of all possible labelings of the underlying graph. We propose a general minimization approach for large graphs based on enumeration of labelings of certain small patches. This partial enumeration technique reduces complex high- order energy formulations to pairwise Constraint Satisfac- tion Problems with unary costs (uCSP), which can be ef- ficiently solved using standard methods like TRW-S. Our approach outperforms a number of existing state-of-the-art algorithms on well known difficult problems (e.g. curvature regularization, stereo, deconvolution); it gives near global minimum and better speed. Our main application of interest is curvature regular- ization. In the context of segmentation, our partial enu- meration technique allows to evaluate curvature directly on small patches using a novel integral geometry approach.

Publiceringsår

2013

Språk

Engelska

Sidor

2936-2943

Publikation/Tidskrift/Serie

Computer Vision (ICCV), 2013 IEEE International Conference on

Dokumenttyp

Konferensbidrag

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Conference name

IEEE International Conference on Computer Vision (ICCV), 2013

Conference date

2013-12-01 - 2013-12-08

Conference place

Sydney, Australia

Status

Published

Forskningsgrupp

  • Mathematical Imaging Group

ISBN/ISSN/Övrigt

  • ISSN: 1550-5499