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  • Most image labeling problems such as segmentation and image reconstruction are fundamentally ill-posed and suffer from ambiguities and noise. Higher order image priors encode high level structural dependencies between pixels and are key to overcoming these problems. However, these priors in general lead to computationally intractable models. This paper addresses the problem of discovering compact representations of higher order priors which allow efficient inference. We propose a framework for solving this problem which uses a recently proposed representation of higher order functions where they are encoded as lower envelopes of linear functions. Maximum a Posterior inference on our learned models reduces to minimizing a pairwise function of discrete variables, which can be done approximately using standard methods. We show that our framework can learn a compact representation that approximates a prior that encourages low curvature shapes. We evaluate the approximation accuracy, discuss properties of the trained model, and demonstrate it on shape inpainting and image segmentation problems.
  • Most image labeling problems such as segmentation and image reconstruction are fundamentally ill-posed and suffer from ambiguities and noise. Higher order image priors encode high level structural dependencies between pixels and are key to overcoming these problems. However, these priors in general lead to computationally intractable models. This paper addresses the problem of discovering compact representations of higher order priors which allow efficient inference. We propose a framework for solving this problem which uses a recently proposed representation of higher order functions where they are encoded as lower envelopes of linear functions. Maximum a Posterior inference on our learned models reduces to minimizing a pairwise function of discrete variables, which can be done approximately using standard methods. We show that our framework can learn a compact representation that approximates a prior that encourages low curvature shapes. We evaluate the approximation accuracy, discuss properties of the trained model, and demonstrate it on shape inpainting and image segmentation problems. (en)
Title
  • Curvature Prior for MRF-based Segmentation and Shape Inpainting
  • Curvature Prior for MRF-based Segmentation and Shape Inpainting (en)
skos:prefLabel
  • Curvature Prior for MRF-based Segmentation and Shape Inpainting
  • Curvature Prior for MRF-based Segmentation and Shape Inpainting (en)
skos:notation
  • RIV/68407700:21230/12:00200404!RIV13-MSM-21230___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(7E10044)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Shekhovtsov, Oleksandr
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 129300
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/12:00200404
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • image labeling; segmentation; shape Inpainting; MFR (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [217E5D33D003]
http://linked.open...v/mistoKonaniAkce
  • Graz
http://linked.open...i/riv/mistoVydani
  • Heidelberg
http://linked.open...i/riv/nazevZdroje
  • DAGM/OAGM 2012: Pattern Recognition - Joint 34th DAGM and 36th OAGM Symposium
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Shekhovtsov, Oleksandr
  • Kohli, P.
  • Rother, C.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-32716-2
http://localhost/t...ganizacniJednotka
  • 21230
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