Global stereo reconstruction under second order smoothness priors

Second-order priors on the smoothness of 3D surfaces are a better model of typical scenes than first-order priors. However, stereo reconstruction using global inference algorithms, such as graph-cuts, has not been able to incorporate second-order priors because the triple cliques needed to express t...

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Main Authors: Woodford, OJ, Torr, PHS, Reid, ID, Fitzgibbon, AW
Format: Conference item
Language:English
Published: IEEE 2008
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author Woodford, OJ
Torr, PHS
Reid, ID
Fitzgibbon, AW
author_facet Woodford, OJ
Torr, PHS
Reid, ID
Fitzgibbon, AW
author_sort Woodford, OJ
collection OXFORD
description Second-order priors on the smoothness of 3D surfaces are a better model of typical scenes than first-order priors. However, stereo reconstruction using global inference algorithms, such as graph-cuts, has not been able to incorporate second-order priors because the triple cliques needed to express them yield intractable (non-submodular) optimization problems. <br> This paper shows that inference with triple cliques can be effectively optimized. Our optimization strategy is a development of recent extensions to α-expansion, based on the “QPBO” algorithm [5, 14, 26]. The strategy is to repeatedly merge proposal depth maps using a novel extension of QPBO. Proposal depth maps can come from any source, for example fronto-parallel planes as in α-expansion, or indeed any existing stereo algorithm, with arbitrary parameter settings. <br> Experimental results demonstrate the usefulness of the second-order prior and the efficacy of our optimization framework. An implementation of our stereo framework is available online [34].
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spelling oxford-uuid:55aae210-57e2-47aa-acb0-5ff74919aa562024-10-24T15:45:28ZGlobal stereo reconstruction under second order smoothness priorsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:55aae210-57e2-47aa-acb0-5ff74919aa56EnglishSymplectic ElementsIEEE2008Woodford, OJTorr, PHSReid, IDFitzgibbon, AWSecond-order priors on the smoothness of 3D surfaces are a better model of typical scenes than first-order priors. However, stereo reconstruction using global inference algorithms, such as graph-cuts, has not been able to incorporate second-order priors because the triple cliques needed to express them yield intractable (non-submodular) optimization problems. <br> This paper shows that inference with triple cliques can be effectively optimized. Our optimization strategy is a development of recent extensions to α-expansion, based on the “QPBO” algorithm [5, 14, 26]. The strategy is to repeatedly merge proposal depth maps using a novel extension of QPBO. Proposal depth maps can come from any source, for example fronto-parallel planes as in α-expansion, or indeed any existing stereo algorithm, with arbitrary parameter settings. <br> Experimental results demonstrate the usefulness of the second-order prior and the efficacy of our optimization framework. An implementation of our stereo framework is available online [34].
spellingShingle Woodford, OJ
Torr, PHS
Reid, ID
Fitzgibbon, AW
Global stereo reconstruction under second order smoothness priors
title Global stereo reconstruction under second order smoothness priors
title_full Global stereo reconstruction under second order smoothness priors
title_fullStr Global stereo reconstruction under second order smoothness priors
title_full_unstemmed Global stereo reconstruction under second order smoothness priors
title_short Global stereo reconstruction under second order smoothness priors
title_sort global stereo reconstruction under second order smoothness priors
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AT torrphs globalstereoreconstructionundersecondordersmoothnesspriors
AT reidid globalstereoreconstructionundersecondordersmoothnesspriors
AT fitzgibbonaw globalstereoreconstructionundersecondordersmoothnesspriors