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...
Main Authors: | , , , |
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Format: | Conference item |
Language: | English |
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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.
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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.
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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]. |
first_indexed | 2024-12-09T03:16:37Z |
format | Conference item |
id | oxford-uuid:55aae210-57e2-47aa-acb0-5ff74919aa56 |
institution | University of Oxford |
language | English |
last_indexed | 2024-12-09T03:16:37Z |
publishDate | 2008 |
publisher | IEEE |
record_format | dspace |
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 |
work_keys_str_mv | AT woodfordoj globalstereoreconstructionundersecondordersmoothnesspriors AT torrphs globalstereoreconstructionundersecondordersmoothnesspriors AT reidid globalstereoreconstructionundersecondordersmoothnesspriors AT fitzgibbonaw globalstereoreconstructionundersecondordersmoothnesspriors |