{"id":"https://openalex.org/W1543701608","doi":"https://doi.org/10.1109/iccv.2009.5459356","title":"A probabilistic framework for partial intrinsic symmetries in geometric data","display_name":"A probabilistic framework for partial intrinsic symmetries in geometric data","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W1543701608","doi":"https://doi.org/10.1109/iccv.2009.5459356","mag":"1543701608"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2009.5459356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077382243","display_name":"Ruxandra Lasowski","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ruxandra Lasowski","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","University of Saarland, Saarbruecken, Germany","Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"University of Saarland, Saarbruecken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032171816","display_name":"Art Tevs","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Art Tevs","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","International Max Planck Research School, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"International Max Planck Research School, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058028526","display_name":"Hans\u2010Peter Seidel","orcid":"https://orcid.org/0000-0002-1343-8613"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-Peter Seidel","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020719193","display_name":"Michael Wand","orcid":"https://orcid.org/0000-0003-0966-7824"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Wand","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","University of Saarland, Saarbruecken, Germany","Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbruecken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"University of Saarland, Saarbruecken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077382243"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210109712","https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":0.3502,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60168726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"963","last_page":"970"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7088097333908081},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.6126394867897034},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5992815494537354},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5434442162513733},{"id":"https://openalex.org/keywords/markov-random-field","display_name":"Markov random field","score":0.5352613925933838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5048568844795227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5013749599456787},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4550555348396301},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4519389569759369},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.45070382952690125},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43906116485595703},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42669880390167236},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4135437607765198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39998626708984375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29183414578437805},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22340154647827148},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12353712320327759},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09561851620674133},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.08865293860435486}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7088097333908081},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.6126394867897034},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5992815494537354},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5434442162513733},{"id":"https://openalex.org/C2778045648","wikidata":"https://www.wikidata.org/wiki/Q176827","display_name":"Markov random field","level":4,"score":0.5352613925933838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5048568844795227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5013749599456787},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4550555348396301},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4519389569759369},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.45070382952690125},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43906116485595703},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42669880390167236},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4135437607765198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39998626708984375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29183414578437805},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22340154647827148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12353712320327759},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09561851620674133},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.08865293860435486},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/iccv.2009.5459356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459356","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.229.2193","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.229.2193","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-sb.mpg.de/%7Elasowski/download/ICCV09.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:520478","is_oa":false,"landing_page_url":"http://edoc.mpg.de/520478","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cipolla, Roberto; Hebert, Martial; Tang, Xiaoou; Yokoya, Naokazu: 12th International Conference on Computer Vision (ICCV), IEEE Computer Society, 963-970 (2009)","raw_type":"Conference-Paper"},{"id":"pmh:oai:pure.mpg.de:item_1324272","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-197A-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2009 IEEE 12th International Conference on Computer Vision","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:1543701608","is_oa":false,"landing_page_url":"http://pubman.mpdl.mpg.de/pubman/item/escidoc:1324272","pdf_url":null,"source":{"id":"https://openalex.org/S4306533943","display_name":"Untitled Event","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Untitled Event","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1537492940","https://openalex.org/W2005276292","https://openalex.org/W2026935851","https://openalex.org/W2060206980","https://openalex.org/W2099606917","https://openalex.org/W2106627486","https://openalex.org/W2117228145","https://openalex.org/W2125517557","https://openalex.org/W2140935196","https://openalex.org/W2145524482","https://openalex.org/W2153278369","https://openalex.org/W2155957710","https://openalex.org/W2158697242","https://openalex.org/W2160594803","https://openalex.org/W2162250282","https://openalex.org/W2162411291","https://openalex.org/W2167925415","https://openalex.org/W4245380116","https://openalex.org/W4297792443","https://openalex.org/W6682654567","https://openalex.org/W6683919018"],"related_works":["https://openalex.org/W2161420750","https://openalex.org/W2984259753","https://openalex.org/W3205900445","https://openalex.org/W2625334494","https://openalex.org/W2808058004","https://openalex.org/W2976703431","https://openalex.org/W2950688354","https://openalex.org/W2209806915","https://openalex.org/W2949570727","https://openalex.org/W2536457637","https://openalex.org/W2951868652","https://openalex.org/W2952035879","https://openalex.org/W2013674492","https://openalex.org/W3015846080","https://openalex.org/W2765784531","https://openalex.org/W2192495397","https://openalex.org/W1491558637","https://openalex.org/W3091114147","https://openalex.org/W137798547","https://openalex.org/W2952401404"],"abstract_inverted_index":{"In":[0],"this":[1,68,80,98],"paper,":[2],"we":[3,42,76,108],"present":[4],"a":[5,24,37,44,53,102,132,137],"novel":[6],"algorithm":[7,20,124],"for":[8],"partial":[9,32],"intrinsic":[10,50],"symmetry":[11,60,91,141],"detection":[12,142],"in":[13,117],"3D":[14,128],"geometry.":[15],"Unlike":[16],"previous":[17],"work,":[18],"our":[19,123],"is":[21,74],"based":[22,35],"on":[23,36,105,125],"conceptually":[25],"simple":[26],"and":[27,87,139],"straightforward":[28],"probabilistic":[29,134],"formulation":[30],"of":[31,52,62,79,114],"shape":[33,54],"matching:":[34],"Markov":[38],"random":[39],"field":[40],"model,":[41],"obtain":[43],"probability":[45],"distribution":[46,71,81],"over":[47],"all":[48],"possible":[49],"matches":[51],"to":[55,111],"itself,":[56],"which":[57,73],"reveals":[58],"the":[59,63,90],"structure":[61],"object.":[64],"Rather":[65],"than":[66],"examining":[67],"exponentially":[69],"sized":[70],"directly,":[72],"infeasible,":[75],"approximate":[77],"marginals":[78],"using":[82],"sum-product":[83],"loopy":[84],"belief":[85],"propagation":[86],"show":[88],"how":[89],"information":[92],"can":[93],"subsequently":[94],"be":[95],"extracted":[96],"from":[97],"condensed":[99],"representation.":[100],"Using":[101],"parallel":[103],"implementation":[104],"graphics":[106],"hardware,":[107],"are":[109],"able":[110],"extract":[112],"symmetries":[113],"deformable":[115],"shapes":[116],"general":[118,140],"poses":[119],"efficiently.":[120],"We":[121],"apply":[122],"several":[126],"standard":[127],"models,":[129],"demonstrating":[130],"that":[131],"concise":[133],"model":[135],"yields":[136],"practical":[138],"algorithm.":[143]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-02-26T08:16:20.718346","created_date":"2025-10-10T00:00:00"}
