{"id":"https://openalex.org/W2620879480","doi":"https://doi.org/10.1109/tpami.2017.2711607","title":"Deformation Based Curved Shape Representation","display_name":"Deformation Based Curved Shape Representation","publication_year":2017,"publication_date":"2017-06-02","ids":{"openalex":"https://openalex.org/W2620879480","doi":"https://doi.org/10.1109/tpami.2017.2711607","mag":"2620879480","pmid":"https://pubmed.ncbi.nlm.nih.gov/28613161"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2017.2711607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2017.2711607","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbilu.uni.lu/handle/10993/31351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084574919","display_name":"Girum Demisse","orcid":"https://orcid.org/0000-0001-7068-1604"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Girum Getachew Demisse","raw_affiliation_strings":["Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0001-7068-1604","affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083368272","display_name":"Djamila Aouada","orcid":"https://orcid.org/0000-0002-7576-2064"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Djamila Aouada","raw_affiliation_strings":["Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0002-7576-2064","affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080037825","display_name":"Bj\u00f6rn Ottersten","orcid":"https://orcid.org/0000-0003-2298-6774"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Bj\u00f6rn Ottersten","raw_affiliation_strings":["Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0003-2298-6774","affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Security, Reliability, Trust of the University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":null,"apc_paid":null,"fwci":7.9378,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.98203162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"40","issue":"6","first_page":"1338","last_page":"1351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9961000084877014,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9846000075340271,"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/computer-science","display_name":"Computer science","score":0.5154936909675598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5018062591552734},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.48445582389831543},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45263469219207764},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.41746559739112854},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4101770520210266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4080318808555603},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3361584544181824},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3331611752510071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24048447608947754}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5154936909675598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5018062591552734},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.48445582389831543},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45263469219207764},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.41746559739112854},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4101770520210266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4080318808555603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3361584544181824},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3331611752510071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24048447608947754},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tpami.2017.2711607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2017.2711607","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:28613161","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28613161","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:orbilu.uni.lu:10993/31351","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/31351","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:orbilu.uni.lu:10993/33029","is_oa":true,"landing_page_url":"http://orbilu.uni.lu/handle/10993/33029","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"http://purl.org/coar/resource_type/c_db06"}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/31351","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/31351","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W255181480","https://openalex.org/W328858784","https://openalex.org/W585133165","https://openalex.org/W1019822895","https://openalex.org/W1548544437","https://openalex.org/W1555683961","https://openalex.org/W1567215857","https://openalex.org/W1568215679","https://openalex.org/W1570052007","https://openalex.org/W1804110266","https://openalex.org/W1964292167","https://openalex.org/W1969002377","https://openalex.org/W1975357277","https://openalex.org/W1976814955","https://openalex.org/W1980451378","https://openalex.org/W1982326997","https://openalex.org/W1985415289","https://openalex.org/W1996611764","https://openalex.org/W2001710996","https://openalex.org/W2002604548","https://openalex.org/W2014111094","https://openalex.org/W2014770458","https://openalex.org/W2017587562","https://openalex.org/W2024897941","https://openalex.org/W2027075083","https://openalex.org/W2031813546","https://openalex.org/W2045915581","https://openalex.org/W2057175746","https://openalex.org/W2061700871","https://openalex.org/W2078238424","https://openalex.org/W2091804476","https://openalex.org/W2093976044","https://openalex.org/W2096490535","https://openalex.org/W2097650154","https://openalex.org/W2104095591","https://openalex.org/W2106404777","https://openalex.org/W2107887685","https://openalex.org/W2109247271","https://openalex.org/W2109409043","https://openalex.org/W2111569598","https://openalex.org/W2114766304","https://openalex.org/W2121159332","https://openalex.org/W2125310690","https://openalex.org/W2126996938","https://openalex.org/W2127218421","https://openalex.org/W2131529365","https://openalex.org/W2132630784","https://openalex.org/W2140798815","https://openalex.org/W2143357187","https://openalex.org/W2150753219","https://openalex.org/W2151394936","https://openalex.org/W2152106040","https://openalex.org/W2156531304","https://openalex.org/W2157646840","https://openalex.org/W2165168736","https://openalex.org/W2165414070","https://openalex.org/W2165874743","https://openalex.org/W2171175445","https://openalex.org/W2340013814","https://openalex.org/W2952925569","https://openalex.org/W3163100926","https://openalex.org/W4205293427","https://openalex.org/W4206551434","https://openalex.org/W4210365534","https://openalex.org/W4229732326","https://openalex.org/W4299441806","https://openalex.org/W4300120313","https://openalex.org/W6646606819","https://openalex.org/W6676180653","https://openalex.org/W6678914141","https://openalex.org/W6682346614","https://openalex.org/W6684578312","https://openalex.org/W6685339533","https://openalex.org/W6996882303"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W2941285539","https://openalex.org/W4287661821","https://openalex.org/W4206698794","https://openalex.org/W1575981832","https://openalex.org/W3089249579","https://openalex.org/W3133864228","https://openalex.org/W1982132340","https://openalex.org/W3008292135","https://openalex.org/W2511960118"],"abstract_inverted_index":{"In":[0,171],"this":[1],"paper,":[2],"we":[3,87,138],"introduce":[4],"a":[5,23,36,51,70,78,100,181,193],"deformation":[6,101],"based":[7],"representation":[8,151,159],"space":[9],"for":[10,145],"curved":[11,24],"shapes":[12,55,115],"in":[13,50,59,148],".":[14],"Given":[15],"an":[16,33,64,82,119,140],"ordered":[17],"set":[18,31],"of":[19,35,69,90,93,111,121,142,175],"points":[20],"sampled":[21],"from":[22],"shape,":[25],"the":[26,30,91,94,132,149,157,176,185,188],"proposed":[27,150,158],"method":[28],"represents":[29],"as":[32,118],"element":[34],"finite":[37,71],"dimensional":[38,72],"matrix":[39,73],"Lie":[40,74],"group.":[41],"Variation":[42],"due":[43],"to":[44,77,107,130,162,173],"scale":[45],"and":[46,96,169,187,192,199],"location":[47],"are":[48,61,128],"filtered":[49],"preprocessing":[52],"stage,":[53],"while":[54],"that":[56,156],"vary":[57],"only":[58],"rotation":[60],"identified":[62],"by":[63,102],"equivalence":[65],"relationship.":[66],"The":[67],"use":[68],"group":[75],"leads":[76],"similarity":[79],"metric":[80,95],"with":[81,99],"explicit":[83],"geodesic":[84],"solution.":[85],"Subsequently,":[86],"discuss":[88],"some":[89],"properties":[92],"its":[97],"relationship":[98],"least":[103],"action.":[104],"Furthermore,":[105],"invariance":[106],"reparametrization":[108],"or":[109],"estimation":[110,120,135],"point":[112,133],"correspondence":[113,134],"between":[114],"is":[116,160],"formulated":[117],"sampling":[122],"function.":[123],"Thereafter,":[124],"two":[125],"possible":[126],"approaches":[127],"presented":[129],"solve":[131],"problem.":[136],"Finally,":[137],"propose":[139],"adaptation":[141],"k-means":[143],"clustering":[144],"shape":[146,167],"analysis":[147],"space.":[152],"Experimental":[153],"results":[154],"show":[155],"robust":[161],"uninformative":[163],"cues,":[164],"e.g.,":[165],"local":[166],"perturbation":[168],"displacement.":[170],"comparison":[172],"state":[174],"art":[177],"methods,":[178],"it":[179],"achieves":[180],"high":[182],"precision":[183],"on":[184,196],"Swedish":[186],"Flavia":[189],"leaf":[190],"datasets":[191],"comparable":[194],"result":[195],"MPEG-7,":[197],"Kimia99":[198],"Kimia216":[200],"datasets.":[201]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}