{"id":"https://openalex.org/W2085435911","doi":"https://doi.org/10.1109/isspa.2012.6310475","title":"Shape recognition on a Riemannian manifold","display_name":"Shape recognition on a Riemannian manifold","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2085435911","doi":"https://doi.org/10.1109/isspa.2012.6310475","mag":"2085435911"},"language":"en","primary_location":{"id":"doi:10.1109/isspa.2012.6310475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isspa.2012.6310475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA)","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/A5059199849","display_name":"Youssouf Chherawala","orcid":null},"institutions":[{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Youssouf Chherawala","raw_affiliation_strings":["Synchromedia Laboratory Ecole de Technologie Superieure, Montreal, QC, Canada","Synchromedia Laboratory, \u00c9cole de Technologie Sup\u00e9rieure, Montreal (QC), Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Synchromedia Laboratory Ecole de Technologie Superieure, Montreal, QC, Canada","institution_ids":["https://openalex.org/I9736820"]},{"raw_affiliation_string":"Synchromedia Laboratory, \u00c9cole de Technologie Sup\u00e9rieure, Montreal (QC), Canada#TAB#","institution_ids":["https://openalex.org/I9736820"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015410834","display_name":"Mohamed Cheriet","orcid":"https://orcid.org/0000-0002-5246-7265"},"institutions":[{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohamed Cheriet","raw_affiliation_strings":["Synchromedia Laboratory Ecole de Technologie Superieure, Montreal, QC, Canada","Synchromedia Laboratory, \u00c9cole de Technologie Sup\u00e9rieure, Montreal (QC), Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Synchromedia Laboratory Ecole de Technologie Superieure, Montreal, QC, Canada","institution_ids":["https://openalex.org/I9736820"]},{"raw_affiliation_string":"Synchromedia Laboratory, \u00c9cole de Technologie Sup\u00e9rieure, Montreal (QC), Canada#TAB#","institution_ids":["https://openalex.org/I9736820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9736820"],"apc_list":null,"apc_paid":null,"fwci":0.2776,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59706851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1205","last_page":"1210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9994000196456909,"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":0.9966999888420105,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5710923075675964},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.544677197933197},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5337238311767578},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5117032527923584},{"id":"https://openalex.org/keywords/active-shape-model","display_name":"Active shape model","score":0.511081337928772},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5022516250610352},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46732085943222046},{"id":"https://openalex.org/keywords/heat-kernel-signature","display_name":"Heat kernel signature","score":0.46726077795028687},{"id":"https://openalex.org/keywords/topological-skeleton","display_name":"Topological skeleton","score":0.42704084515571594},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41158103942871094},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3791801333427429},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3373014032840729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33596184849739075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2517055571079254},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.2125110626220703},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11777308583259583}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5710923075675964},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.544677197933197},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5337238311767578},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5117032527923584},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.511081337928772},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5022516250610352},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46732085943222046},{"id":"https://openalex.org/C45089102","wikidata":"https://www.wikidata.org/wiki/Q5693286","display_name":"Heat kernel signature","level":4,"score":0.46726077795028687},{"id":"https://openalex.org/C112785775","wikidata":"https://www.wikidata.org/wiki/Q786441","display_name":"Topological skeleton","level":4,"score":0.42704084515571594},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41158103942871094},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3791801333427429},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3373014032840729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33596184849739075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2517055571079254},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.2125110626220703},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11777308583259583},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isspa.2012.6310475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isspa.2012.6310475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2045915581","https://openalex.org/W2057175746","https://openalex.org/W2062953232","https://openalex.org/W2095444191","https://openalex.org/W2111643688","https://openalex.org/W2114766304","https://openalex.org/W2120544738","https://openalex.org/W2131529365","https://openalex.org/W2139212933","https://openalex.org/W2150559991","https://openalex.org/W2165168736","https://openalex.org/W2165414070"],"related_works":["https://openalex.org/W2559823020","https://openalex.org/W2501097992","https://openalex.org/W13786964","https://openalex.org/W2212089300","https://openalex.org/W1651239183","https://openalex.org/W2002305436","https://openalex.org/W2046777610","https://openalex.org/W2164009611","https://openalex.org/W1979957194","https://openalex.org/W2171614834"],"abstract_inverted_index":{"In":[0,97],"this":[1],"paper,":[2],"we":[3,83],"propose":[4,48],"to":[5,21,25,49,91,99,102],"perform":[6],"shape":[7,26,35,59,92,149],"recognition":[8],"on":[9,15,146],"a":[10,16,63,68,138,152],"Riemannian":[11,42],"manifold.":[12],"Shape":[13],"representation":[14,90],"manifold":[17,54],"have":[18],"the":[19,51,58,79,85,88,104,115,120,127,133,147],"advantage":[20],"be":[22,38,100],"intrinsically":[23],"invariant":[24],"preserving":[27],"transformation,":[28],"such":[29],"as":[30,62],"scaling":[31],"and":[32,119,132],"translation.":[33],"Also,":[34],"distance":[36,105,134,150],"can":[37],"naturally":[39],"computed":[40],"because":[41],"manifolds":[43],"are":[44,117,124,130,157],"metric":[45],"spaces.":[46],"We":[47,66],"use":[50],"square-root":[52],"velocity":[53],"(SRV),":[55],"which":[56,77],"model":[57],"external":[60],"contour":[61],"unit-length":[64,80],"curve.":[65],"detail":[67],"dynamic":[69],"programming":[70],"algorithm":[71],"for":[72,151],"curve":[73],"alignment":[74],"w.r.t.":[75],"parameterization,":[76],"respects":[78],"constraint.":[81],"Then,":[82],"increase":[84],"robustness":[86],"of":[87],"SRV":[89],"deformations":[93],"with":[94],"additional":[95],"features.":[96],"order":[98],"resilient":[101],"occlusion,":[103],"between":[106],"two":[107,112],"curves":[108,116,129],"is":[109,135,143],"performed":[110],"in":[111],"steps.":[113],"First":[114],"aligned":[118,131],"less":[121],"matching":[122],"parts":[123],"removed;":[125],"then":[126],"resulting":[128],"evaluated.":[136],"Finally,":[137],"support":[139],"vector":[140],"machine":[141],"classifier":[142],"trained":[144],"based":[145],"pairwise":[148],"robust":[153],"recognition.":[154],"Promising":[155],"results":[156],"obtained":[158],"using":[159],"state-of-the-art":[160],"benchmarks.":[161]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
