{"id":"https://openalex.org/W2137338827","doi":"https://doi.org/10.1109/iccv.2007.4409023","title":"Spherical-Homoscedastic Shapes","display_name":"Spherical-Homoscedastic Shapes","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2137338827","doi":"https://doi.org/10.1109/iccv.2007.4409023","mag":"2137338827"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2007.4409023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2007.4409023","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 11th 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/A5080241339","display_name":"Onur C. Hamsici","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Onur C. Hamsici","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State Uinversity, Columbus, OH, USA","Ohio State Univ., Columbus#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State Uinversity, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Ohio State Univ., Columbus#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085208414","display_name":"Aleix M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0002-4745-4953"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aleix M. Martinez","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State Uinversity, Columbus, OH, USA","Ohio State Univ., Columbus#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State Uinversity, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Ohio State Univ., Columbus#TAB#","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080241339"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":0.8912,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72800638,"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":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9951000213623047,"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":0.947700023651123,"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/hypersphere","display_name":"Hypersphere","score":0.8684067726135254},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5478595495223999},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5353690981864929},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5325015783309937},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5274329781532288},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.5171034336090088},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5133451819419861},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4720001220703125},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4452734589576721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4242761731147766},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"Scale invariance","score":0.41342929005622864},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.41295111179351807}],"concepts":[{"id":"https://openalex.org/C2776562905","wikidata":"https://www.wikidata.org/wiki/Q306610","display_name":"Hypersphere","level":2,"score":0.8684067726135254},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5478595495223999},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5353690981864929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5325015783309937},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5274329781532288},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.5171034336090088},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5133451819419861},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4720001220703125},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4452734589576721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4242761731147766},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.41342929005622864},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.41295111179351807},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/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/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","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/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccv.2007.4409023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2007.4409023","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 11th International Conference on Computer Vision","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W81377659","https://openalex.org/W191001584","https://openalex.org/W1688775013","https://openalex.org/W1979740015","https://openalex.org/W2091804476","https://openalex.org/W2107481936","https://openalex.org/W2112074816","https://openalex.org/W2136111578","https://openalex.org/W2146932984","https://openalex.org/W4234333941","https://openalex.org/W6637359203","https://openalex.org/W7062067314"],"related_works":["https://openalex.org/W2099702253","https://openalex.org/W2059484267","https://openalex.org/W1970780628","https://openalex.org/W2069017679","https://openalex.org/W2133653616","https://openalex.org/W1608792276","https://openalex.org/W2097033632","https://openalex.org/W2021670453","https://openalex.org/W2021783512","https://openalex.org/W1648124182"],"abstract_inverted_index":{"Shape":[0],"analysis":[1],"requires":[2],"invariance":[3,12],"under":[4,108],"translation,":[5],"scale":[6,11],"and":[7,10,25,168,184,204],"rotation.":[8],"Translation":[9],"can":[13,44,155],"be":[14,45,90,156],"realized":[15],"by":[16,49,79],"normalizing":[17],"shape":[18,30,42,191],"vectors":[19,32,43],"with":[20,115,123],"respect":[21],"to":[22,89,120,188],"their":[23,84],"mean":[24],"norm.":[26],"This":[27,159],"maps":[28,137],"the":[29,34,41,51,62,67,72,80,111,124,138,144,152,173,195,198],"feature":[31],"onto":[33],"surface":[35],"of":[36,74,100,175,197],"a":[37,132,141,162],"hypersphere.":[38],"After":[39],"normalization,":[40],"made":[46],"rotational":[47],"invariant":[48,58],"modelling":[50],"resulting":[52],"data":[53,139],"using":[54,66],"complex":[55,63,68,116,126],"scalar":[56],"rotation":[57],"distributions":[59,76],"defined":[60],"on":[61],"hypersphere,":[64],"e.g.,":[65],"Bingham":[69],"distribution.":[70,128],"However,":[71],"use":[73,174],"these":[75],"is":[77,87,103],"hampered":[78],"difficulty":[81],"in":[82,95,161,178,201],"estimating":[83],"parameters,":[85],"which":[86,109,135],"shown":[88],"very":[91],"costly":[92],"or":[93],"impossible":[94],"most":[96],"cases.":[97],"The":[98],"purpose":[99],"this":[101,176],"paper":[102],"twofold.":[104],"First,":[105],"we":[106,130],"show":[107],"conditions":[110,146],"classification":[112,202],"results":[113,160,181],"obtained":[114,122],"Binghams":[117],"are":[118,147],"identical":[119],"those":[121],"easy-to-estimate":[125],"Normal":[127],"Second,":[129],"derive":[131],"kernel":[133],"function":[134],"(intrinsically)":[136],"into":[140],"space":[142],"where":[143,151],"above":[145],"satisfied":[148],"and,":[149],"hence,":[150],"normal":[153],"model":[154],"successfully":[157],"used.":[158],"simple,":[163],"low-cost":[164],"algorithm":[165],"for":[166,182],"representing":[167],"classifying":[169],"shapes.":[170],"We":[171],"demonstrate":[172,194],"technique":[177],"several":[179],"experimental":[180],"object":[183],"face":[185],"recognition.":[186],"Comparisons":[187],"other":[189],"statistical":[190],"representation/classification":[192],"approaches":[193],"superiority":[196],"proposed":[199],"algorithms":[200],"accuracy":[203],"computational":[205],"time.":[206]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}