{"id":"https://openalex.org/W2533974129","doi":"https://doi.org/10.1109/iccv.2009.5459416","title":"Studying brain morphometry using conformal equivalence class","display_name":"Studying brain morphometry using conformal equivalence class","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2533974129","doi":"https://doi.org/10.1109/iccv.2009.5459416","mag":"2533974129"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2009.5459416","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459416","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":"conference-paper","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/A5100740828","display_name":"Yalin Wang","orcid":"https://orcid.org/0000-0002-6241-735X"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yalin Wang","raw_affiliation_strings":["Department of Neurology/Math, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurology/Math, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054561567","display_name":"Wei Dai","orcid":"https://orcid.org/0000-0003-4248-419X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Dai","raw_affiliation_strings":["Department of Math, University of Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Math, University of Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111975911","display_name":"Yi\u2010Yu Chou","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yi-Yu Chou","raw_affiliation_strings":["Department of Neurology, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurology, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100607707","display_name":"Xianfeng Gu","orcid":"https://orcid.org/0000-0001-8226-5851"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianfeng Gu","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003735769","display_name":"Tony F. Chan","orcid":"https://orcid.org/0000-0001-6196-2068"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tony F Chan","raw_affiliation_strings":["Department of Math, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Math, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014949118","display_name":"Arthur W. Toga","orcid":"https://orcid.org/0000-0001-7902-3755"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur W Toga","raw_affiliation_strings":["Department of Neurology, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurology, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100606557","display_name":"Paul M. Thompson","orcid":"https://orcid.org/0000-0002-4720-8867"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul M Thompson","raw_affiliation_strings":["Department of Neurology, University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurology, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"2365","last_page":"2372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9984999895095825,"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":0.9984999895095825,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T14510","display_name":"Medical Imaging and Analysis","score":0.9753000140190125,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.7891569137573242},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7070796489715576},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5337909460067749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.523260235786438},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.49300023913383484},{"id":"https://openalex.org/keywords/extremal-length","display_name":"Extremal length","score":0.4911491572856903},{"id":"https://openalex.org/keywords/covering-space","display_name":"Covering space","score":0.4540253281593323},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.4520447850227356},{"id":"https://openalex.org/keywords/conformal-geometry","display_name":"Conformal geometry","score":0.4470778703689575},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.437202513217926},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.4220188558101654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3888353705406189},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3493070602416992},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34817618131637573},{"id":"https://openalex.org/keywords/conformal-symmetry","display_name":"Conformal symmetry","score":0.24009811878204346},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18582293391227722}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7891569137573242},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7070796489715576},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5337909460067749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.523260235786438},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.49300023913383484},{"id":"https://openalex.org/C3352285","wikidata":"https://www.wikidata.org/wiki/Q5422297","display_name":"Extremal length","level":4,"score":0.4911491572856903},{"id":"https://openalex.org/C162329640","wikidata":"https://www.wikidata.org/wiki/Q332648","display_name":"Covering space","level":2,"score":0.4540253281593323},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.4520447850227356},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.4470778703689575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.437202513217926},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.4220188558101654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3888353705406189},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3493070602416992},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34817618131637573},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.24009811878204346},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18582293391227722},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/iccv.2009.5459416","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459416","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:10.1.1.156.866","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ucla.edu/~ylwang/archive/hyper_iccv_camera_v3.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-48595","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-48595","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W181601562","https://openalex.org/W1593030735","https://openalex.org/W1984362099","https://openalex.org/W2046267209","https://openalex.org/W2057303589","https://openalex.org/W2094102206","https://openalex.org/W2094163096","https://openalex.org/W2100177310","https://openalex.org/W2100607348","https://openalex.org/W2116329629","https://openalex.org/W2126776155","https://openalex.org/W2140082297","https://openalex.org/W2142130738","https://openalex.org/W2143736779","https://openalex.org/W2153684531","https://openalex.org/W2165542259","https://openalex.org/W2166743687","https://openalex.org/W2172167640","https://openalex.org/W3040586665","https://openalex.org/W4244435916","https://openalex.org/W6675213996"],"related_works":["https://openalex.org/W2166171207","https://openalex.org/W2236765889","https://openalex.org/W4296586192","https://openalex.org/W3142049200","https://openalex.org/W4313304730","https://openalex.org/W1991917222","https://openalex.org/W2285715840","https://openalex.org/W2564801791","https://openalex.org/W2900448792","https://openalex.org/W2082548982"],"abstract_inverted_index":{"Two":[0],"surfaces":[1,18,95,208],"are":[2,122],"conformally":[3,105],"equivalent":[4],"if":[5],"there":[6],"exists":[7],"a":[8,24,31,50,107,126],"bijective":[9],"angle-preserving":[10],"map":[11,38,106],"between":[12],"them.":[13],"The":[14,64,116],"Teichm\u00fcller":[15,71,203,218],"space":[16,72],"for":[17,188,205,229],"with":[19],"the":[20,36,42,99,113,123,217],"same":[21],"topology":[22],"is":[23,39,67,75,87,96],"finite-dimensional":[25],"manifold,":[26],"where":[27],"each":[28],"point":[29],"represents":[30],"conformal":[32,37,55,80,215],"equivalence":[33,56],"class,":[34],"and":[35,77,84,136,141],"homotopic":[40],"to":[41,53,60,90,112,153],"identity":[43],"map.":[44],"In":[45,175],"this":[46,138],"paper,":[47],"we":[48,103,120,145,179],"propose":[49],"novel":[51],"method":[52],"apply":[54],"based":[57,69,201],"shape":[58,65,117,139],"index":[59,66,140],"study":[61],"brain":[62],"morphometry.":[63,233],"defined":[68],"on":[70,158,171,202],"coordinates.":[73],"It":[74,86],"intrinsic,":[76],"invariant":[78],"under":[79,131],"transformations,":[81],"rigid":[82],"motions":[83],"scaling.":[85],"also":[88],"simple":[89],"compute;":[91],"no":[92],"registration":[93],"of":[94,125,129],"needed.":[97],"Using":[98],"Yamabe":[100],"flow":[101],"method,":[102],"can":[104,146],"genus-zero":[108],"open":[109],"boundary":[110],"surface":[111,162,232],"Poincar\u00e9":[114],"disk.":[115],"indices":[118],"that":[119],"compute":[121],"lengths":[124],"special":[127],"set":[128],"geodesics":[130],"hyperbolic":[132],"metric.":[133],"By":[134],"computing":[135],"studying":[137],"its":[142],"statistical":[143],"behavior,":[144],"analyze":[147],"differences":[148],"in":[149,191],"anatomical":[150,231],"morphometry":[151],"due":[152],"disease":[154],"or":[155],"development.":[156],"Study":[157],"twin":[159],"lateral":[160,172,206,223],"ventricular":[161,173,207,224],"data":[163],"shows":[164],"it":[165],"may":[166],"help":[167],"detect":[168],"generic":[169],"influence":[170],"shapes.":[174],"leave-one-out":[176],"validation":[177],"tests,":[178],"achieved":[180],"100%":[181],"accurate":[182],"classification":[183],"(versus":[184],"only":[185],"68%":[186],"accuracy":[187],"volume":[189],"measures)":[190],"distinguishing":[192],"11":[193],"HIV/AIDS":[194],"individuals":[195],"from":[196,210],"8":[197],"healthy":[198],"control":[199],"subjects,":[200],"coordinates":[204],"extracted":[209],"their":[211,227],"3D":[212],"MRI":[213],"scans.Our":[214],"invariants,":[216],"coordinates,":[219],"successfully":[220],"classified":[221],"all":[222],"surfaces,":[225],"showing":[226],"promise":[228],"analyzing":[230]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
