{"id":"https://openalex.org/W2539802277","doi":"https://doi.org/10.1109/iccv.2009.5459422","title":"Shape analysis with multivariate tensor-based morphometry and holomorphic differentials","display_name":"Shape analysis with multivariate tensor-based morphometry and holomorphic differentials","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2539802277","doi":"https://doi.org/10.1109/iccv.2009.5459422","mag":"2539802277"},"language":"en","primary_location":{"id":"doi:10.1109/iccv.2009.5459422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459422","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/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":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2349","last_page":"2356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9868999719619751,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9836000204086304,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7735722064971924},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6748321652412415},{"id":"https://openalex.org/keywords/holomorphic-function","display_name":"Holomorphic function","score":0.6512032747268677},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6118640303611755},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.5740209817886353},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5580499172210693},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5435881018638611},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5294929146766663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5167100429534912},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.48280179500579834},{"id":"https://openalex.org/keywords/brain-morphometry","display_name":"Brain morphometry","score":0.42136532068252563},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37828412652015686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3703247904777527},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.324310839176178},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2447633147239685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.22343382239341736},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.18961220979690552},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.16594746708869934},{"id":"https://openalex.org/keywords/radiology","display_name":"Radiology","score":0.1409931182861328}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7735722064971924},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6748321652412415},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.6512032747268677},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6118640303611755},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.5740209817886353},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5580499172210693},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5435881018638611},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5294929146766663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5167100429534912},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.48280179500579834},{"id":"https://openalex.org/C145940234","wikidata":"https://www.wikidata.org/wiki/Q4955830","display_name":"Brain morphometry","level":3,"score":0.42136532068252563},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37828412652015686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3703247904777527},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.324310839176178},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2447633147239685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.22343382239341736},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.18961220979690552},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.16594746708869934},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.1409931182861328},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/iccv.2009.5459422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccv.2009.5459422","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:10.1.1.154.8583","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.8583","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/jacobian_iccv_camera_v3.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-48596","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-48596","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","score":0.8500000238418579,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1512531441","https://openalex.org/W1785505593","https://openalex.org/W1974956622","https://openalex.org/W1984362099","https://openalex.org/W2011082917","https://openalex.org/W2032977736","https://openalex.org/W2042070546","https://openalex.org/W2048192550","https://openalex.org/W2054794722","https://openalex.org/W2079498324","https://openalex.org/W2086683689","https://openalex.org/W2100177310","https://openalex.org/W2112763146","https://openalex.org/W2117020833","https://openalex.org/W2123197173","https://openalex.org/W2127033124","https://openalex.org/W2138903016","https://openalex.org/W2142441066","https://openalex.org/W2143736779","https://openalex.org/W2151721316","https://openalex.org/W2154778070","https://openalex.org/W2158466399","https://openalex.org/W2166743687","https://openalex.org/W4238720984","https://openalex.org/W4255605992","https://openalex.org/W6630506684","https://openalex.org/W6677337394"],"related_works":["https://openalex.org/W2211201902","https://openalex.org/W3094515845","https://openalex.org/W2007405763","https://openalex.org/W2982338311","https://openalex.org/W3136087161","https://openalex.org/W1486373823","https://openalex.org/W1610978630","https://openalex.org/W4237698157","https://openalex.org/W4386732633","https://openalex.org/W2119578520"],"abstract_inverted_index":{"In":[0],"this":[1,84],"paper,":[2],"we":[3,18],"propose":[4],"multivariate":[5,38],"tensor-based":[6],"surface":[7,13,43,93,103,127,155],"morphometry,":[8],"a":[9,29],"new":[10,52],"method":[11,123],"for":[12],"analysis,":[14],"using":[15],"holomorphic":[16,73],"differentials;":[17],"also":[19],"apply":[20],"it":[21],"to":[22,32,86,90],"study":[23],"brain":[24,126],"anatomy.":[25],"Differential":[26],"forms":[27],"provide":[28],"natural":[30],"way":[31],"parameterize":[33],"3D":[34,87],"surfaces,":[35],"but":[36],"the":[37,41,55,61,65,71,132,142,145,149,154],"statistics":[39,53,130],"of":[40,141,151,153],"resulting":[42],"metrics":[44],"have":[45],"not":[46],"previously":[47],"been":[48],"investigated.":[49],"We":[50,69,82],"computed":[51],"from":[54],"Riemannian":[56],"metric":[57],"tensors":[58,134],"that":[59,121],"retain":[60],"full":[62],"information":[63],"in":[64,95,105,111,114],"deformation":[66],"tensor":[67],"fields.":[68],"present":[70],"canonical":[72],"one-forms":[74],"with":[75],"improved":[76],"numerical":[77],"accuracy":[78],"and":[79,109],"computational":[80],"efficiency.":[81],"applied":[83],"framework":[85],"MRI":[88],"data":[89],"analyze":[91],"hippocampal":[92],"morphometry":[94,104],"Alzheimer\u2019s":[96],"Disease":[97],"(AD;":[98],"12":[99],"subjects),":[100],"lateral":[101,112],"ventricular":[102],"HIV/AIDS":[106,115],"(11":[107,116],"subjects)":[108],"biomarkers":[110],"ventricles":[113],"subjects).":[117],"Experimental":[118],"results":[119],"demonstrated":[120],"our":[122],"powerfully":[124],"detected":[125],"abnormalities.":[128],"Multivariate":[129],"on":[131],"local":[133],"outperformed":[135],"other":[136],"TBM":[137],"methods":[138],"including":[139],"analysis":[140],"Jacobian":[143,156],"determinant,":[144],"largest":[146],"eigenvalue,":[147],"or":[148],"pair":[150],"eigenvalues,":[152],"matrix.":[157],"1.":[158]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}