{"id":"https://openalex.org/W2170942152","doi":"https://doi.org/10.1109/cvpr.2008.4587745","title":"Probabilistic multi-tensor estimation using the Tensor Distribution Function","display_name":"Probabilistic multi-tensor estimation using the Tensor Distribution Function","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2170942152","doi":"https://doi.org/10.1109/cvpr.2008.4587745","mag":"2170942152"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2008.4587745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Conference on Computer Vision and Pattern Recognition","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/A5035692604","display_name":"Alex Leow","orcid":"https://orcid.org/0000-0002-5660-8651"},"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":"Alex Leow","raw_affiliation_strings":["University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065628116","display_name":"Siwei Zhu","orcid":"https://orcid.org/0009-0002-5951-6784"},"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":"Siwei Zhu","raw_affiliation_strings":["University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006318043","display_name":"Katie L. McMahon","orcid":"https://orcid.org/0000-0002-6357-615X"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Katie McMahon","raw_affiliation_strings":["Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia","institution_ids":["https://openalex.org/I217937681","https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036061196","display_name":"Greig I. de Zubicaray","orcid":"https://orcid.org/0000-0003-4506-0579"},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Greig I. de Zubicaray","raw_affiliation_strings":["Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia","institution_ids":["https://openalex.org/I217937681","https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108537800","display_name":"Matt Meredith","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Matt Meredith","raw_affiliation_strings":["Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia","institution_ids":["https://openalex.org/I217937681","https://openalex.org/I165143802"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Margie Wright","orcid":null},"institutions":[{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Margie Wright","raw_affiliation_strings":["Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Functional MRI Laboratory, Queensland Institute of Medical Research, University of Queensland, Australia","institution_ids":["https://openalex.org/I217937681","https://openalex.org/I165143802"]}]},{"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 Thompson","raw_affiliation_strings":["University of California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5168,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.737758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":1.0,"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":1.0,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12603","display_name":"NMR spectroscopy and applications","score":0.9519000053405762,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.8527043461799622},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6489107608795166},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6426315307617188},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5154246091842651},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5090019702911377},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.5016763210296631},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4822703003883362},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4719494879245758},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4654311537742615},{"id":"https://openalex.org/keywords/distribution-function","display_name":"Distribution function","score":0.46096014976501465},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45045262575149536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4211767911911011},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.328324556350708},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2973109483718872},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2875182628631592},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.22487574815750122},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11765167117118835}],"concepts":[{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.8527043461799622},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6489107608795166},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6426315307617188},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5154246091842651},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5090019702911377},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.5016763210296631},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4822703003883362},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4719494879245758},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4654311537742615},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.46096014976501465},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45045262575149536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4211767911911011},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.328324556350708},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2973109483718872},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2875182628631592},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.22487574815750122},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11765167117118835},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2008.4587745","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2008.4587745","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:248815","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1983112713","https://openalex.org/W1988954604","https://openalex.org/W2001611992","https://openalex.org/W2032936392","https://openalex.org/W2084761689","https://openalex.org/W2147133578","https://openalex.org/W4245551632"],"related_works":["https://openalex.org/W2893341095","https://openalex.org/W4241043257","https://openalex.org/W1990418105","https://openalex.org/W1971430736","https://openalex.org/W2055869823","https://openalex.org/W4242391381","https://openalex.org/W1980528650","https://openalex.org/W4249885815","https://openalex.org/W3199393239","https://openalex.org/W4255207566"],"abstract_inverted_index":{"Diffusion":[0],"weighted":[1],"magnetic":[2],"resonance":[3],"(MR)":[4],"imaging":[5],"is":[6,54,106,125],"a":[7,36,91],"powerful":[8],"tool":[9],"that":[10],"can":[11,43,133],"be":[12,44,135],"employed":[13,76],"to":[14,46,57,77],"study":[15],"white":[16],"matter":[17],"microstructure":[18],"by":[19,118,137],"examining":[20],"the":[21,86,96,119,127,141],"3D":[22],"displacement":[23,143],"profile":[24],"of":[25,38,64,98,111,140],"water":[26],"molecules":[27],"in":[28],"brain":[29],"tissue.":[30],"By":[31],"applying":[32],"diffusion-sensitized":[33],"gradients":[34],"along":[35],"minimum":[37],"6":[39,71],"directions,":[40],"second-order":[41],"tensors":[42],"computed":[45,136],"model":[47],"dominant":[48],"diffusion":[49,113,128],"processes.":[50],"However,":[51],"conventional":[52],"DTI":[53],"not":[55],"sufficient":[56],"resolve":[58],"crossing":[59,105],"fiber":[60,104],"tracts.":[61],"A":[62],"number":[63],"high-angular":[65],"resolution":[66],"schemes":[67],"with":[68,115],"greater":[69],"than":[70],"gradient":[72],"directions":[73],"have":[74],"been":[75],"address":[78],"this":[79,82,122],"issue.":[80],"In":[81],"paper,":[83],"we":[84],"introduce":[85],"tensor":[87],"distribution":[88,130],"function":[89,93,131],"(TDF),":[90],"probability":[92,144],"defined":[94],"on":[95],"space":[97],"symmetric":[99],"positive":[100],"definite":[101],"matrices.":[102],"Here,":[103],"modeled":[107],"as":[108],"an":[109],"ensemble":[110],"Gaussian":[112],"processes":[114],"weights":[116],"specified":[117],"TDF":[120,124],"once":[121],"optimal":[123],"determined,":[126],"orientation":[129],"(ODF)":[132],"easily":[134],"analytic":[138],"integration":[139],"resulting":[142],"function.":[145]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}