{"id":"https://openalex.org/W2084775462","doi":"https://doi.org/10.1109/tpami.2012.184","title":"3D Stochastic Completion Fields for Mapping Connectivity in Diffusion MRI","display_name":"3D Stochastic Completion Fields for Mapping Connectivity in Diffusion MRI","publication_year":2012,"publication_date":"2012-08-30","ids":{"openalex":"https://openalex.org/W2084775462","doi":"https://doi.org/10.1109/tpami.2012.184","mag":"2084775462","pmid":"https://pubmed.ncbi.nlm.nih.gov/23428434"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2012.184","doi":"https://doi.org/10.1109/tpami.2012.184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2012.184","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","doyens","jufo-3","medline","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5000444755","display_name":"Parya MomayyezSiahkal","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Parya MomayyezSiahkal","raw_affiliation_strings":["McGill University, Montreal, Montreal, QC H3A 2A7, Canada. parya.momayyezsiahkal@mail.mcgill.ca","[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, Montreal, Montreal, QC H3A 2A7, Canada. parya.momayyezsiahkal@mail.mcgill.ca","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033570386","display_name":"Kaleem Siddiqi A","orcid":"https://orcid.org/0000-0002-7347-9716","observed_orcids":["https://orcid.org/0000-0002-7347-9716"]},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kaleem Siddiqi","raw_affiliation_strings":["School of Computer Science and Centre for Intelligent Machines, McGill University, Montreal, QUE, Canada","[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Centre for Intelligent Machines, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"[Sch. of Comput. Sci., McGill Univ., Montreal, QC, Canada]","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.4941,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.79408096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"35","issue":"4","first_page":"983","last_page":"995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9951000213623047,"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":0.9951000213623047,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.0006000000284984708,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.0005000000237487257,"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/diffusion-mri","display_name":"diffusion MRI","score":0.7250000238418579},{"id":"https://openalex.org/keywords/connectivity-mapping","display_name":"connectivity mapping","score":0.6830000281333923},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"spherical harmonics","score":0.8519999980926514},{"id":"https://openalex.org/keywords/fokker-planck-equation","display_name":"Fokker-Planck equation","score":0.9240000247955322},{"id":"https://openalex.org/keywords/rotation-invariance","display_name":"rotation invariance","score":0.8569999933242798},{"id":"https://openalex.org/keywords/orientation-data","display_name":"orientation data","score":0.7139999866485596},{"id":"https://openalex.org/keywords/high-angular-resolution-diffusion-imaging","display_name":"high angular resolution diffusion imaging","score":0.8349999785423279},{"id":"https://openalex.org/keywords/brain-connectivity","display_name":"brain connectivity","score":0.5809999704360962}],"concepts":[{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.587255597114563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5431060791015625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5116084218025208},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5082973837852478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46670031547546387},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43855202198028564},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.43533575534820557},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"score":0.4298701286315918},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.41162723302841187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31517294049263},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15238815546035767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15093499422073364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14214524626731873},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001931","descriptor_name":"Brain Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016000","descriptor_name":"Cluster Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D038524","descriptor_name":"Diffusion Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tpami.2012.184","doi":"https://doi.org/10.1109/tpami.2012.184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2012.184","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","doyens","jufo-3","medline","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:23428434","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23428434","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.727.365","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.727.365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cim.mcgill.ca/%7Eshape/publications/pami13.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321747","display_name":"Fonds Qu\u00e9b\u00e9cois de la Recherche sur la Nature et les Technologies","ror":"https://ror.org/00b9f9778"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W142794626","https://openalex.org/W159755670","https://openalex.org/W1484285762","https://openalex.org/W1484969294","https://openalex.org/W1543505312","https://openalex.org/W1545423298","https://openalex.org/W1547177560","https://openalex.org/W1554023438","https://openalex.org/W1557554815","https://openalex.org/W1558012644","https://openalex.org/W1575877217","https://openalex.org/W1771768562","https://openalex.org/W1847972783","https://openalex.org/W1964802316","https://openalex.org/W1984216864","https://openalex.org/W1988193398","https://openalex.org/W1988954604","https://openalex.org/W1992336406","https://openalex.org/W2001617943","https://openalex.org/W2017277760","https://openalex.org/W2034252184","https://openalex.org/W2036785860","https://openalex.org/W2041545311","https://openalex.org/W2049895116","https://openalex.org/W2052570168","https://openalex.org/W2053884965","https://openalex.org/W2060770448","https://openalex.org/W2065642721","https://openalex.org/W2067509374","https://openalex.org/W2071833700","https://openalex.org/W2072923434","https://openalex.org/W2092955737","https://openalex.org/W2100388636","https://openalex.org/W2101443734","https://openalex.org/W2101461002","https://openalex.org/W2102600873","https://openalex.org/W2109440121","https://openalex.org/W2110798659","https://openalex.org/W2111508341","https://openalex.org/W2114849571","https://openalex.org/W2115968148","https://openalex.org/W2128197592","https://openalex.org/W2129104643","https://openalex.org/W2129841144","https://openalex.org/W2130199747","https://openalex.org/W2137216139","https://openalex.org/W2140529698","https://openalex.org/W2140966579","https://openalex.org/W2142059961","https://openalex.org/W2142900310","https://openalex.org/W2145132952","https://openalex.org/W2149314739","https://openalex.org/W2151061498","https://openalex.org/W2156127840","https://openalex.org/W2162089114","https://openalex.org/W2164535018","https://openalex.org/W2168242059"],"related_works":["https://openalex.org/W1847972783","https://openalex.org/W7027986612","https://openalex.org/W1496266809","https://openalex.org/W2162089114","https://openalex.org/W7096171247","https://openalex.org/W1765970373","https://openalex.org/W2951279646","https://openalex.org/W7098470643","https://openalex.org/W6977710714","https://openalex.org/W2795713607"],"abstract_inverted_index":{"The":[0],"2D":[1],"stochastic":[2],"completion":[3,24,50,103],"field":[4],"algorithm,":[5],"introduced":[6],"by":[7,59],"Williams":[8],"and":[9,105,122,153],"Jacobs":[10],"[1],":[11],"[2],":[12],"uses":[13],"a":[14,33,69,75,97,150,164],"directional":[15],"random":[16],"walk":[17],"to":[18,44,66,73,80,100,106],"model":[19],"the":[20,27,46,64,81,85,88,93,127,130,133],"prior":[21],"probability":[22,89],"of":[23,48,87,129,136,163],"curves":[25,51],"in":[26,36,55,113,117,156],"plane.":[28],"This":[29,95],"construct":[30],"has":[31,41],"had":[32],"powerful":[34],"impact":[35],"computer":[37],"vision,":[38],"where":[39,141],"it":[40],"been":[42],"used":[43],"compute":[45,101],"shapes":[47],"likely":[49],"between":[52],"edge":[53],"fragments":[54],"visual":[56],"imagery.":[57],"Motivated":[58],"these":[60],"developments,":[61],"we":[62,142],"extend":[63],"algorithm":[65],"3D,":[67,114],"using":[68],"spherical":[70],"harmonics":[71],"basis":[72],"achieve":[74],"rotation":[76],"invariant":[77],"computational":[78],"solution":[79],"Fokker-Planck":[82],"equation":[83],"describing":[84],"evolution":[86],"density":[90],"function":[91],"underlying":[92],"model.":[94],"provides":[96],"principled":[98],"way":[99],"3D":[102,118],"patterns":[104],"derive":[107,143],"connectivity":[108,144],"measures":[109],"for":[110,132,146],"orientation":[111],"data":[112],"as":[115],"arises":[116],"tracking,":[119],"motion":[120],"capture,":[121],"medical":[123],"imaging.":[124],"We":[125],"demonstrate":[126],"utility":[128],"approach":[131],"particular":[134],"case":[135],"diffusion":[137,161],"magnetic":[138],"resonance":[139],"imaging,":[140],"maps":[145],"synthetic":[147],"data,":[148],"on":[149,154],"physical":[151],"phantom":[152],"an":[155],"vivo":[157],"high":[158],"angular":[159],"resolution":[160],"image":[162],"human":[165],"brain.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
