{"id":"https://openalex.org/W2061597802","doi":"https://doi.org/10.1155/2014/285367","title":"Regularization of DT-MRI Using 3D Median Filtering Methods","display_name":"Regularization of DT-MRI Using 3D Median Filtering Methods","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2061597802","doi":"https://doi.org/10.1155/2014/285367","mag":"2061597802"},"language":"en","primary_location":{"id":"doi:10.1155/2014/285367","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/285367","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/285367.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/285367.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065936778","display_name":"Soondong Kwon","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Soondong Kwon","raw_affiliation_strings":["Department of Biomedical Engineering, Yonsei University, Wonju 220-710, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Yonsei University, Wonju 220-710, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102727226","display_name":"Dongyoun Kim","orcid":"https://orcid.org/0009-0009-0776-877X"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dongyoun Kim","raw_affiliation_strings":["Department of Biomedical Engineering, Yonsei University, Wonju 220-710, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Yonsei University, Wonju 220-710, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100866221","display_name":"Bong\u2010Soo Han","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Bongsoo Han","raw_affiliation_strings":["Department of Radiological Science, Yonsei University, Wonju 220-710, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiological Science, Yonsei University, Wonju 220-710, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033820781","display_name":"Kiwoon Kwon","orcid":"https://orcid.org/0000-0003-0171-7911"},"institutions":[{"id":"https://openalex.org/I205490536","display_name":"Dongguk University","ror":"https://ror.org/057q6n778","country_code":"KR","type":"education","lineage":["https://openalex.org/I205490536"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Kiwoon Kwon","raw_affiliation_strings":["Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea","institution_ids":["https://openalex.org/I205490536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5033820781"],"corresponding_institution_ids":["https://openalex.org/I205490536"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14250554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"11"},"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9969000220298767,"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":0.9848999977111816,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.6683238744735718},{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.5937553644180298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5281108617782593},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5264889597892761},{"id":"https://openalex.org/keywords/median-filter","display_name":"Median filter","score":0.4843765199184418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4662576913833618},{"id":"https://openalex.org/keywords/tractography","display_name":"Tractography","score":0.4543319642543793},{"id":"https://openalex.org/keywords/scanner","display_name":"Scanner","score":0.4454199969768524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41614654660224915},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.40625593066215515},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4016112685203552},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3457375168800354},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.34371575713157654},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3420811593532562},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3017338514328003},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.18393194675445557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1731318235397339},{"id":"https://openalex.org/keywords/radiology","display_name":"Radiology","score":0.14567992091178894},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.13695228099822998}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.6683238744735718},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.5937553644180298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5281108617782593},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5264889597892761},{"id":"https://openalex.org/C55352655","wikidata":"https://www.wikidata.org/wiki/Q304247","display_name":"Median filter","level":4,"score":0.4843765199184418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4662576913833618},{"id":"https://openalex.org/C84787856","wikidata":"https://www.wikidata.org/wiki/Q3076659","display_name":"Tractography","level":4,"score":0.4543319642543793},{"id":"https://openalex.org/C2779751349","wikidata":"https://www.wikidata.org/wiki/Q1474480","display_name":"Scanner","level":2,"score":0.4454199969768524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41614654660224915},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.40625593066215515},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4016112685203552},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3457375168800354},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.34371575713157654},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3420811593532562},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3017338514328003},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.18393194675445557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1731318235397339},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.14567992091178894},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.13695228099822998}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/285367","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/285367","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/285367.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1412178104","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1412178104","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:285367","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/285367.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:5f40b1aeefe54a2fa17ee6f47bb9a5b4","is_oa":true,"landing_page_url":"https://doaj.org/article/5f40b1aeefe54a2fa17ee6f47bb9a5b4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/285367","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/285367","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/285367.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1699520949","display_name":null,"funder_award_id":"NRF-2013R1A1A2010624","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7360770709","display_name":null,"funder_award_id":"2013R1A1A2010624","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G8327131002","display_name":null,"funder_award_id":"2010-00757","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2061597802.pdf","grobid_xml":"https://content.openalex.org/works/W2061597802.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W180282343","https://openalex.org/W1601765952","https://openalex.org/W1977348563","https://openalex.org/W2010954305","https://openalex.org/W2017492739","https://openalex.org/W2020332292","https://openalex.org/W2036785860","https://openalex.org/W2037717178","https://openalex.org/W2048897033","https://openalex.org/W2057280743","https://openalex.org/W2077327329","https://openalex.org/W2082825242","https://openalex.org/W2099878763","https://openalex.org/W2107466627","https://openalex.org/W2123220620","https://openalex.org/W2124525546","https://openalex.org/W2137216139","https://openalex.org/W2148800344","https://openalex.org/W2149730302","https://openalex.org/W2150134853","https://openalex.org/W2157766167","https://openalex.org/W2161119653","https://openalex.org/W2279967201","https://openalex.org/W2335711175"],"related_works":["https://openalex.org/W2488984732","https://openalex.org/W363907200","https://openalex.org/W177321449","https://openalex.org/W2528560501","https://openalex.org/W2063864867","https://openalex.org/W2124285946","https://openalex.org/W2000834694","https://openalex.org/W2032211030","https://openalex.org/W1768525409","https://openalex.org/W4242489200"],"abstract_inverted_index":{"DT-MRI":[0,45],"(diffusion":[1],"tensor":[2,32],"magnetic":[3],"resonance":[4],"imaging)":[5],"tractography":[6],"is":[7,35,46,53],"a":[8],"method":[9,107,112,117,123],"to":[10,48,56,92],"determine":[11],"the":[12,18,24,27,38,78,152],"architecture":[13],"of":[14,26,127,140],"axonal":[15],"fibers":[16],"in":[17,68,77],"central":[19],"nervous":[20],"system":[21],"by":[22,151],"computing":[23],"direction":[25],"principal":[28],"eigenvectors":[29],"obtained":[30],"from":[31,37,134,143],"matrix,":[33],"which":[34,102],"different":[36,131],"conventional":[39],"isotropic":[40],"MRI.":[41],"Tractography":[42],"based":[43],"on":[44],"known":[47],"need":[49],"many":[50,71],"computations":[51],"and":[52,119,137],"highly":[54],"sensitive":[55],"noise.":[57],"Hence,":[58],"adequate":[59],"regularization":[60,72],"methods,":[61],"such":[62],"as":[63],"image":[64],"processing":[65],"techniques,":[66],"are":[67,75,103,146],"demand.":[69],"Among":[70],"methods":[73,101],"we":[74,85],"interested":[76],"median":[79,88,94,99,106,116],"filtering":[80,100,154],"method.":[81],"In":[82],"this":[83],"paper,":[84],"extended":[86],"two-dimensional":[87,104,109],"filters":[89],"already":[90],"developed":[91],"three-dimensional":[93,114,120],"filters.":[95],"We":[96],"compared":[97],"four":[98,153],"simple":[105,115],"(SM2D),":[108],"successive":[110,121],"Fermat":[111,122],"(SF2D),":[113],"(SM3D),":[118],"(SF3D).":[124],"Three":[125],"kinds":[126],"synthetic":[128],"data":[129,142],"with":[130],"altitude":[132],"angles":[133],"axial":[135],"slices":[136],"one":[138],"kind":[139],"human":[141],"MR":[144],"scanner":[145],"considered":[147],"for":[148],"numerical":[149],"implementation":[150],"methods.":[155]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
