{"id":"https://openalex.org/W2118653116","doi":"https://doi.org/10.1109/isbi.2011.5872402","title":"Diffusion kurtosis imaging: Robust estimation from DW-MRI using homogeneous polynomials","display_name":"Diffusion kurtosis imaging: Robust estimation from DW-MRI using homogeneous polynomials","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2118653116","doi":"https://doi.org/10.1109/isbi.2011.5872402","mag":"2118653116"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2011.5872402","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2011.5872402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro","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/A5082617781","display_name":"Angelos Barmpoutis","orcid":"https://orcid.org/0000-0003-3271-7965"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Angelos Barmpoutis","raw_affiliation_strings":["Digital Worlds Institute, University of Florida, Gainesville, FL, USA","The University of Florida, Digital Worlds Institute, Gainesville, 32611, USA"],"affiliations":[{"raw_affiliation_string":"Digital Worlds Institute, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"The University of Florida, Digital Worlds Institute, Gainesville, 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004467381","display_name":"Jiachen Zhuo","orcid":"https://orcid.org/0000-0001-6637-701X"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I126744593","display_name":"University of Maryland, Baltimore","ror":"https://ror.org/04rq5mt64","country_code":"US","type":"education","lineage":["https://openalex.org/I126744593"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiachen Zhuo","raw_affiliation_strings":["Department of Radiology, University of Maryland, Baltimore, MD, USA","The University of Maryland, Department of Radiology, Baltimore, 21201, USA"],"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Maryland, Baltimore, MD, USA","institution_ids":["https://openalex.org/I126744593"]},{"raw_affiliation_string":"The University of Maryland, Department of Radiology, Baltimore, 21201, USA","institution_ids":["https://openalex.org/I126744593","https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082617781"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":2.2875,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87322603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"53","issue":null,"first_page":"262","last_page":"265"},"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/T12209","display_name":"Bone and Joint Diseases","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2732","display_name":"Orthopedics and Sports Medicine"},"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/T12552","display_name":"Fetal and Pediatric Neurological Disorders","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2735","display_name":"Pediatrics, Perinatology and Child Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.8152116537094116},{"id":"https://openalex.org/keywords/kurtosis","display_name":"Kurtosis","score":0.803959846496582},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6245779991149902},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5641690492630005},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5591988563537598},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4456602931022644},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4438304007053375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4422948956489563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40589481592178345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3986252248287201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3934856057167053},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.376143217086792},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.22003737092018127},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17724120616912842},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10707774758338928},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08173209428787231}],"concepts":[{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.8152116537094116},{"id":"https://openalex.org/C166963901","wikidata":"https://www.wikidata.org/wiki/Q287251","display_name":"Kurtosis","level":2,"score":0.803959846496582},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6245779991149902},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5641690492630005},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5591988563537598},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4456602931022644},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4438304007053375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4422948956489563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40589481592178345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3986252248287201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3934856057167053},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.376143217086792},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.22003737092018127},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17724120616912842},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10707774758338928},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08173209428787231},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isbi.2011.5872402","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2011.5872402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2022530159","https://openalex.org/W2031200710","https://openalex.org/W2063111834","https://openalex.org/W2075665712","https://openalex.org/W2116823839","https://openalex.org/W2118105061","https://openalex.org/W2134697559","https://openalex.org/W2135723764","https://openalex.org/W2333836441"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W4381516319","https://openalex.org/W2037499216","https://openalex.org/W1506384729","https://openalex.org/W4225568567","https://openalex.org/W4286378979","https://openalex.org/W3127045225","https://openalex.org/W2519609354","https://openalex.org/W2000794313","https://openalex.org/W4387423321"],"abstract_inverted_index":{"Several":[0],"tensor-based":[1],"models":[2],"have":[3],"been":[4],"presented":[5],"in":[6,13,68],"literature":[7],"for":[8,49,60,83],"parameterizing":[9],"the":[10,58,75,91,117],"water":[11],"diffusion":[12,94,97],"Diffusion-Weighted":[14],"MRI":[15],"datasets,":[16],"namely":[17],"Diffusion":[18,27],"Tensor":[19,23],"Imaging":[20,24,29],"(DTI),":[21],"Generalized":[22],"(GTI),":[25],"and":[26,54,96,131],"Kurtosis":[28],"(DKI).":[30],"In":[31],"this":[32],"paper":[33],"we":[34,56],"use":[35],"homogeneous":[36],"trivariate":[37],"polynomials":[38],"to":[39,66,70,90],"show":[40],"that":[41,86,111],"GTI":[42],"is":[43,127],"a":[44,80,106,135],"special":[45],"case":[46],"of":[47,74,108,124],"DKI":[48,76,84],"single":[50],"angular":[51],"shell":[52],"acquisitions,":[53],"then":[55],"employ":[57],"theory":[59],"imposing":[61],"positive":[62],"semi-definite":[63],"(PSD)":[64],"constraints":[65,89,101],"GTIs":[67],"order":[69],"perform":[71],"robust":[72],"estimation":[73,85],"parameters.":[77],"We":[78],"propose":[79],"novel":[81],"framework":[82,126],"simultaneously":[87],"imposes":[88],"diffusivity":[92],"function,":[93],"tensor":[95],"kurtosis.":[98],"These":[99],"three":[100],"are":[102],"parameterized":[103],"explicitly":[104],"as":[105],"set":[107],"linear":[109],"systems":[110],"can":[112],"be":[113],"efficiently":[114],"solved":[115],"using":[116,129],"non-negative":[118],"least":[119],"squares":[120],"technique.":[121],"The":[122],"robustness":[123],"our":[125],"demonstrated":[128],"synthetic":[130],"real":[132],"data":[133],"from":[134],"human":[136],"brain.":[137]},"counts_by_year":[{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}