{"id":"https://openalex.org/W7124165293","doi":"https://doi.org/10.1109/tvcg.2026.3653244","title":"MAGIC: <u>M</u> arching Cubes Isosurface Uncertainty Visualization for <u>G</u> auss <u>i</u> an Uncertain Data With Spatial <u>C</u> orrelation","display_name":"MAGIC: <u>M</u> arching Cubes Isosurface Uncertainty Visualization for <u>G</u> auss <u>i</u> an Uncertain Data With Spatial <u>C</u> orrelation","publication_year":2026,"publication_date":"2026-01-14","ids":{"openalex":"https://openalex.org/W7124165293","doi":"https://doi.org/10.1109/tvcg.2026.3653244","pmid":"https://pubmed.ncbi.nlm.nih.gov/41533619"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2026.3653244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2026.3653244","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","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/A5080292005","display_name":"Tushar M. Athawale","orcid":"https://orcid.org/0000-0003-3163-6274"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tushar M. Athawale","raw_affiliation_strings":["Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA"],"raw_orcid":"https://orcid.org/0000-0003-3163-6274","affiliations":[{"raw_affiliation_string":"Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123040923","display_name":"Kenneth Moreland","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth Moreland","raw_affiliation_strings":["Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA"],"raw_orcid":"https://orcid.org/0000-0002-7051-3288","affiliations":[{"raw_affiliation_string":"Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122995659","display_name":"David Pugmire","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Pugmire","raw_affiliation_strings":["Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA"],"raw_orcid":"https://orcid.org/0000-0003-0647-2634","affiliations":[{"raw_affiliation_string":"Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048780291","display_name":"Chris R. Johnson","orcid":"https://orcid.org/0000-0001-5673-5338"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chris R. Johnson","raw_affiliation_strings":["Scientific Computing and Imaging (SCI) Institute, University of Utah, Salt Lake City, UT, USA"],"raw_orcid":"https://orcid.org/0000-0001-5673-5338","affiliations":[{"raw_affiliation_string":"Scientific Computing and Imaging (SCI) Institute, University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123013387","display_name":"Paul Rosen","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Rosen","raw_affiliation_strings":["Scientific Computing and Imaging (SCI) Institute, University of Utah, Salt Lake City, UT, USA"],"raw_orcid":"https://orcid.org/0000-0002-0873-9518","affiliations":[{"raw_affiliation_string":"Scientific Computing and Imaging (SCI) Institute, University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031399553","display_name":"Matthew Norman","orcid":"https://orcid.org/0000-0003-4764-3348"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Norman","raw_affiliation_strings":["National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, USA"],"raw_orcid":"https://orcid.org/0000-0003-4764-3348","affiliations":[{"raw_affiliation_string":"National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029949290","display_name":"Antigoni Georgiadou","orcid":"https://orcid.org/0000-0002-0977-6310"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antigoni Georgiadou","raw_affiliation_strings":["National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, USA"],"raw_orcid":"https://orcid.org/0009-0001-3616-7799","affiliations":[{"raw_affiliation_string":"National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058158315","display_name":"Alireza Entezari","orcid":"https://orcid.org/0000-0001-5037-4789"},"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":false,"raw_author_name":"Alireza Entezari","raw_affiliation_strings":["Department of Computer &amp; Information Science &amp; Engineering, University of Florida, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer &amp; Information Science &amp; Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05867159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"7","first_page":"4987","last_page":"5002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.3682999908924103,"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"}},"topics":[{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.3682999908924103,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.31150001287460327,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.08060000091791153,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/isosurface","display_name":"Isosurface","score":0.9577999711036682},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.7092999815940857},{"id":"https://openalex.org/keywords/marching-cubes","display_name":"Marching cubes","score":0.6557999849319458},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.5921000242233276},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5842999815940857},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.5516999959945679},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5490999817848206},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5482000112533569},{"id":"https://openalex.org/keywords/uncertain-data","display_name":"Uncertain data","score":0.4514000117778778},{"id":"https://openalex.org/keywords/kriging","display_name":"Kriging","score":0.4372999966144562}],"concepts":[{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.9577999711036682},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.7092999815940857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6590999960899353},{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.6557999849319458},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.5921000242233276},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5842999815940857},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.5516999959945679},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5482000112533569},{"id":"https://openalex.org/C2778865114","wikidata":"https://www.wikidata.org/wiki/Q7882489","display_name":"Uncertain data","level":2,"score":0.4514000117778778},{"id":"https://openalex.org/C81692654","wikidata":"https://www.wikidata.org/wiki/Q225926","display_name":"Kriging","level":2,"score":0.4372999966144562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.426800012588501},{"id":"https://openalex.org/C137209882","wikidata":"https://www.wikidata.org/wiki/Q1403517","display_name":"Measurement uncertainty","level":2,"score":0.42340001463890076},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.39500001072883606},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.384799987077713},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3824000060558319},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.3824000060558319},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.37560001015663147},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3553999960422516},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.33869999647140503},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C78168278","wikidata":"https://www.wikidata.org/wiki/Q5227269","display_name":"Data cube","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C187192777","wikidata":"https://www.wikidata.org/wiki/Q381699","display_name":"Rejection sampling","level":5,"score":0.28859999775886536},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.2865000069141388},{"id":"https://openalex.org/C59740354","wikidata":"https://www.wikidata.org/wiki/Q2737866","display_name":"Scientific visualization","level":3,"score":0.2847000062465668},{"id":"https://openalex.org/C2781395549","wikidata":"https://www.wikidata.org/wiki/Q4680762","display_name":"Adaptive sampling","level":3,"score":0.27799999713897705},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.2646999955177307},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2549000084400177},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2026.3653244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2026.3653244","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:41533619","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41533619","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,"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 visualization and computer graphics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8119495511054993,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,120,145,160],"study":[4],"the":[5,11,42,75,92,147,151,203],"propagation":[6],"of":[7,23,44,72,91,94,153,168,205],"data":[8,49,76,136],"uncertainty":[9,33,46,70,77,128,169,208],"through":[10,210],"marching":[12,130],"cubes":[13,131],"algorithm":[14],"for":[15,18,29,69,133,198],"isosurface":[16,45],"visualization":[17,36,114,196],"correlated":[19],"uncertain":[20,135],"data.":[21],"Consideration":[22],"correlation":[24,50,139],"has":[25,51],"been":[26,52],"shown":[27],"paramount":[28],"avoiding":[30],"errors":[31],"in":[32,37,129],"quantification":[34,71,170],"and":[35,109,165,192,216],"multiple":[38],"prior":[39,61],"studies.":[40],"Although":[41],"problem":[43],"with":[47,84,137,194],"spatial":[48,85,138],"previously":[53],"addressed,":[54],"there":[55,64],"are":[56,65],"two":[57],"major":[58],"limitations":[59],"to":[60,100,111,125,185,189],"treatments.":[62],"First,":[63],"no":[66],"analytical":[67,95,158,180],"formulations":[68],"isosurfaces":[73],"when":[74],"is":[78,107],"characterized":[79],"by":[80],"a":[81,89,101,122,162],"Gaussian":[82,134,154],"distribution":[83],"correlation.":[86],"Second,":[87],"as":[88],"consequence":[90],"lack":[93],"formulations,":[96],"existing":[97],"techniques":[98],"resort":[99],"Monte":[102,173],"Carlo":[103,174],"sampling":[104],"approach,":[105],"which":[106],"expensive":[108],"difficult":[110],"integrate":[112],"into":[113],"tools.":[115],"To":[116,141],"address":[117],"these":[118],"limitations,":[119],"present":[121],"closed-form":[123,143],"framework":[124,209],"efficiently":[126],"derive":[127,142],"level-sets":[132],"(MAGIC).":[140],"solutions,":[144],"leverage":[146],"Hinkley's":[148],"derivation":[149],"on":[150,212],"ratio":[152],"distributions.":[155],"With":[156],"our":[157,179,206],"framework,":[159],"achieve":[161,186],"significant":[163],"speed-up":[164],"enhanced":[166],"accuracy":[167],"over":[171],"classical":[172],"methods.":[175],"We":[176,201],"further":[177],"accelerate":[178],"solutions":[181],"using":[182],"many-core":[183],"processors":[184],"speed-ups":[187],"up":[188],"$\\text{585}":[190],"\\times$585\u00d7":[191],"integrability":[193],"production":[195],"tools":[197],"broader":[199],"impact.":[200],"demonstrate":[202],"effectiveness":[204],"correlation-aware":[207],"experiments":[211],"meteorology,":[213],"urban":[214],"flow,":[215],"astrophysics":[217],"simulation":[218],"datasets.":[219]},"counts_by_year":[],"updated_date":"2026-06-24T06:17:17.354583","created_date":"2026-01-15T00:00:00"}