{"id":"https://openalex.org/W3189202104","doi":"https://doi.org/10.1109/vis49827.2021.9623267","title":"Uncertainty Visualization of the Marching Squares and Marching Cubes Topology Cases","display_name":"Uncertainty Visualization of the Marching Squares and Marching Cubes Topology Cases","publication_year":2021,"publication_date":"2021-10-01","ids":{"openalex":"https://openalex.org/W3189202104","doi":"https://doi.org/10.1109/vis49827.2021.9623267","mag":"3189202104"},"language":"en","primary_location":{"id":"doi:10.1109/vis49827.2021.9623267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vis49827.2021.9623267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Visualization Conference (VIS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2108.03066","any_repository_has_fulltext":true},"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/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":true,"raw_author_name":"Tushar M. Athawale","raw_affiliation_strings":["Scientific Computing & Imaging (SCI) Institute, University of Utah","University of Utah, Salt Lake City, United States"],"affiliations":[{"raw_affiliation_string":"Scientific Computing & Imaging (SCI) Institute, University of Utah","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah, Salt Lake City, United States","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089272942","display_name":"Sudhanshu Sane","orcid":"https://orcid.org/0000-0001-9789-380X"},"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":"Sudhanshu Sane","raw_affiliation_strings":["Scientific Computing & Imaging (SCI) Institute, University of Utah","University of Utah"],"affiliations":[{"raw_affiliation_string":"Scientific Computing & Imaging (SCI) Institute, University of Utah","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","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 & Imaging (SCI) Institute, University of Utah","University of Utah"],"affiliations":[{"raw_affiliation_string":"Scientific Computing & Imaging (SCI) Institute, University of Utah","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080292005"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09128927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"106","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9988999962806702,"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":0.9952999949455261,"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/visualization","display_name":"Visualization","score":0.7367760539054871},{"id":"https://openalex.org/keywords/marching-cubes","display_name":"Marching cubes","score":0.701813280582428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6025278568267822},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5552659034729004},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5229464173316956},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"Uncertainty quantification","score":0.4562770426273346},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.4318307936191559},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4219839572906494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4172824025154114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31869015097618103},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14514413475990295}],"concepts":[{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.7367760539054871},{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.701813280582428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6025278568267822},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5552659034729004},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5229464173316956},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.4562770426273346},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.4318307936191559},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4219839572906494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4172824025154114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31869015097618103},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14514413475990295},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/vis49827.2021.9623267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vis49827.2021.9623267","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Visualization Conference (VIS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2108.03066","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.03066","pdf_url":"https://arxiv.org/pdf/2108.03066","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"mag:3189202104","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2108.03066.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2108.03066","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2108.03066","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2108.03066","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2108.03066","pdf_url":"https://arxiv.org/pdf/2108.03066","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3189202104.pdf","grobid_xml":"https://content.openalex.org/works/W3189202104.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W207635167","https://openalex.org/W300909183","https://openalex.org/W1507599800","https://openalex.org/W1601042374","https://openalex.org/W1727854234","https://openalex.org/W1958729953","https://openalex.org/W1968578042","https://openalex.org/W1990779238","https://openalex.org/W1995224664","https://openalex.org/W1995875735","https://openalex.org/W2032377982","https://openalex.org/W2039740901","https://openalex.org/W2049885731","https://openalex.org/W2109657057","https://openalex.org/W2139837730","https://openalex.org/W2141653286","https://openalex.org/W2165453175","https://openalex.org/W2229412420","https://openalex.org/W2289850517","https://openalex.org/W2471266319","https://openalex.org/W2904304629","https://openalex.org/W3085701794","https://openalex.org/W3168198506","https://openalex.org/W4233857083","https://openalex.org/W4239607958","https://openalex.org/W6602063956","https://openalex.org/W6771725849","https://openalex.org/W6963542639"],"related_works":["https://openalex.org/W1958729953","https://openalex.org/W2803668755","https://openalex.org/W2095233635","https://openalex.org/W2028937404","https://openalex.org/W2072745018","https://openalex.org/W3015983852","https://openalex.org/W2899945104","https://openalex.org/W2163572287","https://openalex.org/W3016372110","https://openalex.org/W2279132844","https://openalex.org/W2027818378","https://openalex.org/W2156849739","https://openalex.org/W2559164046","https://openalex.org/W2997687993","https://openalex.org/W2084057287","https://openalex.org/W2888525380","https://openalex.org/W1966598104","https://openalex.org/W2567117621","https://openalex.org/W2130684472","https://openalex.org/W2050333948"],"abstract_inverted_index":{"Marching":[0],"squares":[1],"(MS)":[2],"and":[3,34,52,66,84,97,118,145,182],"marching":[4],"cubes":[5],"(MC)":[6],"are":[7],"widely":[8],"used":[9],"algorithms":[10,36,99],"for":[11,37,56,87,116],"level-set":[12],"visualization":[13,26,48],"of":[14,24,27,31,49,69,75,94,113,156,174],"scientific":[15],"data.":[16],"In":[17],"this":[18],"paper,":[19],"we":[20],"address":[21],"the":[22,28,32,50,67,80,91,95,111,124,142,149,154,163,172],"challenge":[23],"uncertainty":[25,89,120,127,158],"topology":[29,54,71,81,92],"cases":[30,55,72,93],"MS":[33,51,96,143],"MC":[35,53,98,150],"uncertain":[38,57],"scalar":[39],"field":[40],"data":[41,58,103],"sampled":[42],"on":[43,179],"a":[44,76],"uniform":[45],"grid.":[46,77],"The":[47],"is":[59,104],"challenging":[60],"due":[61],"to":[62,132],"their":[63],"exponential":[64],"nature":[65],"possibility":[68],"multiple":[70],"per":[73],"cell":[74],"We":[78,109,122,152,170],"propose":[79],"case":[82,144],"count":[83],"entropy-based":[85],"techniques":[86,115,176],"quantifying":[88],"in":[90,102,141,148,161],"when":[100],"noise":[101],"modeled":[105],"with":[106,137],"probability":[107,139],"distributions.":[108],"demonstrate":[110,153],"applicability":[112],"our":[114,157,175],"independent":[117],"correlated":[119],"assumptions.":[121],"visualize":[123],"quantified":[125],"topological":[126,168],"via":[128,177],"color":[129],"mapping":[130],"proportional":[131],"uncertainty,":[133],"as":[134,136],"well":[135],"interactive":[138],"queries":[140],"entropy":[146],"isosurfaces":[147],"case.":[151],"utility":[155],"quantification":[159],"framework":[160],"identifying":[162],"isovalues":[164],"exhibiting":[165],"relatively":[166],"high":[167],"uncertainty.":[169],"illustrate":[171],"effectiveness":[173],"results":[178],"synthetic,":[180],"simulation,":[181],"hixel":[183],"datasets.":[184]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}