{"id":"https://openalex.org/W4387934893","doi":"https://doi.org/10.1109/tvcg.2023.3326519","title":"Visualization of Discontinuous Vector Field Topology","display_name":"Visualization of Discontinuous Vector Field Topology","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387934893","doi":"https://doi.org/10.1109/tvcg.2023.3326519","pmid":"https://pubmed.ncbi.nlm.nih.gov/37878439"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2023.3326519","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tvcg.2023.3326519","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/A5044186469","display_name":"Egzon Miftari","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Egzon Miftari","raw_affiliation_strings":["Heidelberg University, Germany"],"affiliations":[{"raw_affiliation_string":"Heidelberg University, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056788018","display_name":"Daniel Durstewitz","orcid":"https://orcid.org/0000-0002-9340-3786"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Durstewitz","raw_affiliation_strings":["Heidelberg University, Germany"],"affiliations":[{"raw_affiliation_string":"Heidelberg University, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011941798","display_name":"Filip Sadlo","orcid":"https://orcid.org/0000-0002-8949-8452"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Filip Sadlo","raw_affiliation_strings":["Heidelberg University, Germany"],"affiliations":[{"raw_affiliation_string":"Heidelberg University, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044186469"],"corresponding_institution_ids":["https://openalex.org/I223822909"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32408692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"1","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9724000096321106,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9724000096321106,"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"}},{"id":"https://openalex.org/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9282000064849854,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.925599992275238,"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/vector-field","display_name":"Vector field","score":0.7755792140960693},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6665667295455933},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5783025622367859},{"id":"https://openalex.org/keywords/streamlines-streaklines-and-pathlines","display_name":"Streamlines, streaklines, and pathlines","score":0.5502241253852844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5160912871360779},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.45160117745399475},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.443071573972702},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.4280095100402832},{"id":"https://openalex.org/keywords/complex-lamellar-vector-field","display_name":"Complex lamellar vector field","score":0.4112184941768646},{"id":"https://openalex.org/keywords/solenoidal-vector-field","display_name":"Solenoidal vector field","score":0.3243900537490845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28100717067718506},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18335488438606262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16297578811645508},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1456281840801239},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13867121934890747},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13026919960975647}],"concepts":[{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7755792140960693},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6665667295455933},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5783025622367859},{"id":"https://openalex.org/C60439489","wikidata":"https://www.wikidata.org/wiki/Q634407","display_name":"Streamlines, streaklines, and pathlines","level":2,"score":0.5502241253852844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5160912871360779},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.45160117745399475},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.443071573972702},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.4280095100402832},{"id":"https://openalex.org/C112280298","wikidata":"https://www.wikidata.org/wiki/Q5156582","display_name":"Complex lamellar vector field","level":4,"score":0.4112184941768646},{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.3243900537490845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28100717067718506},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18335488438606262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16297578811645508},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1456281840801239},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13867121934890747},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13026919960975647},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2023.3326519","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tvcg.2023.3326519","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:37878439","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37878439","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W34271111","https://openalex.org/W1999616998","https://openalex.org/W2028937404","https://openalex.org/W2073470731","https://openalex.org/W2074259495","https://openalex.org/W2111862827","https://openalex.org/W2125638038","https://openalex.org/W2146680024","https://openalex.org/W2416376717","https://openalex.org/W2840275391","https://openalex.org/W2968465788","https://openalex.org/W3042607521","https://openalex.org/W3148803860","https://openalex.org/W3175589871","https://openalex.org/W4230708622","https://openalex.org/W4246012909","https://openalex.org/W4293078920","https://openalex.org/W6679435979"],"related_works":["https://openalex.org/W246067103","https://openalex.org/W2996354014","https://openalex.org/W2180574938","https://openalex.org/W2025438663","https://openalex.org/W1459117173","https://openalex.org/W2478780871","https://openalex.org/W1216769707","https://openalex.org/W1983126371","https://openalex.org/W47835102","https://openalex.org/W2768529477"],"abstract_inverted_index":{"This":[0,34],"paper":[1],"extends":[2],"the":[3,6,19,75],"concept":[4,31,35],"and":[5,40,73,77,87],"visualization":[7],"of":[8,21,28,32,51,79],"vector":[9,13,42,47,70],"field":[10,43,71],"topology":[11,44],"to":[12,38,45],"fields":[14,25,48],"with":[15,68],"discontinuities.":[16],"We":[17,54],"address":[18],"non-uniqueness":[20],"flow":[22],"in":[23,49],"such":[24],"by":[26],"introduction":[27],"a":[29,88],"time-reversible":[30],"equivalence.":[33],"generalizes":[36],"streamlines":[37],"streamsets":[39],"thus":[41],"discontinuous":[46],"terms":[50],"invariant":[52],"streamsets.":[53],"identify":[55],"respective":[56],"novel":[57],"critical":[58],"structures":[59],"as":[60,62],"well":[61],"their":[63,66],"manifolds,":[64],"investigate":[65],"interplay":[67],"traditional":[69],"topology,":[72],"detail":[74],"application":[76],"interpretation":[78],"our":[80],"approach":[81],"using":[82],"specifically":[83],"designed":[84],"synthetic":[85],"cases":[86],"simulated":[89],"case":[90],"from":[91],"physics.":[92]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}