{"id":"https://openalex.org/W3045716741","doi":"https://doi.org/10.1109/tvcg.2021.3060500","title":"A Progressive Approach to Scalar Field Topology","display_name":"A Progressive Approach to Scalar Field Topology","publication_year":2021,"publication_date":"2021-02-19","ids":{"openalex":"https://openalex.org/W3045716741","doi":"https://doi.org/10.1109/tvcg.2021.3060500","mag":"3045716741","pmid":"https://pubmed.ncbi.nlm.nih.gov/33606631"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2021.3060500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2021.3060500","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":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.14766","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jules Vidal","orcid":"https://orcid.org/0000-0002-1154-4391"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jules Vidal","raw_affiliation_strings":["CNRS, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":"https://orcid.org/0000-0002-1154-4391","affiliations":[{"raw_affiliation_string":"CNRS, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Pierre Guillou","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Guillou","raw_affiliation_strings":["CNRS, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"Julien Tierny","orcid":"https://orcid.org/0000-0003-0056-2831"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Tierny","raw_affiliation_strings":["CNRS, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":"https://orcid.org/0000-0003-0056-2831","affiliations":[{"raw_affiliation_string":"CNRS, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":0.9085,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77090441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"6","first_page":"2833","last_page":"2850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9807000160217285,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9807000160217285,"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/T10799","display_name":"Data Visualization and Analytics","score":0.0066999997943639755,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.00430000014603138,"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/topological-data-analysis","display_name":"Topological data analysis","score":0.604200005531311},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5989999771118164},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5983999967575073},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.5475999712944031},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5094000101089478},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4796000123023987},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43070000410079956},{"id":"https://openalex.org/keywords/topological-sorting","display_name":"Topological sorting","score":0.42320001125335693}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6873999834060669},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.604200005531311},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5989999771118164},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5983999967575073},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.5475999712944031},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5094000101089478},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4796000123023987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4562999904155731},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C176032523","wikidata":"https://www.wikidata.org/wiki/Q753127","display_name":"Topological sorting","level":3,"score":0.42320001125335693},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4122999906539917},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.40230000019073486},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3952000141143799},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36399999260902405},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C8764922","wikidata":"https://www.wikidata.org/wiki/Q17104195","display_name":"Topological graph","level":3,"score":0.29330000281333923},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.28999999165534973},{"id":"https://openalex.org/C181095308","wikidata":"https://www.wikidata.org/wiki/Q1541599","display_name":"Geometric primitive","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.27649998664855957},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C194207283","wikidata":"https://www.wikidata.org/wiki/Q1172412","display_name":"Data field","level":3,"score":0.25870001316070557},{"id":"https://openalex.org/C47600822","wikidata":"https://www.wikidata.org/wiki/Q7825032","display_name":"Topological dynamics","level":5,"score":0.25369998812675476}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvcg.2021.3060500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2021.3060500","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:33606631","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33606631","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},{"id":"pmh:oai:arXiv.org:2007.14766","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.14766","pdf_url":"https://arxiv.org/pdf/2007.14766","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":"pmh:oai:HAL:hal-03357761v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03357761","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics, 2021, 27, pp.2833-2850. ⟨10.1109/TVCG.2021.3060500⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.14766","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.14766","pdf_url":"https://arxiv.org/pdf/2007.14766","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":[{"id":"https://openalex.org/G3073260268","display_name":null,"funder_award_id":"H2020-FETHPC-2017","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":93,"referenced_works":["https://openalex.org/W123334555","https://openalex.org/W198019422","https://openalex.org/W1498712972","https://openalex.org/W1509634142","https://openalex.org/W1572617741","https://openalex.org/W1579510772","https://openalex.org/W1579792143","https://openalex.org/W1600748172","https://openalex.org/W1920826835","https://openalex.org/W1927021626","https://openalex.org/W1930589737","https://openalex.org/W1960384938","https://openalex.org/W1966598104","https://openalex.org/W1983948426","https://openalex.org/W1985873182","https://openalex.org/W1988888548","https://openalex.org/W2001887552","https://openalex.org/W2002211861","https://openalex.org/W2008581147","https://openalex.org/W2017128277","https://openalex.org/W2017709497","https://openalex.org/W2018804864","https://openalex.org/W2020428772","https://openalex.org/W2025037774","https://openalex.org/W2036022226","https://openalex.org/W2038809843","https://openalex.org/W2050439505","https://openalex.org/W2050984357","https://openalex.org/W2057869046","https://openalex.org/W2059796743","https://openalex.org/W2075608792","https://openalex.org/W2077891293","https://openalex.org/W2079386274","https://openalex.org/W2089472251","https://openalex.org/W2089666999","https://openalex.org/W2091677960","https://openalex.org/W2095326847","https://openalex.org/W2096510084","https://openalex.org/W2104284394","https://openalex.org/W2104814323","https://openalex.org/W2109354433","https://openalex.org/W2110228172","https://openalex.org/W2113518806","https://openalex.org/W2125352809","https://openalex.org/W2131493622","https://openalex.org/W2141461755","https://openalex.org/W2142345929","https://openalex.org/W2142570961","https://openalex.org/W2142767916","https://openalex.org/W2145347746","https://openalex.org/W2146019744","https://openalex.org/W2150372924","https://openalex.org/W2153617705","https://openalex.org/W2157514509","https://openalex.org/W2157701289","https://openalex.org/W2165939338","https://openalex.org/W2166376826","https://openalex.org/W2294510945","https://openalex.org/W2325955172","https://openalex.org/W2475195788","https://openalex.org/W2509962701","https://openalex.org/W2512646345","https://openalex.org/W2541190230","https://openalex.org/W2614596590","https://openalex.org/W2625688488","https://openalex.org/W2626898927","https://openalex.org/W2730123855","https://openalex.org/W2753153359","https://openalex.org/W2766114206","https://openalex.org/W2789480745","https://openalex.org/W2795173078","https://openalex.org/W2891983271","https://openalex.org/W2892037701","https://openalex.org/W2902125368","https://openalex.org/W2962844619","https://openalex.org/W2963417577","https://openalex.org/W2994761520","https://openalex.org/W2997113231","https://openalex.org/W3009330671","https://openalex.org/W3013843370","https://openalex.org/W3138205514","https://openalex.org/W3139654456","https://openalex.org/W3145348088","https://openalex.org/W4213199372","https://openalex.org/W6605203544","https://openalex.org/W6650498234","https://openalex.org/W6675107399","https://openalex.org/W6724574487","https://openalex.org/W6765262582","https://openalex.org/W6766477766","https://openalex.org/W6766964508","https://openalex.org/W6787360670","https://openalex.org/W6797022572"],"related_works":[],"abstract_inverted_index":{"This":[0,63],"article":[1],"introduces":[2],"progressive":[3,125,193],"algorithms":[4,97,145],"for":[5,47,77,83],"the":[6,21,25,40,44,61,65,84,130,156,170,173,185],"topological":[7,41,70,96,178,186],"analysis":[8],"of":[9,20,28,43,67,95,158,172,176,184],"scalar":[10],"data.":[11],"Our":[12],"approach":[13,91,160],"is":[14,54],"based":[15],"on":[16,39,119],"a":[17,190],"hierarchical":[18],"representation":[19],"input":[22],"data":[23,45],"and":[24,46,80,101,112,146,163],"fast":[26,74],"identification":[27],"topologically":[29,85],"invariant":[30,86],"vertices,":[31],"which":[32,48,72,105,113],"are":[33,58],"vertices":[34,79],"that":[35,51,123],"have":[36],"no":[37,52],"impact":[38],"description":[42],"we":[49,147],"show":[50],"computation":[53,82],"required":[55],"as":[56,180,182],"they":[57],"introduced":[59],"in":[60,127,161,189],"hierarchy.":[62],"enables":[64,169],"definition":[66],"efficient":[68],"coarse-to-fine":[69],"algorithms,":[71],"leverage":[73],"update":[75],"mechanisms":[76],"ordinary":[78],"avoid":[81],"ones.":[87],"We":[88,154],"demonstrate":[89],"our":[90,124,159],"with":[92,141,151,192],"two":[93],"examples":[94],"(critical":[98],"point":[99],"extraction":[100],"persistence":[102],"diagram":[103],"computation),":[104],"generate":[106],"interpretable":[107],"outputs":[108],"upon":[109],"interruption":[110],"requests":[111],"progressively":[114],"refine":[115],"them":[116],"otherwise.":[117],"Experiments":[118],"real-life":[120],"datasets":[121],"illustrate":[122,155],"strategy,":[126],"addition":[128],"to":[129,143],"continuous":[131],"visual":[132],"feedback":[133],"it":[134,167],"provides,":[135],"even":[136],"improves":[137],"run":[138],"time":[139,175],"performance":[140],"regard":[142],"non-progressive":[144],"describe":[148],"further":[149],"accelerations":[150],"shared-memory":[152],"parallelism.":[153],"utility":[157],"batch-mode":[162],"interactive":[164,197],"setups,":[165],"where":[166],"respectively":[168],"control":[171],"execution":[174],"complete":[177],"pipelines":[179],"well":[181],"previews":[183],"features":[187],"found":[188],"dataset,":[191],"updates":[194],"delivered":[195],"within":[196],"times.":[198]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-08-03T00:00:00"}