{"id":"https://openalex.org/W4313421805","doi":"https://doi.org/10.1109/tvcg.2023.3238008","title":"Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data \u2013 An Algorithm and a Benchmark","display_name":"Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data \u2013 An Algorithm and a Benchmark","publication_year":2023,"publication_date":"2023-01-19","ids":{"openalex":"https://openalex.org/W4313421805","doi":"https://doi.org/10.1109/tvcg.2023.3238008","pmid":"https://pubmed.ncbi.nlm.nih.gov/37021884"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2023.3238008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3238008","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03736312","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111940992","display_name":"P J 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":"funder","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":"Pierre Guillou","raw_affiliation_strings":["CNRS and Sorbonne Université, Paris, France"],"affiliations":[{"raw_affiliation_string":"CNRS and Sorbonne Université, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089798202","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":"funder","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":"Jules Vidal","raw_affiliation_strings":["CNRS and Sorbonne Université, Paris, France"],"affiliations":[{"raw_affiliation_string":"CNRS and Sorbonne Université, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074734666","display_name":"Julien Tierny","orcid":"https://orcid.org/0000-0003-0056-2831"},"institutions":[{"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"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Tierny","raw_affiliation_strings":["CNRS and Sorbonne Université, Paris, France"],"affiliations":[{"raw_affiliation_string":"CNRS and Sorbonne Université, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111940992"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":2.8369,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91828923,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"30","issue":"4","first_page":"1897","last_page":"1915"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9790999889373779,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.935699999332428,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7125331163406372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6858448386192322},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40025821328163147},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11963009834289551}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7125331163406372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6858448386192322},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40025821328163147},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11963009834289551}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tvcg.2023.3238008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2023.3238008","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:37021884","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37021884","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:HAL:hal-03736312v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03736312","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, In press, pp.1-18. ⟨10.1109/TVCG.2023.3238008⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03736312v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03736312","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, In press, pp.1-18. ⟨10.1109/TVCG.2023.3238008⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G465780485","display_name":null,"funder_award_id":"ERC-2019-COG","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":100,"referenced_works":["https://openalex.org/W107886322","https://openalex.org/W114663402","https://openalex.org/W124643305","https://openalex.org/W1481632020","https://openalex.org/W1486721501","https://openalex.org/W1523441917","https://openalex.org/W1600748172","https://openalex.org/W1920826835","https://openalex.org/W1927021626","https://openalex.org/W1970454523","https://openalex.org/W1971117671","https://openalex.org/W1983948426","https://openalex.org/W2002165972","https://openalex.org/W2008581147","https://openalex.org/W2017128277","https://openalex.org/W2029833645","https://openalex.org/W2036022226","https://openalex.org/W2039522712","https://openalex.org/W2050984357","https://openalex.org/W2052911743","https://openalex.org/W2058909785","https://openalex.org/W2067332575","https://openalex.org/W2075608792","https://openalex.org/W2077891293","https://openalex.org/W2096510084","https://openalex.org/W2101570837","https://openalex.org/W2102692026","https://openalex.org/W2104284394","https://openalex.org/W2106275081","https://openalex.org/W2110228172","https://openalex.org/W2112648573","https://openalex.org/W2123207641","https://openalex.org/W2124338751","https://openalex.org/W2131493622","https://openalex.org/W2135609792","https://openalex.org/W2142345929","https://openalex.org/W2145347746","https://openalex.org/W2146019744","https://openalex.org/W2147408215","https://openalex.org/W2150372924","https://openalex.org/W2155796097","https://openalex.org/W2157514509","https://openalex.org/W2157701289","https://openalex.org/W2325955172","https://openalex.org/W2333586270","https://openalex.org/W2411877106","https://openalex.org/W2475195788","https://openalex.org/W2510065794","https://openalex.org/W2541190230","https://openalex.org/W2752449915","https://openalex.org/W2753153359","https://openalex.org/W2789480745","https://openalex.org/W2792823369","https://openalex.org/W2884740671","https://openalex.org/W2892377642","https://openalex.org/W2897738333","https://openalex.org/W2902125368","https://openalex.org/W2942900780","https://openalex.org/W2956257765","https://openalex.org/W2962844619","https://openalex.org/W2963417577","https://openalex.org/W2963993470","https://openalex.org/W2969302812","https://openalex.org/W2977818912","https://openalex.org/W2994761520","https://openalex.org/W2997113231","https://openalex.org/W2997483984","https://openalex.org/W3013843370","https://openalex.org/W3030333185","https://openalex.org/W3040711236","https://openalex.org/W3045716741","https://openalex.org/W3090266290","https://openalex.org/W3091564511","https://openalex.org/W3103629626","https://openalex.org/W3113202345","https://openalex.org/W3123536599","https://openalex.org/W3138205514","https://openalex.org/W3175762873","https://openalex.org/W3191198536","https://openalex.org/W3200978056","https://openalex.org/W4213199372","https://openalex.org/W4233964287","https://openalex.org/W4246219036","https://openalex.org/W4246354968","https://openalex.org/W4255383393","https://openalex.org/W4287817216","https://openalex.org/W6601173283","https://openalex.org/W6650498234","https://openalex.org/W6675107399","https://openalex.org/W6686900618","https://openalex.org/W6715519383","https://openalex.org/W6737963630","https://openalex.org/W6762297302","https://openalex.org/W6766477766","https://openalex.org/W6775836593","https://openalex.org/W6776918190","https://openalex.org/W6778158727","https://openalex.org/W6780608082","https://openalex.org/W6797022572","https://openalex.org/W6800941685"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298"],"abstract_inverted_index":{"This":[0,130],"paper":[1],"introduces":[2],"an":[3,11,140,187],"efficient":[4],"algorithm":[5,35,192,201,215],"for":[6,84,133,164,193],"persistence":[7,101,107],"diagram":[8],"computation,":[9],"given":[10],"input":[12,60,162],"piecewise":[13],"linear":[14],"scalar":[15],"field":[16],"$f$f":[17],"defined":[18],"on":[19],"a":[20,117,155,228,235,245],"$d$d-dimensional":[21],"simplicial":[22],"complex":[23],"$\\mathcal":[24,95,98,168],"{K}$K,":[25],"with":[26,43,116,234],"$d":[27],"\\leq":[28],"3$d\u22643.":[29],"Our":[30],"work":[31],"revisits":[32],"the":[33,57,72,85,89,119,125,134,149,159,165,170,174,208,212,239],"seminal":[34,213],"\"PairSimplices\"":[36,77,214],"(Edelsbrunner":[37,78],"et":[38,51,79,145],"al.":[39,52,80,146],"2002),":[40,81],"(Zomorodian,":[41,82],"2010)":[42,83],"discrete":[44],"Morse":[45],"theory":[46],"(DMT)":[47],"(Forman,":[48],"1998),":[49],"(Robins":[50],"2011),":[53],"which":[54,152],"greatly":[55],"reduces":[56],"number":[58,160],"of":[59,88,122,128,143,158,161,167,173,190,206,211,230],"simplices":[61,163],"to":[62,68,148],"consider.":[63],"Further,":[64],"we":[65,177],"also":[66,220],"extend":[67],"DMT":[69],"and":[70,91,97,105,124,137,224],"accelerate":[71],"stratification":[73],"strategy":[74],"described":[75],"in":[76,154],"fast":[86,131],"computation":[87,166],"$0^{th}$":[90],"$(d-1)^{th}$(d-1)th":[92],"diagrams,":[93],"noted":[94],"{D}_{0}(f)$D0(f)":[96],"{D}_{d-1}(f)$Dd-1(f).":[99],"Minima-saddle":[100],"pairs":[102,108],"($\\mathcal":[103,109],"{D}_{0}(f)$D0(f))":[104],"saddle-maximum":[106],"{D}_{d-1}(f)$Dd-1(f))":[110],"are":[111],"efficiently":[112],"computed":[113],"by":[114,203],"processing,":[115],"Union-Find,":[118],"unstable":[120],"sets":[121,127],"1-saddles":[123],"stable":[126],"$(d-1)$(d-1)-saddles.":[129],"pre-computation":[132],"dimensions":[135],"0":[136],"$(d-1)$(d-1)":[138],"enables":[139],"aggressive":[141],"specialization":[142],"(Bauer":[144],"2014)":[147],"3D":[150],"case,":[151],"results":[153],"drastic":[156],"reduction":[157],"{D}_{1}(f)$D1(f),":[169],"intermediate":[171],"layer":[172],"sandwich.":[175],"Finally,":[176],"document":[178],"several":[179],"performance":[180,210,226],"improvements":[181],"via":[182],"shared-memory":[183],"parallelism.":[184],"We":[185],"provide":[186],"open-source":[188],"implementation":[189],"our":[191,200],"reproducibility":[194],"purposes.":[195],"Extensive":[196],"experiments":[197],"indicate":[198],"that":[199],"improves":[202,221],"two":[204],"orders":[205],"magnitude":[207],"time":[209,225],"it":[216,219],"extends.":[217],"Moreover,":[218],"memory":[222],"footprint":[223],"over":[227,238],"selection":[229],"14":[231],"competing":[232],"approaches,":[233,242],"substantial":[236],"gain":[237],"fastest":[240],"available":[241],"while":[243],"producing":[244],"strictly":[246],"identical":[247],"output.":[248]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}