{"id":"https://openalex.org/W3018982745","doi":"https://doi.org/10.1145/3597640","title":"Fr\u00e9chet Distance for Uncertain Curves","display_name":"Fr\u00e9chet Distance for Uncertain Curves","publication_year":2023,"publication_date":"2023-05-23","ids":{"openalex":"https://openalex.org/W3018982745","doi":"https://doi.org/10.1145/3597640","mag":"3018982745"},"language":"en","primary_location":{"id":"doi:10.1145/3597640","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3597640","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3597640","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3597640","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077490455","display_name":"Kevin Buchin","orcid":"https://orcid.org/0000-0002-3022-7877"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kevin Buchin","raw_affiliation_strings":["TU Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"TU Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080242645","display_name":"Chenglin Fan","orcid":"https://orcid.org/0009-0007-7645-8367"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Chenglin Fan","raw_affiliation_strings":["Sorbonne Universit\u00e9, France"],"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035284028","display_name":"Maarten L\u00f6ffler","orcid":"https://orcid.org/0009-0001-9403-8856"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Maarten L\u00f6ffler","raw_affiliation_strings":["Utrecht University, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Utrecht University, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067489669","display_name":"Aleksandr Popov","orcid":"https://orcid.org/0000-0002-0158-1746"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Aleksandr Popov","raw_affiliation_strings":["TU Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"TU Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054913384","display_name":"Benjamin Raichel","orcid":"https://orcid.org/0000-0001-6584-4843"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benjamin Raichel","raw_affiliation_strings":["University of Texas at Dallas, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031959850","display_name":"Marcel Roeloffzen","orcid":"https://orcid.org/0000-0002-1129-461X"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marcel Roeloffzen","raw_affiliation_strings":["TU Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"TU Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5077490455"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":1.1773,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77342156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"3","first_page":"1","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.97079998254776,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.7750416398048401},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.700873613357544},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6004937887191772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5631616711616516},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.528292179107666},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4506976902484894},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.4449107348918915},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.43113061785697937},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4302249550819397},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27618294954299927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27295777201652527}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7750416398048401},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.700873613357544},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6004937887191772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5631616711616516},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.528292179107666},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4506976902484894},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.4449107348918915},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.43113061785697937},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4302249550819397},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27618294954299927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27295777201652527},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3597640","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3597640","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3597640","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.11862","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.11862","pdf_url":"https://arxiv.org/pdf/2004.11862","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.tue.nl:openaire/2587990d-61ac-482f-b7fd-84d77caa3000","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/2587990d-61ac-482f-b7fd-84d77caa3000","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Buchin, K, Fan, C, L\u00f6ffler, M, Popov, A, Raichel, B & Roeloffzen, M 2020, Fr\u00e9chet Distance for Uncertain Curves. in A Czumaj, A Dawar & E Merelli (eds), 47th International Colloquium on Automata, Languages, and Programming, ICALP 2020 : ICALP 2020., 20, Leibniz International Proceedings in Informatics (LIPIcs), vol. 168, Schloss Dagstuhl - Leibniz-Zentrum f\u00fcr Informatik, Dagstuhl, Germany, 47th International Colloquium on Automata, Languages, and Programming, Saarbr\u00fccken, Saarland, Germany, 8/07/20. https://doi.org/10.4230/LIPIcs.ICALP.2020.20","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/8b994a3b-b411-4b67-9f30-8f6ae7da63fa","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/8b994a3b-b411-4b67-9f30-8f6ae7da63fa","pdf_url":"https://pure.tue.nl/ws/files/303742729/3597640.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Buchin, K, Fan, C, L\u00f6ffler, M, Popov, A, Raichel, B & Roeloffzen, M 2023, 'Fr\u00e9chet Distance for Uncertain Curves', ACM Transactions on Algorithms, vol. 19, no. 3, 29. https://doi.org/10.1145/3597640","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.tue.nl:publications/8b994a3b-b411-4b67-9f30-8f6ae7da63fa","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85166389801&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Buchin, K, Fan, C, L\u00f6ffler, M, Popov, A, Raichel, B & Roeloffzen, M 2023, 'Fr\u00e9chet Distance for Uncertain Curves', ACM Transactions on Algorithms, vol. 19, no. 3, 29. https://doi.org/10.1145/3597640","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.4230/lipics.icalp.2020.20","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.icalp.2020.20","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"doi:10.1145/3597640","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3597640","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3597640","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G1341482105","display_name":null,"funder_award_id":"614.001.504","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3068938195","display_name":null,"funder_award_id":"628.011.005","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3154834737","display_name":null,"funder_award_id":"614.001.504, 628.011.005, 612.001.801","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7421958168","display_name":"CAREER:  AF: Giving Form to Data with a Geometric Scaffold","funder_award_id":"1750780","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8203683205","display_name":null,"funder_award_id":"612.001.801","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8779086508","display_name":"CRII: AF: Breaking Barriers for Geometric Data","funder_award_id":"1566137","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3018982745.pdf","grobid_xml":"https://content.openalex.org/works/W3018982745.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W116902681","https://openalex.org/W581837698","https://openalex.org/W838615464","https://openalex.org/W1482356393","https://openalex.org/W1500274311","https://openalex.org/W1547243772","https://openalex.org/W1548261389","https://openalex.org/W1567218086","https://openalex.org/W1796251476","https://openalex.org/W1897841194","https://openalex.org/W1972925770","https://openalex.org/W2008735761","https://openalex.org/W2010536454","https://openalex.org/W2020874136","https://openalex.org/W2025309272","https://openalex.org/W2041094480","https://openalex.org/W2083364906","https://openalex.org/W2091921805","https://openalex.org/W2098990662","https://openalex.org/W2108250208","https://openalex.org/W2118291925","https://openalex.org/W2119339514","https://openalex.org/W2121770144","https://openalex.org/W2124299914","https://openalex.org/W2128160875","https://openalex.org/W2138414767","https://openalex.org/W2138661093","https://openalex.org/W2147026670","https://openalex.org/W2151954874","https://openalex.org/W2156214851","https://openalex.org/W2161871333","https://openalex.org/W2170166043","https://openalex.org/W2172137407","https://openalex.org/W2531454488","https://openalex.org/W2568308068","https://openalex.org/W2568894355","https://openalex.org/W2570995828","https://openalex.org/W2571224072","https://openalex.org/W2588820692","https://openalex.org/W2727916167","https://openalex.org/W2731672939","https://openalex.org/W2782115217","https://openalex.org/W2799440965","https://openalex.org/W2805761617","https://openalex.org/W2805930752","https://openalex.org/W2810764694","https://openalex.org/W2883800004","https://openalex.org/W2898206828","https://openalex.org/W2949439292","https://openalex.org/W2950595168","https://openalex.org/W2962927274","https://openalex.org/W2963946018","https://openalex.org/W2974898342","https://openalex.org/W2976149974","https://openalex.org/W2988806372","https://openalex.org/W3021886364","https://openalex.org/W3162102340","https://openalex.org/W3195399322"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W2006389905","https://openalex.org/W2296389180","https://openalex.org/W1176887380","https://openalex.org/W2622957143"],"abstract_inverted_index":{"In":[0,122],"this":[1],"article,":[2],"we":[3,69,145,165,212,221],"study":[4,213],"a":[5,25,34,36,40,47,50,63,199],"wide":[6],"range":[7],"of":[8,27,42,46,91,193],"variants":[9],"for":[10,88,101,117,172,202,232,243],"computing":[11,148],"the":[12,73,82,92,102,111,118,124,149,162,173,185,191,194,203,214,223,226,233],"(discrete":[13,127,151],"and":[14,62,75,84,109,131,152,188,228,236,239],"continuous)":[15,132,153],"Fr\u00e9chet":[16,78,86,103,120,133,154,186,241],"distance":[17,87,104,134,155,187,242],"between":[18,225],"uncertain":[19,22,60],"curves.":[20,93],"An":[21],"curve":[23,48,61],"is":[24,33,49,156,179,184],"sequence":[26],"uncertainty":[28,107,244],"regions,":[29],"where":[30,182,220],"each":[31,56],"region":[32],"disk,":[35],"line":[37],"segment,":[38],"or":[39,66],"set":[41],"points.":[43],"A":[44],"realisation":[45],"polyline":[51],"connecting":[52],"one":[53],"point":[54,247],"from":[55],"region.":[57],"Given":[58],"an":[59,167],"second":[64],"(certain":[65],"uncertain)":[67],"curve,":[68],"seek":[70],"to":[71],"compute":[72],"lower":[74,125,174],"upper":[76,112,234],"bound":[77,113,126,175,235],"distance,":[79],"which":[80],"are":[81,99],"minimum":[83],"maximum":[85],"any":[89],"realisations":[90],"We":[94,196],"prove":[95],"that":[96,110,147],"both":[97],"problems":[98],"NP-hard":[100],"in":[105,138,141,158,169],"several":[106],"models,":[108],"problem":[114,176,205],"remains":[115],"hard":[116],"discrete":[119,238],"distance.":[121],"contrast,":[123],"[":[128],"5":[129],"]":[130],"can":[135],"be":[136],"computed":[137],"polynomial":[139],"time":[140,218],"some":[142,159],"models.":[143,160],"Furthermore,":[144],"show":[146,198],"expected":[150,237],"#P-hard":[157],"On":[161],"positive":[163],"side,":[164],"present":[166],"FPTAS":[168],"constant":[170],"dimension":[171],"when":[177],"\u0394/\u03b4":[178],"polynomially":[180],"bounded,":[181],"\u03b4":[183],"\u0394":[189],"bounds":[190],"diameter":[192],"regions.":[195,210],"also":[197],"near-linear-time":[200],"3-approximation":[201],"decision":[204],"on":[206],"roughly":[207],"\u03b4-separated":[208],"convex":[209],"Finally,":[211],"setting":[215],"with":[216],"Sakoe\u2013Chiba":[217],"bands,":[219],"restrict":[222],"alignment":[224],"curves,":[227],"give":[229],"polynomial-time":[230],"algorithms":[231],"continuous":[240],"modelled":[245],"as":[246],"sets.":[248]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}