{"id":"https://openalex.org/W3005994687","doi":"https://doi.org/10.1137/20m1384804","title":"Kinetic Geodesic Voronoi Diagrams in a Simple Polygon","display_name":"Kinetic Geodesic Voronoi Diagrams in a Simple Polygon","publication_year":2023,"publication_date":"2023-10-12","ids":{"openalex":"https://openalex.org/W3005994687","doi":"https://doi.org/10.1137/20m1384804","mag":"3005994687"},"language":"en","primary_location":{"id":"doi:10.1137/20m1384804","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1384804","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.library.uu.nl/handle/1874/414868","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012765386","display_name":"Matias Korman","orcid":"https://orcid.org/0000-0002-4880-1101"},"institutions":[{"id":"https://openalex.org/I4210151799","display_name":"Siemens Healthcare (United States)","ror":"https://ror.org/054962n91","country_code":"US","type":"company","lineage":["https://openalex.org/I4210151799"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matias Korman","raw_affiliation_strings":["Siemens Electronic Design Automation, Wilsonville, OR 97070 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siemens Electronic Design Automation, Wilsonville, OR 97070 USA","institution_ids":["https://openalex.org/I4210151799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042432858","display_name":"Andr\u00e9 van Renssen","orcid":"https://orcid.org/0000-0002-9294-9947"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 van Renssen","raw_affiliation_strings":["School of Computer Science, University of Sydney, Sydney, NSW 2006, Australia"],"raw_orcid":"https://orcid.org/0000-0002-9294-9947","affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Sydney, Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","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":["Department of Mathematics and Computer Science, TU Eindhoven, Eindhoven, 5612 AZ, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU Eindhoven, Eindhoven, 5612 AZ, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032979919","display_name":"Frank Staals","orcid":null},"institutions":[{"id":"https://openalex.org/I173063890","display_name":"University of Applied Sciences Utrecht","ror":"https://ror.org/028z9kw20","country_code":"NL","type":"education","lineage":["https://openalex.org/I173063890"]},{"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":"Frank Staals","raw_affiliation_strings":["Department of Information and Computing Sciences, Utrecht University, Utrecht, 3584 CS, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Computing Sciences, Utrecht University, Utrecht, 3584 CS, The Netherlands","institution_ids":["https://openalex.org/I173063890","https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3138,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79969964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"37","issue":"4","first_page":"2276","last_page":"2311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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/T11106","display_name":"Data Management and Algorithms","score":0.9968000054359436,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9940000176429749,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.9750869274139404},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.8455526828765869},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.7410596013069153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6524500846862793},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.6504833102226257},{"id":"https://openalex.org/keywords/weighted-voronoi-diagram","display_name":"Weighted Voronoi diagram","score":0.6052224636077881},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5607065558433533},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.487571656703949},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46001550555229187},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.41763442754745483},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3544396162033081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33270537853240967},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3220081925392151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2618069052696228},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0724743902683258}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9750869274139404},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8455526828765869},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.7410596013069153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6524500846862793},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.6504833102226257},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.6052224636077881},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5607065558433533},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.487571656703949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46001550555229187},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.41763442754745483},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3544396162033081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33270537853240967},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3220081925392151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2618069052696228},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0724743902683258},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1384804","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1384804","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dspace.library.uu.nl:1874/414868","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/414868","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":null,"raw_type":"Part of book"}],"best_oa_location":{"id":"pmh:oai:dspace.library.uu.nl:1874/414868","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/414868","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":null,"raw_type":"Part of book"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5699999928474426}],"awards":[{"id":"https://openalex.org/G1338876538","display_name":"More Content with Geometric Content","funder_award_id":"612.001.651","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3068938195","display_name":"Geometric Algorithms for the Analysis and Visualization of Heterogeneous Spatio-temporal Data","funder_award_id":"628.011.005","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3853770271","display_name":null,"funder_award_id":"CCF-1422311","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G648459597","display_name":null,"funder_award_id":"JPMJER1201","funder_id":"https://openalex.org/F4320338112","funder_display_name":"Exploratory Research for Advanced Technology"},{"id":"https://openalex.org/G7196357466","display_name":null,"funder_award_id":"17K12635","funder_id":"https://openalex.org/F4320338119","funder_display_name":"Collaborative Research Based on Industrial Demand"}],"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"},{"id":"https://openalex.org/F4320338112","display_name":"Exploratory Research for Advanced Technology","ror":null},{"id":"https://openalex.org/F4320338119","display_name":"Collaborative Research Based on Industrial Demand","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W243610207","https://openalex.org/W1494368934","https://openalex.org/W1975883249","https://openalex.org/W1979838628","https://openalex.org/W1992869351","https://openalex.org/W2001513095","https://openalex.org/W2002039836","https://openalex.org/W2008581147","https://openalex.org/W2009218627","https://openalex.org/W2018804864","https://openalex.org/W2024332608","https://openalex.org/W2028747718","https://openalex.org/W2034348415","https://openalex.org/W2043598638","https://openalex.org/W2049534753","https://openalex.org/W2058510050","https://openalex.org/W2086474457","https://openalex.org/W2096606628","https://openalex.org/W2125805682","https://openalex.org/W2132339863","https://openalex.org/W2139230981","https://openalex.org/W2139606248","https://openalex.org/W2156831926","https://openalex.org/W2178793321","https://openalex.org/W2294820318","https://openalex.org/W2798907517","https://openalex.org/W2908074373","https://openalex.org/W2943988667","https://openalex.org/W2962749834","https://openalex.org/W2963019203","https://openalex.org/W2963407686","https://openalex.org/W2966785732","https://openalex.org/W4251391716"],"related_works":["https://openalex.org/W2369399365","https://openalex.org/W1992160534","https://openalex.org/W4239527536","https://openalex.org/W1562406979","https://openalex.org/W2384419600","https://openalex.org/W1483512156","https://openalex.org/W1930867958","https://openalex.org/W2027491349","https://openalex.org/W4242733942","https://openalex.org/W2095116525"],"abstract_inverted_index":{"We":[0,24],"study":[1],"the":[2,29,32,37,52,57,93,108,169,172,190],"geodesic":[3,53,192],"Voronoi":[4,33,54,78,151,193],"diagram":[5,34,55],"of":[6,10,31,39,95,137,171],"a":[7,16,45,68,76,133,185],"set":[8],"S":[9],"n":[11],"linearly":[12],"moving":[13],"sites":[14,58,173],"inside":[15],"static":[17],"simple":[18],"polygon":[19],"P":[20],"with":[21],"m":[22],"vertices.":[23],"identify":[25],"all":[26],"events":[27],"where":[28],"structure":[30,48],"changes,":[35],"bound":[36],"number":[38,94,136],"such":[40,96],"events,":[41],"and":[42,102,117,131,149],"then":[43],"develop":[44,113],"kinetic":[46,119],"data":[47,120,126,178],"(KDS)":[49],"that":[50,92,103],"maintains":[51],"as":[56,174,180],"move.":[59],"To":[60],"this":[61,104],"end,":[62],"we":[63,90,112,183],"first":[64],"analyze":[65],"how":[66],"often":[67],"single":[69,77],"bisector,":[70],"defined":[71,80],"by":[72,81],"two":[73],"sites,":[74,83],"or":[75],"center,":[79],"three":[82],"can":[84,162],"change.":[85],"For":[86],"both":[87,123],"these":[88,177],"structures":[89,121,127,161,179],"prove":[91],"changes":[97],"is":[98,105],"at":[99],"most":[100],"O(m\u00b3),":[101],"tight":[106],"in":[107,145,156],"worst":[109],"case.":[110],"Moreover,":[111],"compact,":[114],"responsive,":[115],"local,":[116],"efficient":[118],"for":[122,188],"structures.":[124],"Our":[125,139],"use":[128],"linear":[129],"space":[130],"process":[132],"worst-case":[134],"optimal":[135],"events.":[138],"bisector":[140],"KDS":[141,187],"handles":[142,153],"each":[143,154],"event":[144,155],"O(log":[146],"m)":[147,158],"time,":[148],"our":[150],"center":[152],"O(log\u00b2":[157],"time.":[159],"Both":[160],"be":[163],"extended":[164],"to":[165],"efficiently":[166],"support":[167],"updating":[168],"movement":[170],"well.":[175],"Using":[176],"building":[181],"blocks":[182],"obtain":[184],"compact":[186],"maintaining":[189],"full":[191],"diagram.":[194]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}