{"id":"https://openalex.org/W2178793321","doi":"https://doi.org/10.1145/2746228","title":"On Kinetic Delaunay Triangulations","display_name":"On Kinetic Delaunay Triangulations","publication_year":2015,"publication_date":"2015-06-30","ids":{"openalex":"https://openalex.org/W2178793321","doi":"https://doi.org/10.1145/2746228","mag":"2178793321"},"language":"en","primary_location":{"id":"doi:10.1145/2746228","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746228","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5014573012","display_name":"Natan Rubin","orcid":"https://orcid.org/0000-0002-7463-6728"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Natan Rubin","raw_affiliation_strings":["Ben-Gurion University of The Negev, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of The Negev, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014573012"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":2.6557,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.90270353,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"62","issue":"3","first_page":"1","last_page":"85"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9628000259399414,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.934712290763855},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6379242539405823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5838590264320374},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5059313178062439},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4787420630455017},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.4606788754463196},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.4605706036090851},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4502064287662506},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.43694204092025757},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4318731427192688},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4269405007362366},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4206346869468689},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37450918555259705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3099004626274109},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2887968420982361},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.08516106009483337}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.934712290763855},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6379242539405823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5838590264320374},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5059313178062439},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4787420630455017},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.4606788754463196},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.4605706036090851},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4502064287662506},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.43694204092025757},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4318731427192688},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4269405007362366},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4206346869468689},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37450918555259705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3099004626274109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2887968420982361},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.08516106009483337},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2746228","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746228","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328290","display_name":"Fondation Sciences Math\u00e9matiques de Paris","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W269812687","https://openalex.org/W1520127302","https://openalex.org/W1559408176","https://openalex.org/W2008581147","https://openalex.org/W2011387411","https://openalex.org/W2021185330","https://openalex.org/W2024332608","https://openalex.org/W2027982698","https://openalex.org/W2028747718","https://openalex.org/W2030545027","https://openalex.org/W2039879619","https://openalex.org/W2050167630","https://openalex.org/W2079598884","https://openalex.org/W2092074133","https://openalex.org/W2104197095","https://openalex.org/W2111128036","https://openalex.org/W2114914255","https://openalex.org/W2132063258","https://openalex.org/W2147199741","https://openalex.org/W2493051178","https://openalex.org/W2570182798","https://openalex.org/W2624483937","https://openalex.org/W2951636664","https://openalex.org/W2951813679","https://openalex.org/W4252017042","https://openalex.org/W4254977685","https://openalex.org/W4300926135"],"related_works":["https://openalex.org/W2396796996","https://openalex.org/W2088434112","https://openalex.org/W1529719486","https://openalex.org/W2001351033","https://openalex.org/W2054620026","https://openalex.org/W2381889232","https://openalex.org/W2359979928","https://openalex.org/W4254406543","https://openalex.org/W2149044706","https://openalex.org/W2385297469"],"abstract_inverted_index":{"Let":[0],"P":[1,50,53],"be":[2,77,90],"a":[3,63],"collection":[4],"of":[5,27,42,52,87],"n":[6,30],"points":[7,75,88],"in":[8,62],"the":[9,39,46],"plane,":[10],"each":[11],"moving":[12],"along":[13],"some":[14],"straight":[15],"line":[16],"at":[17,79],"unit":[18,99],"speed.":[19],"We":[20],"obtain":[21],"an":[22],"almost":[23],"tight":[24],"upper":[25],"bound":[26],"O":[28],"(":[29],"2+\u03f5":[31],"),":[32],"for":[33,98],"any":[34,73],"\u03f5":[35],">":[36],"0,":[37],"on":[38],"maximum":[40],"number":[41],"discrete":[43],"changes":[44],"that":[45,71],"Delaunay":[47],"triangulation":[48],"DT(":[49],")":[51],"experiences":[54],"during":[55],"this":[56],"motion.":[57],"Our":[58],"analysis":[59],"is":[60],"cast":[61],"purely":[64],"topological":[65],"setting,":[66],"where":[67],"we":[68],"only":[69],"assume":[70],"(i)":[72],"four":[74],"can":[76,89],"co-circular":[78],"most":[80],"three":[81],"times,":[82],"and":[83],"(ii)":[84],"no":[85],"triple":[86],"collinear":[91],"more":[92],"than":[93],"twice;":[94],"these":[95],"assumptions":[96],"hold":[97],"speed":[100],"motions.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}