{"id":"https://openalex.org/W1519968864","doi":"https://doi.org/10.1016/j.ins.2015.06.002","title":"QTC3D: Extending the qualitative trajectory calculus to three dimensions","display_name":"QTC3D: Extending the qualitative trajectory calculus to three dimensions","publication_year":2015,"publication_date":"2015-06-16","ids":{"openalex":"https://openalex.org/W1519968864","doi":"https://doi.org/10.1016/j.ins.2015.06.002","mag":"1519968864"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2015.06.002","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ins.2015.06.002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000536361","display_name":"Nikolaos Mavridis","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos Mavridis","raw_affiliation_strings":["Institute of Informatics and Telecommunication, NCSR Demokritos, Greece"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunication, NCSR Demokritos, Greece","institution_ids":["https://openalex.org/I203474044"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023298828","display_name":"Nicola Bellotto","orcid":"https://orcid.org/0000-0001-7950-9608"},"institutions":[{"id":"https://openalex.org/I51532219","display_name":"University of Lincoln","ror":"https://ror.org/03yeq9x20","country_code":"GB","type":"education","lineage":["https://openalex.org/I51532219"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nicola Bellotto","raw_affiliation_strings":["School of Computer Science, University of Lincoln, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Lincoln, United Kingdom","institution_ids":["https://openalex.org/I51532219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087574965","display_name":"Konstantinos Iliopoulos","orcid":"https://orcid.org/0000-0003-3626-9493"},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Konstantinos Iliopoulos","raw_affiliation_strings":["Institute of Informatics and Telecommunication, NCSR Demokritos, Greece"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunication, NCSR Demokritos, Greece","institution_ids":["https://openalex.org/I203474044"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005183296","display_name":"Nico Van de Weghe","orcid":"https://orcid.org/0000-0002-5327-4000"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Nico Van de Weghe","raw_affiliation_strings":["Department of Geography, Ghent University, Belgium#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Geography, Ghent University, Belgium#TAB#","institution_ids":["https://openalex.org/I32597200"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3330,"currency":"USD","value_usd":3330,"provenance":"doaj"},"apc_paid":{"value":3330,"currency":"USD","value_usd":3330,"provenance":"doaj"},"fwci":2.06,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":11,"citation_normalized_percentile":{"value":0.896012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":"322","issue":null,"first_page":"20","last_page":"30"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9988,"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"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9988,"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/T11106","display_name":"Data Management and Algorithms","score":0.9965,"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/T10757","display_name":"Geographic Information Systems Studies","score":0.9857,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.71679354},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6114603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.58110714},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.51797163},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4558041},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4325144},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36141187},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33961028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31946567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29446477},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1486367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08380416},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2015.06.002","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/7221142","pdf_url":"https://biblio.ugent.be/publication/7221142/file/7221209.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":["Ghent University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/7221142/file/7221209","pdf_url":"https://biblio.ugent.be/publication/7221142/file/7221209","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":["Ghent University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.3779","pdf_url":"http://arxiv.org/pdf/1402.3779","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1402.3779","pdf_url":"https://arxiv.org/pdf/1402.3779","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ins.2015.06.002","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":34,"referenced_works":["https://openalex.org/W133142268","https://openalex.org/W1485179986","https://openalex.org/W1582172611","https://openalex.org/W1751996524","https://openalex.org/W180883448","https://openalex.org/W1836603884","https://openalex.org/W1967321478","https://openalex.org/W1967545733","https://openalex.org/W1968340857","https://openalex.org/W1980775681","https://openalex.org/W1999438008","https://openalex.org/W2003108457","https://openalex.org/W2047595582","https://openalex.org/W2056487692","https://openalex.org/W2065994824","https://openalex.org/W2080608870","https://openalex.org/W2094064416","https://openalex.org/W2122136744","https://openalex.org/W2133039566","https://openalex.org/W2134576786","https://openalex.org/W2139498446","https://openalex.org/W2152132532","https://openalex.org/W2157916926","https://openalex.org/W2161484642","https://openalex.org/W2163359382","https://openalex.org/W2266010260","https://openalex.org/W2312681412","https://openalex.org/W2611243847","https://openalex.org/W4255043459","https://openalex.org/W4388314312","https://openalex.org/W590802936","https://openalex.org/W60681538","https://openalex.org/W852874","https://openalex.org/W85920217"],"related_works":["https://openalex.org/W4360995134","https://openalex.org/W4323768008","https://openalex.org/W4296209631","https://openalex.org/W4294811468","https://openalex.org/W4248382324","https://openalex.org/W408992594","https://openalex.org/W3131574667","https://openalex.org/W2561617217","https://openalex.org/W2355801475","https://openalex.org/W2101105382"],"abstract_inverted_index":{"Spatial":[0],"interactions":[1,200],"between":[2,108,201],"agents":[3],"(humans,":[4],"animals,":[5],"or":[6,15,111],"machines)":[7],"carry":[8],"information":[9,22],"of":[10,27,39,61,83,142,149,172,181,190,198],"high":[11],"value":[12],"to":[13,97,186],"human":[14],"electronic":[16],"observers.":[17],"However,":[18,79],"not":[19],"all":[20],"the":[21,34,67,143,147,150,155,179,187],"contained":[23],"in":[24,66,119],"a":[25,53,125],"pair":[26],"continuous":[28],"trajectories":[29,41,148],"is":[30,52,92,123,138,183],"important":[31],"and":[32,69,160],"thus":[33],"need":[35],"for":[36],"qualitative":[37,127],"descriptions":[38],"interaction":[40,77],"arises.":[42],"The":[43],"Qualitative":[44],"Trajectory":[45],"Calculus":[46],"(QTC)":[47],"(Van":[48],"de":[49],"Weghe,":[50],"2004)":[51],"promising":[54],"development":[55],"towards":[56,74,174],"this":[57,120],"goal.":[58],"Numerous":[59],"variants":[60],"QTC":[62,70,85,182],"have":[63],"been":[64,72],"proposed":[65],"past":[68],"has":[71],"applied":[73],"analyzing":[75],"various":[76],"domains.":[78],"an":[80,170],"inherent":[81],"limitation":[82],"those":[84,106],"variations":[86],"that":[87,93,117,130],"deal":[88,132],"with":[89,133],"lateral":[90],"movements":[91],"they":[94],"are":[95],"limited":[96],"two-dimensional":[98],"motion;":[99],"therefore,":[100],"complex":[101],"three-dimensional":[102,135],"interactions,":[103],"such":[104],"as":[105,162,164],"occurring":[107],"flying":[109],"planes":[110],"birds,":[112],"cannot":[113],"be":[114],"captured.":[115],"Towards":[116],"purpose,":[118],"paper":[121],"QTC3D":[122,137,173],"presented:":[124],"novel":[126],"trajectory":[128],"calculus":[129],"can":[131],"full":[134,188],"interactions.":[136],"based":[139],"on":[140],"transformations":[141],"Frenet\u2013Serret":[144],"frames":[145],"accompanying":[146],"moving":[151],"objects.":[152],"Apart":[153],"from":[154],"theoretical":[156],"exposition,":[157],"including":[158],"definition":[159],"properties,":[161],"well":[163],"computational":[165],"aspects,":[166],"we":[167],"also":[168],"present":[169],"application":[171],"modeling":[175],"bird":[176],"flight.":[177],"Thus,":[178],"power":[180],"now":[184],"extended":[185],"dimensionality":[189],"physical":[191],"space,":[192],"enabling":[193],"succinct":[194],"yet":[195],"rich":[196],"representations":[197],"spatial":[199],"agents.":[202]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1519968864","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2024-12-10T14:42:30.491622","created_date":"2016-06-24"}