{"id":"https://openalex.org/W1589815768","doi":"https://doi.org/10.1142/s0218195907002367","title":"REGION INTERVISIBILITY IN TERRAINS","display_name":"REGION INTERVISIBILITY IN TERRAINS","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W1589815768","doi":"https://doi.org/10.1142/s0218195907002367","mag":"1589815768"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195907002367","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195907002367","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://idus.us.es/handle/11441/55275","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046375175","display_name":"Esther Moet","orcid":null},"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":true,"raw_author_name":"ESTHER MOET","raw_affiliation_strings":["Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053874521","display_name":"Marc van Kreveld","orcid":"https://orcid.org/0000-0001-8208-3468"},"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":"MARC VAN KREVELD","raw_affiliation_strings":["Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000419856","display_name":"Ren\u00e9 van Oostrum","orcid":"https://orcid.org/0009-0006-5734-4201"},"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":"REN\u00c9 VAN OOSTRUM","raw_affiliation_strings":["Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computing Sciences, Universiteit Utrecht, P.O.Box 80.089, 3508 TB Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046375175"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":1.6096,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86040951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"04","first_page":"331","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9922000169754028,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9879999756813049,"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/combinatorics","display_name":"Combinatorics","score":0.7668243646621704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7118291854858398},{"id":"https://openalex.org/keywords/terrain","display_name":"Terrain","score":0.6908848285675049},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5686298608779907},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5508265495300293},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5382874011993408},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.46430638432502747},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46430283784866333},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4302184283733368},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42084503173828125},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19735577702522278},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16489985585212708},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06505617499351501}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7668243646621704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7118291854858398},{"id":"https://openalex.org/C161840515","wikidata":"https://www.wikidata.org/wiki/Q186131","display_name":"Terrain","level":2,"score":0.6908848285675049},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5686298608779907},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5508265495300293},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5382874011993408},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.46430638432502747},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46430283784866333},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4302184283733368},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42084503173828125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19735577702522278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16489985585212708},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06505617499351501},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218195907002367","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195907002367","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},{"id":"pmh:oai:idus.us.es:11441/55275","is_oa":true,"landing_page_url":"https://idus.us.es/handle/11441/55275","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/10632","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/10632","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:oai:idus.us.es:11441/55275","is_oa":true,"landing_page_url":"https://idus.us.es/handle/11441/55275","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1498622726","https://openalex.org/W1593563200","https://openalex.org/W1763430070","https://openalex.org/W1965238403","https://openalex.org/W1965787951","https://openalex.org/W1983487792","https://openalex.org/W1997857682","https://openalex.org/W2001127164","https://openalex.org/W2004675147","https://openalex.org/W2015568644","https://openalex.org/W2020952379","https://openalex.org/W2068720912","https://openalex.org/W2113830395","https://openalex.org/W2116449994","https://openalex.org/W2138332656","https://openalex.org/W2149906774","https://openalex.org/W2150123893","https://openalex.org/W2196955596","https://openalex.org/W2203886854","https://openalex.org/W2502636724","https://openalex.org/W2911708461","https://openalex.org/W3136595005","https://openalex.org/W4213071546","https://openalex.org/W4213170981","https://openalex.org/W4213238741","https://openalex.org/W4242246215","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1992962589","https://openalex.org/W3032871857","https://openalex.org/W1743191351","https://openalex.org/W3104633800","https://openalex.org/W3023567978","https://openalex.org/W1557097679","https://openalex.org/W4245661658","https://openalex.org/W1931837783","https://openalex.org/W2140901212","https://openalex.org/W2159360218"],"abstract_inverted_index":{"A":[0],"polyhedral":[1],"terrain":[2,28,62],"is":[3],"the":[4,14,20,35,40,43],"graph":[5],"of":[6,16,82,165],"a":[7,17,27,61,163],"continuous":[8],"piecewise":[9],"linear":[10],"function":[11],"defined":[12],"over":[13],"triangles":[15,66],"triangulation":[18],"in":[19,55,134,142],"xy-plane.":[21],"Two":[22],"points":[23,166],"on":[24,75],"or":[25,108],"above":[26],"are":[29,59,115],"visible":[30],"to":[31,129,158],"each":[32,183],"other":[33],"if":[34],"line-of-sight":[36],"does":[37],"not":[38,109],"intersect":[39],"space":[41],"below":[42],"terrain.":[44],"In":[45],"this":[46],"paper,":[47],"we":[48,58,88,147],"look":[49],"at":[50,83,138],"three":[51],"related":[52],"visibility":[53],"problems":[54],"terrains.":[56],"Suppose":[57],"given":[60],"T":[63],"with":[64],"n":[65,124,152],"and":[67,72,105,112,171,180],"two":[68,78],"regions":[69],"R":[70,73,110,113,135,143,169,174],"1":[71,111,136,170],"2":[74,114,144,151,153,175],"T,":[76],"i.e.,":[77],"simply":[79],"connected":[80],"subsets":[81],"most":[84],"m":[85],"triangles.":[86],"First,":[87],"present":[89,148],"an":[90,121,149],"algorithm":[91,128,157],"that":[92,178],"determines,":[93],"for":[94],"any":[95],"constant":[96],"\u220a":[97],"&gt;":[98],"0,":[99],"within":[100],"O(n":[101],"1+\u220a":[102],"m)":[103],"time":[104,127,156],"storage":[106],"whether":[107,131,160],"completely":[116],"intervisible.":[117],"We":[118],"also":[119],"give":[120],"O(m":[122,150],"3":[123],"4":[125],")":[126],"determine":[130,159],"every":[132],"point":[133,141],"sees":[137],"least":[139],"one":[140],".":[145],"Finally,":[146],"log":[154],"n)":[155],"there":[161],"exists":[162],"pair":[164],"p":[167,179],"\u2208":[168,173],"q":[172,181],",":[176],"such":[177],"see":[182],"other.":[184]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
