{"id":"https://openalex.org/W2156758076","doi":"https://doi.org/10.2312/egs.20001021","title":"Visibility Complexity of a Region in Flatland","display_name":"Visibility Complexity of a Region in Flatland","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2156758076","doi":"https://doi.org/10.2312/egs.20001021","mag":"2156758076"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.1759","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.1759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ima.udg.es/~rigau/Publications/Rigau00C.ps.gz","raw_type":"text"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egs.20001021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032774813","display_name":"Jaume Rigau","orcid":null},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rigau, Jaume","raw_affiliation_strings":["Universitat de Girona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona, Spain","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034698887","display_name":"Miquel Feixas","orcid":"https://orcid.org/0000-0001-6512-7588"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Feixas, Miquel","raw_affiliation_strings":["Universitat de Girona, Spain","University of Girona;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona, Spain","institution_ids":["https://openalex.org/I251424209"]},{"raw_affiliation_string":"University of Girona;","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045086893","display_name":"Mateu Sbert","orcid":"https://orcid.org/0000-0003-2164-6858"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sbert, Mateu","raw_affiliation_strings":["Universitat de Girona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona, Spain","institution_ids":["https://openalex.org/I251424209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I251424209"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9965000152587891,"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/visibility","display_name":"Visibility","score":0.8486371040344238},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6772153377532959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6489310264587402},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5926746129989624},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.5916294455528259},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5026676654815674},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.487298846244812},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.4777866303920746},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4214669466018677},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3188467025756836},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29518193006515503},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.18812152743339539},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09279194474220276}],"concepts":[{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.8486371040344238},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6772153377532959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6489310264587402},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5926746129989624},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.5916294455528259},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5026676654815674},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.487298846244812},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.4777866303920746},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4214669466018677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3188467025756836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29518193006515503},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.18812152743339539},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09279194474220276},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.1759","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.1759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ima.udg.es/~rigau/Publications/Rigau00C.ps.gz","raw_type":"text"},{"id":"mag:2156758076","is_oa":false,"landing_page_url":"http://ima.udg.edu/~rigau/publications/rigau00c.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Eurographics","raw_type":null},{"id":"doi:10.2312/egs.20001021","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20001021","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.2312/egs.20001021","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20001021","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W132217660","https://openalex.org/W578589656","https://openalex.org/W1485166224","https://openalex.org/W1514709918","https://openalex.org/W1560089794","https://openalex.org/W1592150402","https://openalex.org/W1716817068","https://openalex.org/W1958644973","https://openalex.org/W2045999613","https://openalex.org/W2099111195"],"related_works":["https://openalex.org/W2045999613","https://openalex.org/W2059844527","https://openalex.org/W1716817068","https://openalex.org/W1824567867","https://openalex.org/W3000165281","https://openalex.org/W2048355298","https://openalex.org/W2152885473","https://openalex.org/W2074020817","https://openalex.org/W228839455","https://openalex.org/W2012385660","https://openalex.org/W131549961","https://openalex.org/W2750148364","https://openalex.org/W1982544372","https://openalex.org/W2293468125","https://openalex.org/W1526969909","https://openalex.org/W1903594646","https://openalex.org/W2098628598","https://openalex.org/W2949006289","https://openalex.org/W1565385782","https://openalex.org/W2288351903"],"abstract_inverted_index":{"The":[0,50],"aim":[1],"of":[2,11,41,48,52,55,85,88],"this":[3],"paper":[4],"is":[5,66],"to":[6,29,61,67,81,96],"study":[7],"the":[8,39,53,69,77,83,86,108],"visibility":[9,70],"complexity":[10,40,54,84,112],"different":[12,46],"regions":[13,78],"in":[14,25,102,110],"a":[15,42,56,89,103],"2D":[16],"scene.":[17],"Based":[18],"on":[19,76],"mutual":[20],"information,":[21],"which":[22],"we":[23,33],"used":[24],"our":[26],"previous":[27],"work":[28],"define":[30],"scene":[31],"complexity,":[32],"propose":[34],"two":[35,45],"measures":[36],"that":[37],"quantify":[38],"region":[43,57],"from":[44],"points":[47],"view.":[49],"knowledge":[51],"can":[58],"be":[59],"useful":[60],"determine":[62],"how":[63],"difficult":[64],"it":[65],"recompute":[68],"links":[71],"for":[72],"an":[73,98],"animation":[74],"depending":[75],"visited":[79],"or":[80],"obtain":[82,97],"movement":[87],"robot.":[90],"We":[91],"also":[92],"envisage":[93],"its":[94],"applicability":[95],"optimal":[99],"load":[100],"balancing":[101],"parallel":[104],"computation":[105],"by":[106],"dividing":[107],"geometry":[109],"equal":[111],"regions.":[113]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}
