{"id":"https://openalex.org/W2914474205","doi":"https://doi.org/10.1007/978-3-642-31155-0_1","title":"\u03b1-Visibility","display_name":"\u03b1-Visibility","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2914474205","doi":"https://doi.org/10.1007/978-3-642-31155-0_1","mag":"2914474205"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31155-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31155-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5105710652","display_name":"Mohammad Ghodsi","orcid":null},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]},{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Ghodsi","raw_affiliation_strings":["Department of Computer Engineering, Sharif University of Technology, Tehran, Iran","Institute for Research in Fundamental Sciences (IPM), Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Institute for Research in Fundamental Sciences (IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103136561","display_name":"Anil Maheshwari","orcid":"https://orcid.org/0000-0002-1274-4598"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anil Maheshwari","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ON, K1S 5B6, Canada","School of Computer Science, Carleton University, Ottawa, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037996578","display_name":"Mostafa Nouri-Baygi","orcid":"https://orcid.org/0000-0001-8979-8204"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mostafa Nouri","raw_affiliation_strings":["Department of Computer Engineering, Sharif University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085978384","display_name":"J\u00f6rg-R\u00fcdiger Sack","orcid":"https://orcid.org/0000-0001-5936-1319"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00f6rg-R\u00fcdiger Sack","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, ON, K1S 5B6, Canada","School of Computer Science, Carleton University, Ottawa, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091009084","display_name":"Hamid Zarrabi-Zadeh","orcid":"https://orcid.org/0000-0002-2279-4775"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hamid Zarrabi-Zadeh","raw_affiliation_strings":["Department of Computer Engineering, Sharif University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"12"},"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9879000186920166,"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/visibility","display_name":"Visibility","score":0.930462658405304},{"id":"https://openalex.org/keywords/visibility-graph","display_name":"Visibility graph","score":0.868802011013031},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6105214953422546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6040823459625244},{"id":"https://openalex.org/keywords/visibility-polygon","display_name":"Visibility polygon","score":0.5883201360702515},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5531293153762817},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5052598118782043},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4344022572040558},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.42292076349258423},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4105469584465027},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38944220542907715},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30210810899734497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2610050141811371},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22236821055412292},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1609022617340088},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15242621302604675},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.14898884296417236},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.06365886330604553},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.05731779336929321}],"concepts":[{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.930462658405304},{"id":"https://openalex.org/C173362246","wikidata":"https://www.wikidata.org/wiki/Q8216024","display_name":"Visibility graph","level":3,"score":0.868802011013031},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6105214953422546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6040823459625244},{"id":"https://openalex.org/C1449246","wikidata":"https://www.wikidata.org/wiki/Q7936080","display_name":"Visibility polygon","level":4,"score":0.5883201360702515},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5531293153762817},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5052598118782043},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4344022572040558},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.42292076349258423},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4105469584465027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38944220542907715},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30210810899734497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2610050141811371},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22236821055412292},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1609022617340088},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15242621302604675},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.14898884296417236},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.06365886330604553},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.05731779336929321}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-31155-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31155-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W35252975","https://openalex.org/W123457959","https://openalex.org/W1482503584","https://openalex.org/W1494368934","https://openalex.org/W1559817541","https://openalex.org/W1971836159","https://openalex.org/W1986014106","https://openalex.org/W1999006915","https://openalex.org/W2004826883","https://openalex.org/W2015441057","https://openalex.org/W2019236084","https://openalex.org/W2027387410","https://openalex.org/W2028801888","https://openalex.org/W2033775003","https://openalex.org/W2041495686","https://openalex.org/W2063244634","https://openalex.org/W2088444809","https://openalex.org/W2093788424","https://openalex.org/W2116409181","https://openalex.org/W2132339863","https://openalex.org/W2136318972","https://openalex.org/W2136775990","https://openalex.org/W2908454556","https://openalex.org/W4237936014","https://openalex.org/W4247939603"],"related_works":["https://openalex.org/W2743652671","https://openalex.org/W3188793535","https://openalex.org/W2145427355","https://openalex.org/W2066813664","https://openalex.org/W4230887321","https://openalex.org/W2032709970","https://openalex.org/W2910504761","https://openalex.org/W19328730","https://openalex.org/W2130197069","https://openalex.org/W2159176266"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2019-02-21T00:00:00"}