{"id":"https://openalex.org/W70775629","doi":"https://doi.org/10.1007/bfb0028280","title":"A linear time algorithm for computing the shortest line segment from which a polygon is weakly externally visible","display_name":"A linear time algorithm for computing the shortest line segment from which a polygon is weakly externally visible","publication_year":2005,"publication_date":"2005-11-22","ids":{"openalex":"https://openalex.org/W70775629","doi":"https://doi.org/10.1007/bfb0028280","mag":"70775629"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0028280","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0028280","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":"book-chapter","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/A5005640800","display_name":"Binary K. Bhattacharya","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Binary K. Bhattacharya","raw_affiliation_strings":["School of Computing Science, Simon Fraser University, Burnaby, Canada","Simon Fraser University"],"affiliations":[{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Simon Fraser University","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101722086","display_name":"Asish Mukhopadhyay","orcid":"https://orcid.org/0000-0002-4953-5626"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]},{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Asish Mukhopadhyay","raw_affiliation_strings":["Department of Computer Science, Indian Institute of Technology, Kanpur, India","Indian Institute of technology"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Indian Institute of Technology, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Indian Institute of technology","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109899254","display_name":"Godfried T. Toussaint","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Godfried T. Toussaint","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, Canada","McGill University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005640800"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.0125261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"412","last_page":"424"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9922999739646912,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.83009934425354},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7329339385032654},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.7262991666793823},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.6876205205917358},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5752492547035217},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5479970574378967},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5404921174049377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5082680583000183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5027599334716797},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.49396854639053345},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4783565402030945},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4366621673107147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34405916929244995},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.1889941394329071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18381774425506592},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.07707303762435913}],"concepts":[{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.83009934425354},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7329339385032654},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.7262991666793823},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.6876205205917358},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5752492547035217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5479970574378967},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5404921174049377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5082680583000183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5027599334716797},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.49396854639053345},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4783565402030945},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4366621673107147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34405916929244995},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.1889941394329071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18381774425506592},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.07707303762435913},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0028280","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0028280","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":10,"referenced_works":["https://openalex.org/W1506178121","https://openalex.org/W1825136300","https://openalex.org/W1965568436","https://openalex.org/W1981127926","https://openalex.org/W2043127280","https://openalex.org/W2055832080","https://openalex.org/W2072007411","https://openalex.org/W2072673780","https://openalex.org/W2078402485","https://openalex.org/W4214622755"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W2102467404","https://openalex.org/W2389833224","https://openalex.org/W2372903818","https://openalex.org/W2466150543","https://openalex.org/W2362048241","https://openalex.org/W2379265227","https://openalex.org/W3011179386","https://openalex.org/W53644101","https://openalex.org/W1538329849"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}