{"id":"https://openalex.org/W2091099423","doi":"https://doi.org/10.1016/0020-0190(79)90015-2","title":"Comments on convex hull of a finite set of points in two dimensions","display_name":"Comments on convex hull of a finite set of points in two dimensions","publication_year":1979,"publication_date":"1979-04-01","ids":{"openalex":"https://openalex.org/W2091099423","doi":"https://doi.org/10.1016/0020-0190(79)90015-2","mag":"2091099423"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(79)90015-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(79)90015-2","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},"type":"article","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/A5111426544","display_name":"Alain Fournier","orcid":null},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alain Fournier","raw_affiliation_strings":["Programs in Mathematical Sciences, The University of Texas, Dallas, TX 75080, U.S.A","Programs in Mathematical Sciences, The University of Texas, Dallas, TX 75080, U.S.A.#TAB#"],"affiliations":[{"raw_affiliation_string":"Programs in Mathematical Sciences, The University of Texas, Dallas, TX 75080, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Programs in Mathematical Sciences, The University of Texas, Dallas, TX 75080, U.S.A.#TAB#","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111426544"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":1.4083,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82687339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"8","issue":"4","first_page":"173","last_page":"173"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9955999851226807,"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/T12288","display_name":"Optimization and Search Problems","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.933010458946228},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.7333114147186279},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.6170938014984131},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.591149628162384},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5568968653678894},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5370869040489197},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5173673033714294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5142240524291992},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49009525775909424},{"id":"https://openalex.org/keywords/orthogonal-convex-hull","display_name":"Orthogonal convex hull","score":0.4676612913608551},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4478045701980591},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.42178115248680115},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4131263494491577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35668495297431946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34378308057785034},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.23667162656784058},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2016696333885193},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17287874221801758},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07520613074302673}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.933010458946228},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.7333114147186279},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.6170938014984131},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.591149628162384},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5568968653678894},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5370869040489197},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5173673033714294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5142240524291992},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49009525775909424},{"id":"https://openalex.org/C64051489","wikidata":"https://www.wikidata.org/wiki/Q7104528","display_name":"Orthogonal convex hull","level":5,"score":0.4676612913608551},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4478045701980591},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.42178115248680115},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4131263494491577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35668495297431946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34378308057785034},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.23667162656784058},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2016696333885193},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17287874221801758},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07520613074302673},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(79)90015-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(79)90015-2","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2020085260","https://openalex.org/W2075232087"],"related_works":["https://openalex.org/W2300145982","https://openalex.org/W2580512045","https://openalex.org/W2365830408","https://openalex.org/W1569666406","https://openalex.org/W2375652826","https://openalex.org/W2363904277","https://openalex.org/W2048874717","https://openalex.org/W1500255470","https://openalex.org/W1758159897","https://openalex.org/W2128601753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}