{"id":"https://openalex.org/W2030261330","doi":"https://doi.org/10.1016/0196-6774(87)90028-9","title":"Convex hulls of piecewise-smooth Jordan curves","display_name":"Convex hulls of piecewise-smooth Jordan curves","publication_year":1987,"publication_date":"1987-03-01","ids":{"openalex":"https://openalex.org/W2030261330","doi":"https://doi.org/10.1016/0196-6774(87)90028-9","mag":"2030261330"},"language":"en","primary_location":{"id":"doi:10.1016/0196-6774(87)90028-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(87)90028-9","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","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/A5000317216","display_name":"Alejandro A. Sch\u00e4ffer","orcid":"https://orcid.org/0000-0002-2147-8033"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alejandro A Sch\u00e4ffer","raw_affiliation_strings":["Department of Computer Science, Stanford University, Stanford, California 94305 USA","Stanford University Stanford CA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stanford University, Stanford, California 94305 USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University Stanford CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083959816","display_name":"Christopher J. Van Wyk","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]},{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher J Van Wyk","raw_affiliation_strings":["AT & T Bell Laboratories, Murray Hill, New Jersey 07974 USA","AT&T Bell Labs.,Murray Hill, NJ"],"affiliations":[{"raw_affiliation_string":"AT & T Bell Laboratories, Murray Hill, New Jersey 07974 USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Bell Labs.,Murray Hill, NJ","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000317216"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":6.4465,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.96677111,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"1","first_page":"66","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9919000267982483,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9848999977111816,"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/convex-hull","display_name":"Convex hull","score":0.7046399116516113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7010119557380676},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6405965089797974},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.6323045492172241},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6107656955718994},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5750192403793335},{"id":"https://openalex.org/keywords/orthogonal-convex-hull","display_name":"Orthogonal convex hull","score":0.4825372099876404},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46798038482666016},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4639230966567993},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.4623490571975708},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.45158112049102783},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.43849918246269226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4375646114349365},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.428954154253006},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4138965308666229},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2738642692565918},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1764858365058899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16312101483345032},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.15049278736114502}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7046399116516113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7010119557380676},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6405965089797974},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6323045492172241},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6107656955718994},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5750192403793335},{"id":"https://openalex.org/C64051489","wikidata":"https://www.wikidata.org/wiki/Q7104528","display_name":"Orthogonal convex hull","level":5,"score":0.4825372099876404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46798038482666016},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4639230966567993},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.4623490571975708},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.45158112049102783},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43849918246269226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4375646114349365},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.428954154253006},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4138965308666229},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2738642692565918},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1764858365058899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16312101483345032},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.15049278736114502},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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:10.1016/0196-6774(87)90028-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(87)90028-9","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1964869106","https://openalex.org/W1984911286","https://openalex.org/W2025299767","https://openalex.org/W2056531186","https://openalex.org/W2085761844","https://openalex.org/W2094855951","https://openalex.org/W2130236415","https://openalex.org/W2145086237","https://openalex.org/W2151355291","https://openalex.org/W4230213804","https://openalex.org/W4237238539","https://openalex.org/W4249307458","https://openalex.org/W4253051781","https://openalex.org/W6646592214","https://openalex.org/W6679274647"],"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/W2100104291","https://openalex.org/W2048874717","https://openalex.org/W2058179942","https://openalex.org/W2347453242","https://openalex.org/W2389413091"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
