{"id":"https://openalex.org/W2293177275","doi":"https://doi.org/10.1007/978-3-319-26145-4_4","title":"Relative Convex Hull Determination from Convex Hulls in the Plane","display_name":"Relative Convex Hull Determination from Convex Hulls in the Plane","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2293177275","doi":"https://doi.org/10.1007/978-3-319-26145-4_4","mag":"2293177275"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-26145-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-26145-4_4","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1604.08698","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004339655","display_name":"Petra Wiederhold","orcid":"https://orcid.org/0000-0002-5529-9498"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Petra Wiederhold","raw_affiliation_strings":["Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados (CINVESTAV-IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, 07000, Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados (CINVESTAV-IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, 07000, Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066048278","display_name":"Hugo Reyes","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Hugo Reyes","raw_affiliation_strings":["Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados (CINVESTAV-IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, 07000, Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Centro de Investigaci\u00f3n y de Estudios Avanzados (CINVESTAV-IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, 07000, Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004339655"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9395,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72665535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"46","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9954000115394592,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.8768428564071655},{"id":"https://openalex.org/keywords/orthogonal-convex-hull","display_name":"Orthogonal convex hull","score":0.7418251037597656},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.6892357468605042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6661653518676758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.663213849067688},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.6211630702018738},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5631234049797058},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.47567787766456604},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.44129323959350586},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.4362007677555084},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.43180763721466064},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.43121692538261414},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4232408106327057},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.38440561294555664},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.3320738673210144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17168602347373962},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1281474530696869},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06298047304153442}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8768428564071655},{"id":"https://openalex.org/C64051489","wikidata":"https://www.wikidata.org/wiki/Q7104528","display_name":"Orthogonal convex hull","level":5,"score":0.7418251037597656},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.6892357468605042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6661653518676758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.663213849067688},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.6211630702018738},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5631234049797058},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.47567787766456604},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.44129323959350586},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.4362007677555084},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.43180763721466064},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43121692538261414},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4232408106327057},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38440561294555664},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.3320738673210144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17168602347373962},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1281474530696869},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06298047304153442},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-26145-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-26145-4_4","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"},{"id":"pmh:oai:arXiv.org:1604.08698","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08698","pdf_url":"https://arxiv.org/pdf/1604.08698","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1604.08698","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.08698","pdf_url":"https://arxiv.org/pdf/1604.08698","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W100746185","https://openalex.org/W349050485","https://openalex.org/W1482265680","https://openalex.org/W1497916714","https://openalex.org/W1559701472","https://openalex.org/W1569792349","https://openalex.org/W1589343680","https://openalex.org/W1757236967","https://openalex.org/W1964492068","https://openalex.org/W1968978149","https://openalex.org/W1973650897","https://openalex.org/W1977738087","https://openalex.org/W1983981168","https://openalex.org/W1993559042","https://openalex.org/W2020492600","https://openalex.org/W2020655744","https://openalex.org/W2045495512","https://openalex.org/W2051101397","https://openalex.org/W2055199022","https://openalex.org/W2060777876","https://openalex.org/W2068709628","https://openalex.org/W2074949023","https://openalex.org/W2086698318","https://openalex.org/W2133404715","https://openalex.org/W2164207219","https://openalex.org/W2176782066","https://openalex.org/W2274917208","https://openalex.org/W4252795229"],"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/W2048874717","https://openalex.org/W1500255470","https://openalex.org/W2100104291","https://openalex.org/W2058179942","https://openalex.org/W2347453242"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}