{"id":"https://openalex.org/W1989513862","doi":"https://doi.org/10.1016/0167-8396(86)90005-1","title":"Surface algorithms using bounds on derivatives","display_name":"Surface algorithms using bounds on derivatives","publication_year":1986,"publication_date":"1986-12-01","ids":{"openalex":"https://openalex.org/W1989513862","doi":"https://doi.org/10.1016/0167-8396(86)90005-1","mag":"1989513862"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8396(86)90005-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90005-1","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"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":"Computer Aided Geometric Design","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/A5078855205","display_name":"Daniel Filip","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109062","display_name":"Campbell Institute","ror":"https://ror.org/01hshyz77","country_code":"US","type":"other","lineage":["https://openalex.org/I4210109062"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Filip","raw_affiliation_strings":["Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","Automation Technology Products, Campbell, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","institution_ids":["https://openalex.org/I4210109062"]},{"raw_affiliation_string":"Automation Technology Products, Campbell, CA#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003987341","display_name":"R.L. Magedson","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109062","display_name":"Campbell Institute","ror":"https://ror.org/01hshyz77","country_code":"US","type":"other","lineage":["https://openalex.org/I4210109062"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Magedson","raw_affiliation_strings":["Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","Automation Technology Products, Campbell, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","institution_ids":["https://openalex.org/I4210109062"]},{"raw_affiliation_string":"Automation Technology Products, Campbell, CA#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083749306","display_name":"Robert Markot","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109062","display_name":"Campbell Institute","ror":"https://ror.org/01hshyz77","country_code":"US","type":"other","lineage":["https://openalex.org/I4210109062"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Markot","raw_affiliation_strings":["Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","Automation Technology Products, Campbell, CA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automation Technology Products, 1671 Dell Avenue, Campbell, CA 95008, U.S.A","institution_ids":["https://openalex.org/I4210109062"]},{"raw_affiliation_string":"Automation Technology Products, Campbell, CA#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078855205"],"corresponding_institution_ids":["https://openalex.org/I4210109062"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.1732,"has_fulltext":false,"cited_by_count":213,"citation_normalized_percentile":{"value":0.90574938,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"3","issue":"4","first_page":"295","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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":0.9993000030517578,"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":0.9969000220298767,"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/mathematics","display_name":"Mathematics","score":0.8475061655044556},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.6969784498214722},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6969645619392395},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5857232809066772},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5577650666236877},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45635986328125},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44028711318969727},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4170915484428406},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.41640517115592957},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.4154413938522339},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35359886288642883},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3001953363418579},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2937355935573578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2388569712638855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07447952032089233}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8475061655044556},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.6969784498214722},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6969645619392395},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5857232809066772},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5577650666236877},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45635986328125},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44028711318969727},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4170915484428406},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.41640517115592957},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.4154413938522339},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35359886288642883},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3001953363418579},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2937355935573578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2388569712638855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07447952032089233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8396(86)90005-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90005-1","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"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":"Computer Aided Geometric Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1587467920","https://openalex.org/W1972093136","https://openalex.org/W1979585884","https://openalex.org/W1990296603","https://openalex.org/W2003173111","https://openalex.org/W2023751161","https://openalex.org/W2025810010","https://openalex.org/W2048995080","https://openalex.org/W2056515188","https://openalex.org/W2060996147","https://openalex.org/W2065015198","https://openalex.org/W2078263033","https://openalex.org/W2162870748","https://openalex.org/W2768498986","https://openalex.org/W2949146770","https://openalex.org/W7071533014"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W4323366562","https://openalex.org/W2165649407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":4}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}