{"id":"https://openalex.org/W4401972632","doi":"https://doi.org/10.1016/j.cam.2024.116235","title":"Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves","display_name":"Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves","publication_year":2024,"publication_date":"2024-08-28","ids":{"openalex":"https://openalex.org/W4401972632","doi":"https://doi.org/10.1016/j.cam.2024.116235"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2024.116235","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1016/j.cam.2024.116235","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://dx.doi.org/10.1016/j.cam.2024.116235","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113866987","display_name":"Rida T. Farouki","orcid":null},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rida T. Farouki","raw_affiliation_strings":["Mechanical & Aerospace Engineering, University of California, Davis, CA 95616, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical & Aerospace Engineering, University of California, Davis, CA 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103193233","display_name":"Marjeta Knez","orcid":"https://orcid.org/0000-0002-1024-1698"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Marjeta Knez","raw_affiliation_strings":["Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana, Slovenia","Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066812713","display_name":"Vito Vitrih","orcid":"https://orcid.org/0000-0001-5920-5092"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Vito Vitrih","raw_affiliation_strings":["Andrej Maru\u0161i\u010d Institute, University of Primorska, Muzejski trg 2, Koper, Slovenia","Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Glagolja\u0161ka 8, Koper, Slovenia"],"affiliations":[{"raw_affiliation_string":"Andrej Maru\u0161i\u010d Institute, University of Primorska, Muzejski trg 2, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]},{"raw_affiliation_string":"Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Glagolja\u0161ka 8, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007134461","display_name":"Emil \u017dagar","orcid":"https://orcid.org/0000-0002-7910-7665"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I4210106342","display_name":"Institute of Mathematics, Physics, and Mechanics","ror":"https://ror.org/01eb3qa50","country_code":"SI","type":"facility","lineage":["https://openalex.org/I4210106342"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Emil \u017dagar","raw_affiliation_strings":["Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia","Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana, Slovenia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]},{"raw_affiliation_string":"Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana, Slovenia","institution_ids":["https://openalex.org/I4210106342"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113866987"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":{"value":3040,"currency":"USD","value_usd":3040},"fwci":0.7537,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66569011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"456","issue":null,"first_page":"116235","last_page":"116235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9922000169754028,"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":0.9591000080108643,"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":0.876279354095459},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6898276209831238},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5020837783813477},{"id":"https://openalex.org/keywords/hodograph","display_name":"Hodograph","score":0.4631326496601105},{"id":"https://openalex.org/keywords/arc-length","display_name":"Arc length","score":0.4508990943431854},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.43183010816574097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4138377904891968},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41215625405311584},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32222557067871094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2424089014530182}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.876279354095459},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6898276209831238},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5020837783813477},{"id":"https://openalex.org/C197766306","wikidata":"https://www.wikidata.org/wiki/Q1546281","display_name":"Hodograph","level":2,"score":0.4631326496601105},{"id":"https://openalex.org/C22251595","wikidata":"https://www.wikidata.org/wiki/Q670036","display_name":"Arc length","level":3,"score":0.4508990943431854},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.43183010816574097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4138377904891968},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41215625405311584},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32222557067871094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2424089014530182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2024.116235","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1016/j.cam.2024.116235","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cam.2024.116235","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1016/j.cam.2024.116235","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1397626758","display_name":null,"funder_award_id":"N1-0237","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G2439551750","display_name":null,"funder_award_id":"P1-0404","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G4566336726","display_name":null,"funder_award_id":"N1-0296","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G5656474277","display_name":null,"funder_award_id":"P1-0288","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G6142002709","display_name":null,"funder_award_id":"N1-0210","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G8288796042","display_name":null,"funder_award_id":"J1-4414","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G8324222580","display_name":null,"funder_award_id":"N1-0137","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G8671219534","display_name":null,"funder_award_id":"J1-3005","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W77718271","https://openalex.org/W140657133","https://openalex.org/W575696198","https://openalex.org/W1493845505","https://openalex.org/W1532721371","https://openalex.org/W2047301367","https://openalex.org/W2064264032","https://openalex.org/W2073330885","https://openalex.org/W2083244827","https://openalex.org/W2107221565","https://openalex.org/W2168261576","https://openalex.org/W2378943110","https://openalex.org/W2601330339","https://openalex.org/W2760642785","https://openalex.org/W2913692918","https://openalex.org/W3018963362","https://openalex.org/W3061133631","https://openalex.org/W3167693708","https://openalex.org/W4223596210","https://openalex.org/W4242804520","https://openalex.org/W4366496755","https://openalex.org/W6715086785","https://openalex.org/W7043380044"],"related_works":["https://openalex.org/W2902869939","https://openalex.org/W2610510694","https://openalex.org/W4368371614","https://openalex.org/W2364350605","https://openalex.org/W2090517503","https://openalex.org/W2924479417","https://openalex.org/W2333137113","https://openalex.org/W2381229090","https://openalex.org/W2000986152","https://openalex.org/W2066190487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
