{"id":"https://openalex.org/W1514655470","doi":"https://doi.org/10.1007/978-3-642-11620-9_26","title":"Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves","display_name":"Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1514655470","doi":"https://doi.org/10.1007/978-3-642-11620-9_26","mag":"1514655470"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11620-9_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11620-9_26","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":["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/A5015143193","display_name":"Zbyn\u011bk \u0160\u0131\u0301r","orcid":"https://orcid.org/0000-0003-1701-5973"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Zbyn\u011bk \u0160\u00edr","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University in Prague, Sokolovsk\u00e1 83, 186 75, Prague"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University in Prague, Sokolovsk\u00e1 83, 186 75, Prague","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078984908","display_name":"Ji\u0159\u00ed Kosinka","orcid":"https://orcid.org/0000-0002-8859-2586"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed Kosinka","raw_affiliation_strings":["Centre of Mathematics for Applications, Department of Informatics, University of Oslo, P.O. Box 1053, 0316, Blindern, Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"Centre of Mathematics for Applications, Department of Informatics, University of Oslo, P.O. Box 1053, 0316, Blindern, Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015143193"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.5328,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.91753699,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"394","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T12504","display_name":"Mathematics and Applications","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9559999704360962,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/euclidean-geometry","display_name":"Euclidean geometry","score":0.7931040525436401},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.7688433527946472},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.7658138871192932},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6365408897399902},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5322278141975403},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4950029253959656},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45921847224235535},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33102554082870483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33074408769607544},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2145819365978241},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08161669969558716},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07807761430740356}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7931040525436401},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.7688433527946472},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.7658138871192932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6365408897399902},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5322278141975403},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4950029253959656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45921847224235535},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33102554082870483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33074408769607544},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2145819365978241},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08161669969558716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07807761430740356},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-11620-9_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11620-9_26","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W77718271","https://openalex.org/W140657133","https://openalex.org/W1532721371","https://openalex.org/W1964673636","https://openalex.org/W1974385837","https://openalex.org/W1984595075","https://openalex.org/W1990195556","https://openalex.org/W2000168082","https://openalex.org/W2002243124","https://openalex.org/W2023526451","https://openalex.org/W2041333805","https://openalex.org/W2042662795","https://openalex.org/W2047301367","https://openalex.org/W2048663671","https://openalex.org/W2060967026","https://openalex.org/W2063627407","https://openalex.org/W2067265645","https://openalex.org/W2077590674","https://openalex.org/W2081468593","https://openalex.org/W2082508827","https://openalex.org/W2082565556","https://openalex.org/W2086075153","https://openalex.org/W2089026953","https://openalex.org/W2089358519","https://openalex.org/W2092078117","https://openalex.org/W2101448698","https://openalex.org/W2107277826","https://openalex.org/W2145345764","https://openalex.org/W2289860474","https://openalex.org/W2326025993","https://openalex.org/W2346131912","https://openalex.org/W2907795413","https://openalex.org/W2913692918","https://openalex.org/W4242804520","https://openalex.org/W4247554817","https://openalex.org/W4285719527","https://openalex.org/W4298680854"],"related_works":["https://openalex.org/W4254786939","https://openalex.org/W4238758668","https://openalex.org/W4396653596","https://openalex.org/W2910530413","https://openalex.org/W2329304151","https://openalex.org/W1515531705","https://openalex.org/W4298209428","https://openalex.org/W2915121616","https://openalex.org/W26480241","https://openalex.org/W2083923608"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}