{"id":"https://openalex.org/W1570562679","doi":"https://doi.org/10.1007/11537908_22","title":"Spatial Pythagorean Hodograph Quintics and the Approximation of Pipe Surfaces","display_name":"Spatial Pythagorean Hodograph Quintics and the Approximation of Pipe Surfaces","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1570562679","doi":"https://doi.org/10.1007/11537908_22","mag":"1570562679"},"language":"en","primary_location":{"id":"doi:10.1007/11537908_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11537908_22","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/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Zbyn\u011bk \u0160\u00edr","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. 69, 4040, Linz, Austria","Institute of Applied Geometry, Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045854462","display_name":"Bert J\u00fcttler","orcid":"https://orcid.org/0000-0002-5518-7795"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bert J\u00fcttler","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. 69, 4040, Linz, Austria","Institute of Applied Geometry, Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015143193"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.004,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.97008653,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"364","last_page":"380"},"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.923799991607666,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/piecewise","display_name":"Piecewise","score":0.6938549280166626},{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.5514506101608276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4908490777015686},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4600107669830322},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4204913079738617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3454083800315857},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32162436842918396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28210076689720154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16192719340324402}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6938549280166626},{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.5514506101608276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4908490777015686},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4600107669830322},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4204913079738617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3454083800315857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32162436842918396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28210076689720154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16192719340324402},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11537908_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11537908_22","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":25,"referenced_works":["https://openalex.org/W113836369","https://openalex.org/W140657133","https://openalex.org/W1527786550","https://openalex.org/W1593821512","https://openalex.org/W1620838353","https://openalex.org/W1964673636","https://openalex.org/W1974385837","https://openalex.org/W1990195556","https://openalex.org/W2002243124","https://openalex.org/W2023526451","https://openalex.org/W2042662795","https://openalex.org/W2047301367","https://openalex.org/W2053578036","https://openalex.org/W2060967026","https://openalex.org/W2067265645","https://openalex.org/W2072181956","https://openalex.org/W2077590674","https://openalex.org/W2089358519","https://openalex.org/W2093822692","https://openalex.org/W2158319891","https://openalex.org/W2346131912","https://openalex.org/W2752089549","https://openalex.org/W2907795413","https://openalex.org/W4242804520","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1996842245","https://openalex.org/W1516407058","https://openalex.org/W2380864953","https://openalex.org/W3105669161","https://openalex.org/W2053561000","https://openalex.org/W2312790158","https://openalex.org/W2963602586","https://openalex.org/W2144706396","https://openalex.org/W2081521562","https://openalex.org/W2321288003"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
