{"id":"https://openalex.org/W2036757766","doi":"https://doi.org/10.1016/s0167-8396(99)00038-2","title":"Unit quaternion integral curve: A new type of fair free-form curves","display_name":"Unit quaternion integral curve: A new type of fair free-form curves","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2036757766","doi":"https://doi.org/10.1016/s0167-8396(99)00038-2","mag":"2036757766"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(99)00038-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(99)00038-2","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/A5030484228","display_name":"Kenjiro T. Miura","orcid":"https://orcid.org/0000-0001-9326-3130"},"institutions":[{"id":"https://openalex.org/I1298590031","display_name":"Shizuoka University","ror":"https://ror.org/01w6wtk13","country_code":"JP","type":"education","lineage":["https://openalex.org/I1298590031"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kenjiro T. Miura","raw_affiliation_strings":["Shizuoka University, Realistic Modeling Laboratory, 3-5-1 Johoku, Hamamatsu, Shizuoka, 432-8561 Japan"],"affiliations":[{"raw_affiliation_string":"Shizuoka University, Realistic Modeling Laboratory, 3-5-1 Johoku, Hamamatsu, Shizuoka, 432-8561 Japan","institution_ids":["https://openalex.org/I1298590031"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030484228"],"corresponding_institution_ids":["https://openalex.org/I1298590031"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.8535,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.92670618,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"17","issue":"1","first_page":"39","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.998199999332428,"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":0.998199999332428,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9830999970436096,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9355000257492065,"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/mathematics","display_name":"Mathematics","score":0.8561399579048157},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6802796721458435},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6583865880966187},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5419834852218628},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.5327985882759094},{"id":"https://openalex.org/keywords/dual-quaternion","display_name":"Dual quaternion","score":0.4722903370857239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4716441035270691},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.45519742369651794},{"id":"https://openalex.org/keywords/torsion-of-a-curve","display_name":"Torsion of a curve","score":0.41691187024116516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3227279782295227},{"id":"https://openalex.org/keywords/center-of-curvature","display_name":"Center of curvature","score":0.2859240472316742},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28070300817489624},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.18806198239326477}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8561399579048157},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6802796721458435},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6583865880966187},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5419834852218628},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.5327985882759094},{"id":"https://openalex.org/C145941777","wikidata":"https://www.wikidata.org/wiki/Q5310237","display_name":"Dual quaternion","level":3,"score":0.4722903370857239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4716441035270691},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.45519742369651794},{"id":"https://openalex.org/C84985374","wikidata":"https://www.wikidata.org/wiki/Q1892644","display_name":"Torsion of a curve","level":5,"score":0.41691187024116516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3227279782295227},{"id":"https://openalex.org/C161223928","wikidata":"https://www.wikidata.org/wiki/Q3775868","display_name":"Center of curvature","level":4,"score":0.2859240472316742},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28070300817489624},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.18806198239326477}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8396(99)00038-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(99)00038-2","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2523915674","https://openalex.org/W2888751871","https://openalex.org/W570369945","https://openalex.org/W2185573392","https://openalex.org/W102224637","https://openalex.org/W3127350447","https://openalex.org/W2315718763","https://openalex.org/W4321633639","https://openalex.org/W2610510694","https://openalex.org/W2000986152"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
