{"id":"https://openalex.org/W2006991289","doi":"https://doi.org/10.1016/s0167-8396(00)00029-7","title":"Minkowski isoperimetric-hodograph curves","display_name":"Minkowski isoperimetric-hodograph curves","publication_year":2000,"publication_date":"2000-10-01","ids":{"openalex":"https://openalex.org/W2006991289","doi":"https://doi.org/10.1016/s0167-8396(00)00029-7","mag":"2006991289"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(00)00029-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(00)00029-7","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/A5103074436","display_name":"Rachid Ait-Haddou","orcid":"https://orcid.org/0000-0002-7385-0079"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"R. Ait-Haddou","raw_affiliation_strings":["Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada, T2N 1N4","University of Calgary"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada, T2N 1N4","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030649136","display_name":"Luc Biard","orcid":null},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Biard","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Calcul, Universit\u00e9 Joseph Fourier, Grenoble Cedex 09, France","Laboratoire de Mod\u00e9lisation et Calcul"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul, Universit\u00e9 Joseph Fourier, Grenoble Cedex 09, France","institution_ids":["https://openalex.org/I177483745"]},{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102897618","display_name":"Michael A. Slawi\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M.A. Slawinski","raw_affiliation_strings":["Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada, T2N 1N4","University of Calgary"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada, T2N 1N4","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103074436"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.6515,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81646449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"17","issue":"9","first_page":"835","last_page":"861"},"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":0.9751999974250793,"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":0.9495999813079834,"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":0.7442296147346497},{"id":"https://openalex.org/keywords/frenet\u2013serret-formulas","display_name":"Frenet\u2013Serret formulas","score":0.6347984671592712},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.5841926336288452},{"id":"https://openalex.org/keywords/hodograph","display_name":"Hodograph","score":0.5703500509262085},{"id":"https://openalex.org/keywords/differential-geometry-of-curves","display_name":"Differential geometry of curves","score":0.5516435503959656},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5081920623779297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46686267852783203},{"id":"https://openalex.org/keywords/minkowskis-theorem","display_name":"Minkowski's theorem","score":0.44707176089286804},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.4185987412929535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3373764157295227},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.2595522701740265},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.13935518264770508},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.13321411609649658}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7442296147346497},{"id":"https://openalex.org/C162546045","wikidata":"https://www.wikidata.org/wiki/Q947922","display_name":"Frenet\u2013Serret formulas","level":3,"score":0.6347984671592712},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.5841926336288452},{"id":"https://openalex.org/C197766306","wikidata":"https://www.wikidata.org/wiki/Q1546281","display_name":"Hodograph","level":2,"score":0.5703500509262085},{"id":"https://openalex.org/C194596105","wikidata":"https://www.wikidata.org/wiki/Q2254404","display_name":"Differential geometry of curves","level":5,"score":0.5516435503959656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5081920623779297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46686267852783203},{"id":"https://openalex.org/C79013991","wikidata":"https://www.wikidata.org/wiki/Q1097021","display_name":"Minkowski's theorem","level":3,"score":0.44707176089286804},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.4185987412929535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3373764157295227},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.2595522701740265},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.13935518264770508},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.13321411609649658},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0167-8396(00)00029-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(00)00029-7","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"},{"id":"pmh:oai:HAL:hal-01089019v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01089019","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Aided Geometric Design, 2000, 17 (9), pp.835-861. ⟨10.1016/S0167-8396(00)00029-7⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1496554474","https://openalex.org/W1534884587","https://openalex.org/W1985804084","https://openalex.org/W1994784512","https://openalex.org/W2000168082","https://openalex.org/W2010636443","https://openalex.org/W2033857673","https://openalex.org/W2044319938","https://openalex.org/W2086075153","https://openalex.org/W2090738717","https://openalex.org/W2098328565","https://openalex.org/W2126479355","https://openalex.org/W2154965507","https://openalex.org/W2228848140","https://openalex.org/W2301618816","https://openalex.org/W2315401374","https://openalex.org/W2326025993","https://openalex.org/W2913692918","https://openalex.org/W3214242482"],"related_works":["https://openalex.org/W228749424","https://openalex.org/W4312987166","https://openalex.org/W4254546426","https://openalex.org/W156735263","https://openalex.org/W2006374187","https://openalex.org/W2741461870","https://openalex.org/W4299719436","https://openalex.org/W3217524882","https://openalex.org/W2952094119","https://openalex.org/W1965797130"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}