{"id":"https://openalex.org/W1985804084","doi":"https://doi.org/10.1016/s0167-8396(97)00024-1","title":"A Laguerre geometric approach to rational offsets","display_name":"A Laguerre geometric approach to rational offsets","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W1985804084","doi":"https://doi.org/10.1016/s0167-8396(97)00024-1","mag":"1985804084"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(97)00024-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(97)00024-1","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/A5085936639","display_name":"Mart\u00edn Peternell","orcid":"https://orcid.org/0000-0002-9582-2239"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Peternell","raw_affiliation_strings":["Institut f\u00fcr Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8\u201310, A-1040 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8\u201310, A-1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085957036","display_name":"Helmut Pottmann","orcid":"https://orcid.org/0000-0002-3195-9316"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Helmut Pottmann","raw_affiliation_strings":["Institut f\u00fcr Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8\u201310, A-1040 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8\u201310, A-1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085957036"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2930,"currency":"USD","value_usd":2930},"apc_paid":null,"fwci":3.8754,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.92632858,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"3","first_page":"223","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983000159263611,"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":0.9983000159263611,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T13886","display_name":"Operations Management Techniques","score":0.9684000015258789,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.8426337838172913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8085969090461731},{"id":"https://openalex.org/keywords/geometric-design","display_name":"Geometric design","score":0.5116684436798096},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43359076976776123},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36485955119132996},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3224899470806122}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.8426337838172913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8085969090461731},{"id":"https://openalex.org/C40319758","wikidata":"https://www.wikidata.org/wiki/Q5535477","display_name":"Geometric design","level":2,"score":0.5116684436798096},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43359076976776123},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36485955119132996},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3224899470806122}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8396(97)00024-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(97)00024-1","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":[{"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":40,"referenced_works":["https://openalex.org/W77718271","https://openalex.org/W214528739","https://openalex.org/W575696198","https://openalex.org/W624213318","https://openalex.org/W628477427","https://openalex.org/W1501126938","https://openalex.org/W1988399225","https://openalex.org/W1989389927","https://openalex.org/W1990195556","https://openalex.org/W1990261039","https://openalex.org/W2010636443","https://openalex.org/W2011266087","https://openalex.org/W2022994234","https://openalex.org/W2032070022","https://openalex.org/W2043227468","https://openalex.org/W2046155324","https://openalex.org/W2060054477","https://openalex.org/W2067265645","https://openalex.org/W2069555692","https://openalex.org/W2074359242","https://openalex.org/W2078249432","https://openalex.org/W2082508827","https://openalex.org/W2089358519","https://openalex.org/W2089493441","https://openalex.org/W2090738717","https://openalex.org/W2157638641","https://openalex.org/W2205192148","https://openalex.org/W2303106712","https://openalex.org/W2315401374","https://openalex.org/W2404406925","https://openalex.org/W2510361016","https://openalex.org/W2913692918","https://openalex.org/W2923943767","https://openalex.org/W3214242482","https://openalex.org/W4242804520","https://openalex.org/W4246088670","https://openalex.org/W6600355687","https://openalex.org/W6671199531","https://openalex.org/W6697766018","https://openalex.org/W6697880953"],"related_works":["https://openalex.org/W2038558186","https://openalex.org/W1515881615","https://openalex.org/W4300143776","https://openalex.org/W2953123469","https://openalex.org/W3150993733","https://openalex.org/W2544886596","https://openalex.org/W3146405243","https://openalex.org/W3036693224","https://openalex.org/W2765932547","https://openalex.org/W2471338065"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
