{"id":"https://openalex.org/W2014722529","doi":"https://doi.org/10.1142/s0218654399000186","title":"TWO GENERALIZATIONS OF AN INTERPOLANT BASED ON VORONOI DIAGRAMS","display_name":"TWO GENERALIZATIONS OF AN INTERPOLANT BASED ON VORONOI DIAGRAMS","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2014722529","doi":"https://doi.org/10.1142/s0218654399000186","mag":"2014722529"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654399000186","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654399000186","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","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/A5041807278","display_name":"Hisamoto Hiyoshi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"HISAMOTO HIYOSHI","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5088120934","display_name":"K\u014dkichi Sugihara","orcid":"https://orcid.org/0000-0001-8618-6894"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"KOKICHI SUGIHARA","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0132,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.76825247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"05","issue":"02","first_page":"219","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9980000257492065,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9979000091552734,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.9418081045150757},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.5344333648681641},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.524958610534668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37778231501579285},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28891733288764954}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9418081045150757},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.5344333648681641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.524958610534668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37778231501579285},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28891733288764954}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654399000186","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654399000186","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W257525205","https://openalex.org/W264698278","https://openalex.org/W1584045016","https://openalex.org/W2034879803","https://openalex.org/W2071973204","https://openalex.org/W2797626083","https://openalex.org/W2998589874"],"related_works":["https://openalex.org/W2059217232","https://openalex.org/W2371724110","https://openalex.org/W1930867958","https://openalex.org/W1995318580","https://openalex.org/W2041214247","https://openalex.org/W2133344964","https://openalex.org/W4206423751","https://openalex.org/W2150727083","https://openalex.org/W2051752778","https://openalex.org/W2053576657"],"abstract_inverted_index":{"Recently,":[0],"the":[1,28,43],"authors":[2],"found":[3],"an":[4],"interpolant":[5,18],"using":[6],"Voronoi":[7],"diagrams":[8],"that":[9],"differs":[10],"from":[11],"Sibson's":[12],"interpolant.":[13],"This":[14],"paper":[15],"generalizes":[16],"our":[17],"in":[19,46],"two":[20],"directions:":[21],"one":[22],"is":[23,30,40],"to":[24,31],"general-dimensional":[25],"data,":[26],"and":[27],"other":[29],"data":[32],"distributed":[33],"continuously":[34],"on":[35],"curves.":[36],"The":[37],"Minkowski's":[38],"theorem":[39],"used":[41],"as":[42],"basic":[44],"principle":[45],"generalization.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
