{"id":"https://openalex.org/W2150694699","doi":"https://doi.org/10.1142/s0218195908002659","title":"STABLE COMPUTATION OF NATURAL NEIGHBOR INTERPOLATION","display_name":"STABLE COMPUTATION OF NATURAL NEIGHBOR INTERPOLATION","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2150694699","doi":"https://doi.org/10.1142/s0218195908002659","mag":"2150694699"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195908002659","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195908002659","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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 Computational Geometry &amp; Applications","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":[{"id":"https://openalex.org/I165735259","display_name":"Gunma University","ror":"https://ror.org/046fm7598","country_code":"JP","type":"education","lineage":["https://openalex.org/I165735259"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"HISAMOTO HIYOSHI","raw_affiliation_strings":["Department of Computer Science, Gunma University, 1-5-1 Tenjin-Cho, Kiryu City, Gunma 376-8515, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Gunma University, 1-5-1 Tenjin-Cho, Kiryu City, Gunma 376-8515, Japan","institution_ids":["https://openalex.org/I165735259"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041807278"],"corresponding_institution_ids":["https://openalex.org/I165735259"],"apc_list":null,"apc_paid":null,"fwci":0.7649,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7586321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"18","issue":"04","first_page":"321","last_page":"341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9944000244140625,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/voronoi-diagram","display_name":"Voronoi diagram","score":0.7941731810569763},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7852505445480347},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6938308477401733},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.584104597568512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5716453790664673},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.5443534255027771},{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.5349584221839905},{"id":"https://openalex.org/keywords/trilinear-interpolation","display_name":"Trilinear interpolation","score":0.47017115354537964},{"id":"https://openalex.org/keywords/usability","display_name":"Usability","score":0.44460034370422363},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.44442301988601685},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.42346176505088806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3798397183418274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.309426486492157},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19150790572166443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1669805347919464},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06637239456176758}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.7941731810569763},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7852505445480347},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6938308477401733},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.584104597568512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5716453790664673},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.5443534255027771},{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.5349584221839905},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.47017115354537964},{"id":"https://openalex.org/C170130773","wikidata":"https://www.wikidata.org/wiki/Q216378","display_name":"Usability","level":2,"score":0.44460034370422363},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.44442301988601685},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.42346176505088806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3798397183418274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.309426486492157},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19150790572166443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1669805347919464},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06637239456176758},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195908002659","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195908002659","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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 Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322832","display_name":"University of Tokyo","ror":"https://ror.org/057zh3y96"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1584045016","https://openalex.org/W1983020550","https://openalex.org/W2006063729","https://openalex.org/W2034879803","https://openalex.org/W2041784273","https://openalex.org/W2071514871","https://openalex.org/W2071973204","https://openalex.org/W2116814002","https://openalex.org/W2117225169","https://openalex.org/W2797626083","https://openalex.org/W2921636359","https://openalex.org/W4239339957"],"related_works":["https://openalex.org/W2036543038","https://openalex.org/W2071815454","https://openalex.org/W1983442754","https://openalex.org/W2265893536","https://openalex.org/W2355145174","https://openalex.org/W2392096499","https://openalex.org/W1956240806","https://openalex.org/W2012595140","https://openalex.org/W2162238560","https://openalex.org/W1836656571"],"abstract_inverted_index":{"Natural":[0],"neighbor":[1,17,70,83],"interpolation":[2,7,71],"is":[3,26,50,55,64,76],"a":[4,62],"scattered":[5],"data":[6],"method":[8],"based":[9],"on":[10],"Voronoi":[11],"diagrams.":[12],"A":[13],"class":[14],"of":[15,81],"natural":[16,69,82],"interpolants":[18,36],"are":[19],"defined":[20],"in":[21],"an":[22],"integral":[23],"form":[24],"which":[25],"not":[27],"suitable":[28],"for":[29,66],"computation.":[30],"This":[31],"paper":[32],"demonstrates":[33],"that":[34,52],"these":[35],"can":[37],"be":[38],"computed":[39],"solely":[40],"with":[41,72],"algebraic":[42],"operations":[43],"and":[44,61],"conditional":[45],"branches.":[46],"In":[47],"addition,":[48],"it":[49],"noted":[51],"special":[53],"care":[54],"required":[56],"to":[57],"achieve":[58],"stable":[59],"computation,":[60],"procedure":[63],"proposed":[65],"stably":[67],"calculating":[68],"computers.":[73],"Its":[74],"usability":[75],"ascertained":[77],"by":[78],"surface":[79],"drawings":[80],"interpolation.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
