{"id":"https://openalex.org/W2041559800","doi":"https://doi.org/10.1145/45054.45055","title":"Multivariate interpolation of large sets of scattered data","display_name":"Multivariate interpolation of large sets of scattered data","publication_year":1988,"publication_date":"1988-06-01","ids":{"openalex":"https://openalex.org/W2041559800","doi":"https://doi.org/10.1145/45054.45055","mag":"2041559800"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/45054.45055","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/45054.45055","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/45054.45055","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018073985","display_name":"Robert J. Renka","orcid":null},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"funder","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert J. Renka","raw_affiliation_strings":["University of North Texas, Denton"],"affiliations":[{"raw_affiliation_string":"University of North Texas, Denton","institution_ids":["https://openalex.org/I123534392"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018073985"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":null,"apc_paid":null,"fwci":3.082,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":356,"citation_normalized_percentile":{"value":0.983981,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"14","issue":"2","first_page":"139","last_page":"148"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9967,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9967,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9955,"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/T11106","display_name":"Data Management and Algorithms","score":0.9909,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation","score":0.7125532},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.5716622}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7125532},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.69205165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5879387},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.5716622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5615351},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4926389},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.46542686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39845696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39533067},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35510784},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21259242},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1225546},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09588778},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.094770014},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/45054.45055","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/45054.45055","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/45054.45055","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/45054.45055","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":14,"referenced_works":["https://openalex.org/W1542048523","https://openalex.org/W1572940464","https://openalex.org/W1576724274","https://openalex.org/W2015332086","https://openalex.org/W2024766881","https://openalex.org/W2038921775","https://openalex.org/W2041726503","https://openalex.org/W2074797641","https://openalex.org/W2075665712","https://openalex.org/W2092276439","https://openalex.org/W2142619821","https://openalex.org/W2147169375","https://openalex.org/W2150712551","https://openalex.org/W2733827376"],"related_works":["https://openalex.org/W4390676593","https://openalex.org/W4388756411","https://openalex.org/W4254727403","https://openalex.org/W4246072395","https://openalex.org/W4231467862","https://openalex.org/W3164518896","https://openalex.org/W2313419190","https://openalex.org/W2098791415","https://openalex.org/W2030407339","https://openalex.org/W2022348995"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,7,27,42,62,86,109],"method":[4,24,74,89,111],"of":[5,10,41,72],"constructing":[6],"smooth":[8],"function":[9],"two":[11,53,118],"or":[12],"more":[13,51],"variables":[14,122],"that":[15],"interpolates":[16],"data":[17,30],"values":[18,31],"at":[19,32],"arbitrarily":[20],"distributed":[21],"points.":[22],"Shepard's":[23,88],"for":[25,112,117],"fitting":[26],"surface":[28],"to":[29,50,67,98],"scattered":[33],"points":[34],"in":[35],"the":[36,39,93],"plane":[37],"has":[38,95],"advantages":[40],"small":[43],"storage":[44],"requirement":[45],"and":[46,61,119],"an":[47],"easy":[48],"generalization":[49],"than":[52],"independent":[54,121],"variables,":[55],"but":[56,80],"suffers":[57],"from":[58],"low":[59,77],"accuracy":[60,96],"high":[63],"computational":[64,78],"cost":[65],"relative":[66],"some":[68],"alternative":[69],"methods.":[70,101],"Localizations":[71],"this":[73],"have":[75],"reasonably":[76],"costs,":[79],"remain":[81],"relatively":[82],"inaccurate.":[83],"We":[84],"describe":[85],"modified":[87],"that,":[90],"without":[91],"sacrificing":[92],"advantages,":[94],"comparable":[97],"other":[99],"local":[100],"Computational":[102],"efficiency":[103],"is":[104],"also":[105],"improved":[106],"by":[107],"using":[108],"cell":[110],"nearest-neighbor":[113],"searching.":[114],"Test":[115],"results":[116],"three":[120],"are":[123],"presented.":[124]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2041559800","counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":24},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":14}],"updated_date":"2025-03-09T04:22:04.062777","created_date":"2016-06-24"}