{"id":"https://openalex.org/W2013739352","doi":"https://doi.org/10.1016/0167-8396(86)90034-8","title":"Scattered data interpolation and approximation with error bounds","display_name":"Scattered data interpolation and approximation with error bounds","publication_year":1986,"publication_date":"1986-11-01","ids":{"openalex":"https://openalex.org/W2013739352","doi":"https://doi.org/10.1016/0167-8396(86)90034-8","mag":"2013739352"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8396(86)90034-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90034-8","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/A5057286132","display_name":"Thomas A. Foley","orcid":"https://orcid.org/0000-0003-0347-7931"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas A. Foley","raw_affiliation_strings":["Computer Science Dept., Arizona State University, Tempe, AZ 85287, U.S.A","Computer Science Department Arizona State University, Tempe, AZ 85287, U.S.A"],"affiliations":[{"raw_affiliation_string":"Computer Science Dept., Arizona State University, Tempe, AZ 85287, U.S.A","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Computer Science Department Arizona State University, Tempe, AZ 85287, U.S.A","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057286132"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":5.2276,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.95277479,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"3","first_page":"163","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7790051698684692},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.7397094964981079},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7175073623657227},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.7042602300643921},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6003327369689941},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.5435999035835266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49144136905670166},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.47630059719085693},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.45631110668182373},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4334544539451599},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.4195531904697418},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.4183606207370758},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.4166330099105835},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.3992238938808441},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.3686016798019409},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.3312065601348877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26399093866348267},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1512482762336731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14843696355819702},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10582807660102844},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08096590638160706}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7790051698684692},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.7397094964981079},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7175073623657227},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.7042602300643921},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6003327369689941},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.5435999035835266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49144136905670166},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.47630059719085693},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.45631110668182373},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4334544539451599},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.4195531904697418},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4183606207370758},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.4166330099105835},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.3992238938808441},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.3686016798019409},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.3312065601348877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26399093866348267},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1512482762336731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14843696355819702},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10582807660102844},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08096590638160706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8396(86)90034-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90034-8","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1542048523","https://openalex.org/W1561696417","https://openalex.org/W1572940464","https://openalex.org/W1576724274","https://openalex.org/W1587467920","https://openalex.org/W1591196465","https://openalex.org/W1982687359","https://openalex.org/W2011082654","https://openalex.org/W2015332086","https://openalex.org/W2038921775","https://openalex.org/W2051618593","https://openalex.org/W2070833605","https://openalex.org/W2074520115","https://openalex.org/W2074797641","https://openalex.org/W2078349886","https://openalex.org/W2088216818","https://openalex.org/W2091754896","https://openalex.org/W2095769364","https://openalex.org/W2147169375","https://openalex.org/W2274563034","https://openalex.org/W2932249713","https://openalex.org/W2949146770","https://openalex.org/W3144112538","https://openalex.org/W6632306887","https://openalex.org/W6633697187","https://openalex.org/W6634221303","https://openalex.org/W6634744624","https://openalex.org/W6654309745","https://openalex.org/W6669145261","https://openalex.org/W6681742681","https://openalex.org/W6694617942","https://openalex.org/W6761139222"],"related_works":["https://openalex.org/W2553003891","https://openalex.org/W2352808182","https://openalex.org/W2062947881","https://openalex.org/W1989382313","https://openalex.org/W2355602298","https://openalex.org/W2403598878","https://openalex.org/W2075020252","https://openalex.org/W3158506795","https://openalex.org/W2889260206","https://openalex.org/W2347570911"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
