{"doi":"10.1109/cdc.2009.5399523","title":"Recursive construction of smoothing spline surfaces using normalized uniform B-splines","abstract":null,"journal":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","year":2009,"id":672249,"datarank":0.20794415416798362,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.0,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1756367,"name":"Hiroyuki Kano","orcid":null,"position":1,"is_corresponding":false},{"id":1756366,"name":"Hiroyuki Fujioka","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Recursive construction of smoothing spline surfaces using normalized uniform B-splines","abstract":"This paper considers the problem of constructing smoothing spline surfaces recursively each time when a new set of data is observed. The spline surfaces are constituted by employing normalized uniform B-splines as the basis functions. Then, based on the basic problem of optimal smoothing splines and an idea of recursive least squares method, we develop a recursive design algorithm of optimal smoothing splines. In addition, by assuming that the data for smoothing is obtained by sampling a surface, we analyze asymptotical and statistical properties of designed smoothing spline surfaces when the number of iterations tends to infinity. The algorithm and analyses are extended to the periodic case. We demonstrate the effectiveness and usefulness by numerical examples.","is_dataset_classified":null,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19965766","pmcid":null,"openalex_id":"https://openalex.org/W2160550653","authors":[],"funders":[],"total_grants":0,"fwci":0.5777,"citation_percentile":0.70956882,"influential_citations":0,"citation_trend":[{"year":2016,"count":1},{"year":2022,"count":1}],"oa_status":"closed","license":null,"oa_locations":[{"url":"http://xplorestaging.ieee.org/ielx5/5379695/5399469/05399523.pdf?arnumber=5399523","host_type":"publisher"},{"url":"https://doi.org/10.1109/cdc.2009.5399523","host_type":""}],"fields_of_study":["Advanced Numerical Analysis Techniques","Advanced Measurement and Metrology Techniques","Optical measurement and interference techniques"],"mesh_terms":[],"keywords":["Smoothing","Smoothing spline","Spline (mechanical)","Mathematics","Box spline","Mathematical optimization","Basis function","Applied mathematics","Thin plate spline","B-spline","Algorithm","Basis (linear algebra)","Computer science","Mathematical analysis","Geometry","Spline interpolation","Statistics"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Sustainable cities and communities"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-16T08:20:14.384887Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}