Polyharmonic B-splines: an approximation method for noisy scattered data of extra-large size (Articolo in rivista)

Type
Label
  • Polyharmonic B-splines: an approximation method for noisy scattered data of extra-large size (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.amc.2010.01.065 (literal)
Alternative label
  • Bozzini M.; Lenarduzzi L.; Rossini M. (2010)
    Polyharmonic B-splines: an approximation method for noisy scattered data of extra-large size
    in Applied mathematics and computation
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bozzini M.; Lenarduzzi L.; Rossini M. (literal)
Pagina inizio
  • 317 (literal)
Pagina fine
  • 331 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 216 (literal)
Rivista
Note
  • Scopus (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dip Matematica Applicata Milano Bicocca IMATI CNR Milano Dip Matematica Applicata Milano Bicocca (literal)
Titolo
  • Polyharmonic B-splines: an approximation method for noisy scattered data of extra-large size (literal)
Abstract
  • The aim of this paper is to provide a fast method, with a good quality of reproduction, to recover functions from very large and irregularly scattered samples of noisy data, which may present outliers. To the given sample of size N, we associate a uniform grid and, around each grid point, we condense the local information given by the noisy data by a suitable estimator. The recovering is then performed by a stable interpolation based on isotropic polyharmonic B-splines. Due to the good approximation rate, we need only M\lt N degrees of freedom to recover the phenomenon faiythully. (literal)
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