@article {IOPORT.05688876,
    author       = {Bozzini, Mira and Lenarduzzi, Licia and Rossini, Milvia},
    title        = {Polyharmonic splines: an approximation method for noisy scattered data of extra-large size.},
    year         = {2010},
    journal      = {Applied Mathematics and Computation},
    volume       = {216},
    number       = {1},
    issn         = {0096-3003},
    pages        = {317-331},
    publisher    = {Elsevier Science Publishing Co. (North-Holland), New York},
    doi          = {10.1016/j.amc.2010.01.065},
    abstract     = {Summary: 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 $M\ll N$ degrees of freedom to recover the phenomenon faithfully.},
    identifier   = {05688876},
}