Polyharmonic splines: An approximation method for noisy scattered data of extra-large size |
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Authors: | Mira Bozzini Licia Lenarduzzi |
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Affiliation: | a Dip. Mat. Appl., Università di Milano Bicocca, via Cozzi 53, 20125 Milano, Italy b IMATI CNR, via Bassini 15, 20133 Milano, Italy |
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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?N degrees of freedom to recover the phenomenon faithfully. |
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Keywords: | Polyharmonic B-splines Interpolation Noisy data Outliers Unevenly scattered data |
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