Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634953 | Applied Mathematics and Computation | 2007 | 13 Pages |
Abstract
In the present work we consider the problem of interpolating scattered data using radial basis functions (RBF). In general, it is well known that this leads to a discrete linear inverse problem that needs to be regularized in order to provide a meaningful solution. The work focuses on a metric-regularization approach, based on a new class of RBF, called anisotropic RBF. The work provides theoretical justifications for the regularization approach and it considers a suitable proposal for the metric, supporting it by numerical examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G. Casciola, L.B. Montefusco, S. Morigi,