We propose an adaptive local procedure, which uses the modified Shepard's method with local polyharmonic interpolants. The aim is to reconstruct, in a faithful way, a function known by a large and highly irregularly distributed sample. Such a problem is generally related to the recovering of geophysical surfaces, where the sample is measured according to the behaviour of the surface. The adaptive local procedure is used to calculate, by an efficient algorithm, an interpolating polyharmonic function, when a very large sample is assigned. When we consider a sample of size $N<104$, we propose an approximating polyharmonic function obtained by combining adaptively a global interpolant, relevant to a subset of the data, with local adaptive interpolants. The goodness of the approximating functions in two different cases is shown by real examples.

Bozzini, M., Lenarduzzi, L. (2009). An adaptive local procedure to approximate unevenly distributed data. COMMUNICATIONS TO SIMAI CONGRESS, 3, 260-272 [10.1685/CSC09260].

An adaptive local procedure to approximate unevenly distributed data

BOZZINI, MARIA TUGOMIRA;
2009

Abstract

We propose an adaptive local procedure, which uses the modified Shepard's method with local polyharmonic interpolants. The aim is to reconstruct, in a faithful way, a function known by a large and highly irregularly distributed sample. Such a problem is generally related to the recovering of geophysical surfaces, where the sample is measured according to the behaviour of the surface. The adaptive local procedure is used to calculate, by an efficient algorithm, an interpolating polyharmonic function, when a very large sample is assigned. When we consider a sample of size $N<104$, we propose an approximating polyharmonic function obtained by combining adaptively a global interpolant, relevant to a subset of the data, with local adaptive interpolants. The goodness of the approximating functions in two different cases is shown by real examples.
Articolo in rivista - Articolo scientifico
unevenly scattered data, adaptivity, polyharmonic functions
English
2009
3
260
272
none
Bozzini, M., Lenarduzzi, L. (2009). An adaptive local procedure to approximate unevenly distributed data. COMMUNICATIONS TO SIMAI CONGRESS, 3, 260-272 [10.1685/CSC09260].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/28973
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact