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A note on polynomial-free unisolvence of polyharmonic splines at random points

In this note we prove almost sure unisolvence of RBF interpolation on randomly distributed sequences by a wide class of polyharmonic splines (including Thin-Plate Splines), without polynomial addition.

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Bibliographic Details
Published in:Applied mathematics letters 2024-11, Vol.157, p.109161, Article 109161
Main Authors: Bos, Len, Sommariva, Alvise, Vianello, Marco
Format: Article
Language:English
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Summary:In this note we prove almost sure unisolvence of RBF interpolation on randomly distributed sequences by a wide class of polyharmonic splines (including Thin-Plate Splines), without polynomial addition.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2024.109161