Thinplate Splines on the Sphere

In this paper, we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate splines for Rᵈ were introduced by Duchon and have become a widely used tool in myriad applications. The analogues for Sᵈ⁻¹ are the thi...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Beatson, R.K., Zu Castell, W.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209767
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Thinplate Splines on the Sphere / R.K. Beatson, W. Zu Castell // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine