Thinplate Splines on the Sphere

• 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
• 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.

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...