Wendland Compact Support Radial Basis Functions

A script to compute the compact support radial basis functions proposed by Holger Wendland.
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Aktualisiert 5. Okt 2023

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This small script computes the compact support radial basis functions due to Holger Wendland. The computation is iterative, based on repeated symbolic integration, with the output being a function handle that is cheaply called. The original reference for these functions is Wendland, H. (1995) Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Advances in Computational Mathematics 4(1), 389-396.

Zitieren als

Chris Oates (2024). Wendland Compact Support Radial Basis Functions (https://www.mathworks.com/matlabcentral/fileexchange/63688-wendland-compact-support-radial-basis-functions), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R2021a
Kompatibel mit R2021a und späteren Versionen
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Version Veröffentlicht Versionshinweise
2.0.0.0

This version fixes a bug to ensure that the Wendland RBFs are 0 on (-inf,0] and [1,inf), whereas before they took the value 1/2 at 0, due to how the Heaviside function is defined in MATLAB.

1.0.0.0

Added graphic to File Exchange.
Given the submission a more informative name.