Wendland Compact Support Radial Basis Functions

A script to compute the compact support radial basis functions proposed by Holger Wendland.

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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.

Citar como

Chris Oates (2026). Wendland Compact Support Radial Basis Functions (https://la.mathworks.com/matlabcentral/fileexchange/63688-wendland-compact-support-radial-basis-functions), MATLAB Central File Exchange. Recuperado .

Información general

Compatibilidad con la versión de MATLAB

  • Compatible con cualquier versión desde R2021a

Compatibilidad con las plataformas

  • Windows
  • macOS
  • Linux
Versión Publicado Notas de la versión Action
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.