Wendland Compact Support Radial Basis Functions

Version 2.0.0.0 (1.92 KB) by Chris Oates
A script to compute the compact support radial basis functions proposed by Holger Wendland.
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170 Downloads
Updated 5 Oct 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.

Cite As

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. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with R2021a and later releases
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
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.