The Mathematical Institute, University of Oxford, Eprints Archive

Compactly supported radial basis functions: How and why?

Zhu, Shengxin (2012) Compactly supported radial basis functions: How and why? Technical Report. SIAM. (Submitted)

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Compactly supported basis functions are widely required and used in many applications. We explain why radial basis functions are preferred to multi-variate polynomials for scattered data approximation in high-dimensional space and give a brief description on how to construct the most commonly used compactly supported radial basis functions - the Wendland functions and the new found missing Wendland functions. One can construct a compactly supported radial basis function with required smoothness according to the procedure described here without sophisticated mathematics. Very short programs and extended tables for compactly supported radial basis functions are supplied.

Item Type:Technical Report (Technical Report)
Subjects:O - Z > Real functions
O - Z > Special functions
A - C > Approximations and expansions
D - G > General
H - N > Mathematics education
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1513
Deposited By: Lotti Ekert
Deposited On:05 May 2012 07:19
Last Modified:29 May 2015 19:12

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