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Title:      A NEW RADIAL BASIS FUNCTION APPROXIMATION WITH REPRODUCTION
Author(s):      Zuzana Majdisova, Vaclav Skala
ISBN:      978-989-8533-52-4
Editors:      Katherine Blashki and Yingcai Xiao
Year:      2016
Edition:      Single
Keywords:      Radial basis function; RBF; approximation; optimization problem; linear reproduction
Type:      Full Paper
First Page:      215
Last Page:      222
Language:      English
Cover:      cover          
Full Contents:      click to dowload Download
Paper Abstract:      Approximation of scattered geometric data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for large scattered (unordered) datasets in -dimensional space. This method is useful for a higher dimension , because the other methods require a conversion of a scattered dataset to a semi-regular mesh using some tessellation techniques, which is computationally expensive. The RBF approximation is non-separable, as it is based on a distance of two points. It leads to a solution of overdetermined Linear System of Equations (LSE). In this paper a new RBF approximation method is derived and presented. The presented approach is applicable for -dimensional cases in general.
   

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