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Approximation with Radial Bases Functions

In: Mathematical Geosciences

Author

Listed:
  • Joseph L. Awange

    (Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences)

  • Béla Paláncz

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

  • Robert H. Lewis

    (Fordham University)

  • Lajos Völgyesi

    (Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering)

Abstract

Employing RBF as a function approximation method is introduced. Different types of RBF functions are considered and their effectiveness discussed, especially positive definite RBF. In order to use them in meshless techniques, their generic derivatives are presented. These functions can be employed as an activation function in a neural network for image compression. Examples for solution for partial differential equations and nonlinear heat transfer problems are presented.

Suggested Citation

  • Joseph L. Awange & Béla Paláncz & Robert H. Lewis & Lajos Völgyesi, 2023. "Approximation with Radial Bases Functions," Springer Books, in: Mathematical Geosciences, edition 2, chapter 10, pages 355-390, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-92495-9_10
    DOI: 10.1007/978-3-030-92495-9_10
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