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CS-RBF interpolation of surfaces with vertical faults from scattered data

Author

Listed:
  • Izquierdo, Diego
  • de Silanes, María Cruz López
  • Parra, María Cruz
  • Torrens, Juan José

Abstract

In this paper, the problem of the interpolation of explicit surfaces with vertical faults from scattered data is studied. A new interpolation scheme for compactly supported radial basis functions is proposed which is well adapted to our purpose. This method is based on the construction of an interpolant of the same type in dimension 3 by moving the centers to a convenient auxiliary bivariate explicit surface. Several numerical and graphical examples are shown which illustrate the efficiency of the method.

Suggested Citation

  • Izquierdo, Diego & de Silanes, María Cruz López & Parra, María Cruz & Torrens, Juan José, 2014. "CS-RBF interpolation of surfaces with vertical faults from scattered data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 11-23.
    • Handle: RePEc:eee:matcom:v:102:y:2014:i:c:p:11-23
    DOI: 10.1016/j.matcom.2013.05.015
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    References listed on IDEAS

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    1. López de Silanes, María Cruz & Parra, María Cruz & Torrens, Juan José, 2008. "On a new characterization of finite jump discontinuities and its application to vertical fault detection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 247-256.
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    Cited by:

    1. Liu, Chengzhi & Liu, Zhongyun & Han, Xuli, 2021. "Preconditioned progressive iterative approximation for tensor product Bézier patches," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 372-383.

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