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  3. Radial Basis Functions
  • Cited by 1539
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    • Publisher:
      Cambridge University Press
      Publication date:
      14 August 2009
      03 July 2003
      ISBN:
      9780511543241
      9780521633383
      9780521101332
      DOI:
      https://doi.org/10.1017/CBO9780511543241
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.56kg, 272 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.4kg, 272 Pages
      • Subjects:
      Mathematics, Computational Science, Numerical Analysis and Computational Science
      Series:
      Cambridge Monographs on Applied and Computational Mathematics (12)
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    Subjects:
    Mathematics, Computational Science, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (12)
    Information

    Book description

    In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general circumstances and so are becoming of widespread use as the limitations of other methods, such as least squares, polynomial interpolation or wavelet-based, become apparent. The author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence and provides a careful classification of the radial basis functions into types that have different convergence. A comprehensive bibliography rounds off what will prove a very valuable work.

    Reviews

    "A must read for anyone making direct use of this tool, and a must browse for anyone interested in keeping up with the state of the art in multivariate approximation theory in general." Computing Reviews

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