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  3. Spline Functions on Triangulations
  • Cited by 262
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2010
      April 2007
      ISBN:
      9780511721588
      9780521875929
      DOI:
      https://doi.org/10.1017/CBO9780511721588
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.998kg, 608 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis, Numerical Analysis and Computational Science
      Series:
      Encyclopedia of Mathematics and its Applications (110)
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis, Numerical Analysis and Computational Science
    Series:
    Encyclopedia of Mathematics and its Applications (110)
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    Book description

    Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-Bézier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.

    Reviews

    'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.'

    Source: Mathematical Reviews

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