Spherical spline interpolation—basic theory and computational aspects

  title={Spherical spline interpolation—basic theory and computational aspects},
  author={Willi Freeden},
  journal={Journal of Computational and Applied Mathematics},
  • W. Freeden
  • Published 1984
  • Mathematics
  • Journal of Computational and Applied Mathematics
Abstract The purpose of the paper is to adapt to the spherical case the basic theory and the computational method known from surface spline interpolation in Euclidean spaces. Spline functions are defined on the sphere. The solution process is made simple and efficient for numerical computation. In addition, the convergence of the solution obtained by spherical spline interpolation is developed using estimates for Legendre polynomials. 
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  • in: B. Brosowski and E. Martensen, Eds., Methoden und Verfahren der Math. Physik, Bd.27
  • 1983
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  • Boll. Geod. Sci. Aff. 1
  • 1982