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Interpolation with circular basis functions

By Simon Hubbert and S. Muller

Abstract

In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which enables an investigation into the stability and accuracy of the method. This work is a further extension and application of the research of Cheney, Light and Xu ([W.A. Light and E.W. Cheney, J. Math. Anal. Appl., 168:110–130, 1992] and [Y. Xu and E.W. Cheney, Computers Math. Applic., 24:201–215, 1992]) from the early nineties

Topics: ems
Publisher: Springer
Year: 2006
OAI identifier: oai:eprints.bbk.ac.uk.oai2:392

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Citations

  1. (1979). Circulant Matrices, Wiley-Interscience,
  2. (1998). Constructive Approximation on the Sphere with Applications to Geomathematics, doi
  3. (2002). Handscomb: Chebyshev Polynomials, Chapman and Hall doi
  4. (1992). Interpolation by periodic radial basis functions, doi
  5. (1992). Interpolation by periodic radial functions, doi
  6. (2004). On the accuracy of surface spline interpolation on the unit sphere,
  7. (1942). Positive definite functions on spheres, doi
  8. (2003). Radial Basis Functions, Cambridge Monographs on Applied and Computational Mathematics, doi
  9. (1999). sk-spline interpolation on compact abelian groups, doi
  10. (1999). Special Functions, Encyclopedia of Mathematics and its Applications 71, doi
  11. (1992). Strictly positive definite functions on spheres, doi

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