Box Splines pp 79-103 | Cite as

Cardinal interpolation & difference equations

  • Carl de Boor
  • Klaus Höllig
  • Sherman Riemenschneider
Part of the Applied Mathematical Sciences book series (AMS, volume 98)

Abstract

In this chapter, we consider cardinal interpolation, i.e., the interpolation to data on the integer mesh, from a space of cardinal splines. This problem is intimately connected to the solution of a multivariate difference equation, and the qualitative properties of the interpolation, its correctness or singularity, are determined by the symbol of the difference equation.

Keywords

Difference Equation Fundamental Solution Linear Independence Fundamental Function Poisson Summation Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Carl de Boor
    • 1
  • Klaus Höllig
    • 2
  • Sherman Riemenschneider
    • 3
  1. 1.Center for Mathematical SciencesUniversity of Wisconsin-MadisonMadisonUSA
  2. 2.Math Institut A der UniversitätStuttgart 80Germany
  3. 3.Department of MathematicsUniversity of AlbertaEdmontonCanada

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