Box Splines pp 105-136 | Cite as

Approximation by cardinal splines & wavelets

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


In this chapter, we study the approximation by cardinal spline series. We look at just two possibilities. In the first part, we consider approximation as the degree tends to infinity. In the second part, we keep the degree (i.e., the direction matrix used) fixed, but allow the mesh width to go to zero, and this includes a discussion of box spline wavelets.


Fundamental Domain Wavelet Decomposition Real Analytic Function Versus Approximation Refinement Equation 
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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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