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Box Splines pp 159-174 | Cite as

Subdivision algorithms

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

Abstract

Since the shifts of the box spline M = Mn form a nonnegative, local partition of unity, (M*a) (x) is a finite convex combination of the coefficients a, i.e.,

Keywords

Linear Convergence Refinement Equation Mesh Function Subdivision Algorithm Local Partition 
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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