Numerical Algorithms

, Volume 1, Issue 3, pp 331–351 | Cite as

Using the refinement equation for the construction of pre-wavelets III: Elliptic splines

  • Charles A. Micchelli
  • Christophe Rabut
  • Florencio I. Utreras


The purpose of this paper is to provide multiresolution analysis, stationary subdivision and pre-wavelet decomposition onL2(R d ) based on a general class of functions which includes polyharmonic B-splines.

Subject Classification

AMS (NOS) 41A15 41A63 42B99 


Cubesplines elliptic splines wavelets subdivision 


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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1991

Authors and Affiliations

  • Charles A. Micchelli
    • 1
  • Christophe Rabut
    • 2
  • Florencio I. Utreras
    • 3
  1. 1.IBM Research DivisionT.J. Watson Research Center, Mathematical Sciences DepartmentYorktown HeightsU.S.A.
  2. 2.INSA-Centre de Mathématiques, Complexe Scientifique de RangueilToulouse CedexFrance
  3. 3.Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y MatemáticasUniversidad de ChileSantiagoChile

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