Constructive Approximation

, Volume 11, Issue 3, pp 365–380 | Cite as

How does truncation of the mask affect a refinable function?

  • Ingrid Daubechies
  • Ying Huang


If the mask of a refinable function has infinitely many coefficients, or if the coefficients are irrational, then it is often replaced by a finite mask with coefficients with terminating decimal expansions when it comes to applications. This note studies how such truncation affects the refinable function.

AMS classification

26A16 26A18 39B10 40A30 

Key words and phrases

Subdivision schemes Refinable functions Wavelets 


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Copyright information

© Springer-Verlag New York, Inc 1995

Authors and Affiliations

  • Ingrid Daubechies
    • 1
  • Ying Huang
    • 2
  1. 1.Mathematics DepartmentPrinceton UniversityPrincetonUSA
  2. 2.Mathematics DepartmentRutgers UniversityNew BrunswickUSA

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