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Refinable function

In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfils some kind of self-similarity. A function is called… 
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Related topics

Related topics

17 relations
Adjoint filterB-splineConvolutionDe Rham curve

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2010
Review
2010
The second and third parameters of the horizontal branch in globular clusters
Context. The second parameter (the first being metallicity) defining the distribution of stars on the horizontal branch (HB) of… 
Highly Cited
2004
Highly Cited
2004
Pairs of Dual Wavelet Frames from Any Two Refinable Functions
Abstract Starting from any two compactly supported refinable functions in L2(R) with dilation factor d,we show that it is always… 
Highly Cited
2004
Highly Cited
2004
Knowledge strategy in organizations: refining the model of Hansen, Nohria and Tierney
Highly Cited
2003
Highly Cited
2003
Multiwavelet Frames from Refinable Function Vectors
  • B. HanQun Mo
  • Advances in Computational Mathematics
  • 2003
  • Corpus ID: 15709250
Starting from any two compactly supported d-refinable function vectors in (L2(R))r with multiplicity r and dilation factor d, we… 
Highly Cited
2003
Highly Cited
2003
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
  • B. Han
  • SIAM Journal on Matrix Analysis and Applications
  • 2003
  • Corpus ID: 304899
Smoothness and symmetry are two important properties of a refinable function. It is known that the Sobolev smoothness exponent of… 
Highly Cited
2003
Highly Cited
2003
A Spatio-Temporal Logic for the Specification and Refinement of Mobile Systems
We define a variant of Lamport's Temporal Logic of Actions, extended by spatial modalities, that is intended for the… 
2002
2002
Construction of Smooth Refinable Function Vectors by Cascade Algorithms
This paper establishes an equivalent relation between the convergence of a cascade algorithm in Sobolev space and the convergence… 
Highly Cited
2001
Highly Cited
2001
Compactly supported tight and sibling frames with maximum vanishing moments
Highly Cited
2000
Highly Cited
2000
Compactly supported tight frames associated with refinable functions
Abstract It is well known that in applied and computational mathematics, cardinal B-splines play an important role in geometric… 
1997
1997
Smooth refinable functions provide good approximation orders
We apply the general theory of approximation orders of shift-invariant spaces of [C. de Boor, R. A. DeVore, and A. Ron, Trans… 
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