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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… Expand
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Related topics

Related topics

17 relations
Adjoint filterB-splineConvolutionDe Rham curve
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Papers overview

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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… Expand
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Highly Cited
2004
Highly Cited
2004
Knowledge strategy in organizations: refining the model of Hansen, Nohria and Tierney
We assessed the model of knowledge strategy and IT support proposed by Hansen, Nohria and Tierney. Their main argument is that… Expand
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Highly Cited
2003
Highly Cited
2003
Multiwavelet Frames from Refinable Function Vectors
Starting from any two compactly supported d-refinable function vectors in (L2(R))r with multiplicity r and dilation factor d, we… Expand
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Highly Cited
2003
Highly Cited
2003
Vector cascade algorithms and refinable function vectors in Sobolev spaces
  • Bin Han
  • J. Approx. Theory
  • 2003
    • Corpus ID: 15890036
In this paper we shall study vector cascade algorithms and refinable function vectors with a general isotropic dilation matrix in… Expand
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Highly Cited
2003
Highly Cited
2003
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
  • Bin Han
  • SIAM J. Matrix Anal. Appl.
  • 2003
    • Corpus ID: 304899
Smoothness and symmetry are two important properties of a refinable function. It is known that the Sobolev smoothness exponent of… Expand
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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… Expand
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2001
2001
Subdivision Schemes and Refinement Equations with Nonnegative Masks
  • Y. Wang
  • J. Approx. Theory
  • 2001
    • Corpus ID: 2456151
We consider the two-scale refinement equation f(x)=@?^N"n"="0c"nf(2x-n) with @?"nc"2"n=@?"nc"2"n"+"1=1 where c"0, c"N 0 and the… Expand
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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… Expand
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Highly Cited
1999
Highly Cited
1999
Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
Wavelets are generated from refinable functions by using multiresolution anlalysis. In this paper we investigate the srloothness… Expand
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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… Expand
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