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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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Highly Cited
2004
Highly Cited
2004
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
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
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
  • 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
  • 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
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
  • 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
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
Wavelets are generated from refinable functions by using multiresolution anlalysis. In this paper we investigate the srloothness… Expand
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1997
1997
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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