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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

Semantic Scholar uses AI to extract papers important to this topic.
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
  • B. 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
Highly Cited
2003
Highly Cited
2003
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
  • B. 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
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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2000
2000
A class of totally positive refinable functions
Refinable functions play a main role in the construction of wavelets; here we present a large class of refinable functions which… 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
Review
1997
Review
1997
Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations
Abstract This survey article is concerned with two basic approximation concepts and their interrelation with the numerical… Expand
Highly Cited
1963
Highly Cited
1963
A New Model for Error Clustering in Telephone Circuits
This paper proposes a new mathematical model to describe the distribution of the occurrence of errors in data transmission on… Expand
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