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… (More)
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Papers overview

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2009
2009
ANALYSIS AND CONSTRUCTION OF MULTIVARIATE INTERPOLATING REFINABLE FUNCTION VECTORS
In this paper, we shall introduce and study a family of multivariate interpolating refinable function vectors with some… (More)
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2007
2007
Generalized interpolating refinable function vectors
Interpolating scalar refinable functions with compact support are of interest in several applications such as sampling theory… (More)
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2006
2006
Biorthogonal two-direction refinable function and two-direction wavelet
The concept of two-direction refinable function and two-direction wavelet is generalized to the biorthogonal setting. The… (More)
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2003
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… (More)
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Highly Cited
2003
Highly Cited
2003
Vector cascade algorithms and refinable function vectors in Sobolev spaces
  • Bin Han
  • Journal of Approximation Theory
  • 2003
In this paper we shall study vector cascade algorithms and refinable function vectors with a general isotropic dilation matrix in… (More)
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2003
2003
SYMMETRIC MULTIVARIATE ORTHOGONAL REFINABLE FUNCTIONS
In this paper, we shall investigate the symmetry property of a multivariate orthogonal M -refinable function with a general… (More)
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2003
2003
Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
  • Bin Han
  • SIAM J. Matrix Analysis Applications
  • 2003
Smoothness and symmetry are two important properties of a refinable function. It is known that the Sobolev smoothness exponent of… (More)
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2001
2001
A Decay Theorem for Refinable Functions
we show that a refinable function with absolutely summable mask cannot have exponential decay in both time and frequency… (More)
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1999
1999
Compactly Supported Refinable Functions with Infinite Masks
A compactly supported scaling function can come from a refinement equation with infinitely many nonzero coefficients (an infinite… (More)
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1995
1995
Smooth Refinable Functions Provide Good Approximation Orders
We apply the general theory of approximation orders of shift-invariant spaces of [BDR1-3] to the special case when the finitely… (More)
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