# Refinable function

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2009

2009

- 2009

In this paper, we shall introduce and study a family of multivariate interpolating refinable function vectors with someâ€¦Â (More)

Is this relevant?

2007

2007

- 2007

Interpolating scalar refinable functions with compact support are of interest in several applications such as sampling theoryâ€¦Â (More)

Is this relevant?

2006

2006

- Applied Mathematics and Computation
- 2006

The concept of two-direction refinable function and two-direction wavelet is generalized to the biorthogonal setting. Theâ€¦Â (More)

Is this relevant?

2003

2003

- Adv. Comput. Math.
- 2003

Starting from any two compactly supported d-refinable function vectors in ( L2(R) )r with multiplicity r and dilation factor dâ€¦Â (More)

Is this relevant?

Highly Cited

2003

Highly Cited

2003

- Journal of Approximation Theory
- 2003

In this paper we shall study vector cascade algorithms and refinable function vectors with a general isotropic dilation matrix inâ€¦Â (More)

Is this relevant?

2003

2003

- 2003

In this paper, we shall investigate the symmetry property of a multivariate orthogonal M -refinable function with a generalâ€¦Â (More)

Is this relevant?

2003

2003

- 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 ofâ€¦Â (More)

Is this relevant?

2001

2001

- 2001

we show that a refinable function with absolutely summable mask cannot have exponential decay in both time and frequencyâ€¦Â (More)

Is this relevant?

1999

1999

- 1999

A compactly supported scaling function can come from a refinement equation with infinitely many nonzero coefficients (an infiniteâ€¦Â (More)

Is this relevant?

1995

1995

- 1995

We apply the general theory of approximation orders of shift-invariant spaces of [BDR1-3] to the special case when the finitelyâ€¦Â (More)

Is this relevant?