Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets

Parameterization for Bivariate Nonseparable Wavelets

In this paper, we give a complete and simple parameterization for bivariate non-separable compactly supported orthonormal wavelets based on the commonly used uniform dilation matrix       = 0 1 2 0 D Key-Words: Wavelets, Nonseparable, Bivariate, Parameterization

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Construction of Bivariate Nonseparable Compactly Supported Orthonormal Multiwavelets with Arbitrarily High Regularity

A suucient condition for the orthonormality of reenable vector functions is given. Then we construct examples of orthonormal compactly supported multiscal-ing functions and their associated multiwavelets with arbitrarily high regularity in the univariate and bivariate settings. We use this suucient condition to check their orthonor-mality.

A Family of nonseparable Smooth compactly Supported Wavelets

We construct smooth nonseparable compactly supported refinable functions that generate multiresolution analyses on L2(R), d > 1. Using these refinable functions we construct smooth nonseparable compactly supported orthonormal wavelet systems. These systems are nonseparable, in the sense that none of its constituent functions can be expressed as the product of two functions defined on lower dime...

Construction of multivariate compactly supported orthonormal wavelets

We propose a constructive method to find compactly supported orthonormal wavelets for any given compactly supported scaling function φ in the multivariate setting. For simplicity, we start with a standard dilation matrix 2I2×2 in the bivariate setting and show how to construct compactly supported functions ψ1, · · · , ψn with n > 3 such that {2ψj(2x − `, 2ky − m), k, `,m ∈ Z, j = 1, . . . , n} ...