Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

Document Type: Research Paper

Authors

1 Xi'an University of Arts and Science

2 Xi'an Jiaotong University

3 The Northwest Secondly National College

Abstract

We present a method for  the construction of compactly
supported $\left (
\begin{array}{lll}
1 & 0 & -1\\
1 & 1 & 0 \\
1 &  0 & 1\\
\end{array}
\right )$-wavelets  under a mild condition. Wavelets inherit the
symmetry of the corresponding scaling function and satisfies the
vanishing moment condition originating in the symbols of the scaling
function. As an application, an  example is  provided.