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

摘要

In this paper, under a mild condition, the construction of compactly supported (2, 2, 1: -1, -1, 0: -1, -3, -1)-wavelets is obtained. Wavelets inherits the symmetry of the corresponding scaling function and satisfies the vanishing moment condition originating in the symbols of the scaling function. One example is also given to demonstrate the general theory.