Some generalized method for constructing nonseparable compactly supported wavelets in $L^2(R^2)$

• DOI: 10.7494/opmath.2013.33.2.223
• Publication Date: 2013-02-11T16:55:13Z
• Authors: Wojciech Banaś
• Keywords: T57-57.97; Applied mathematics. Quantitative methods; compactly supported scaling function; accuracy; compactly supported wavelet; orthonormality; 0101 mathematics; dilation matrix; 01 natural sciences; multiresolution analysis

In this paper we show the construction of nonseparable compactly supported bivariate wavelets.We deal with dilation matrix A = 0 2 1 and some three-row coefficient mask; that is a scaling function satisfies equation coefficients which can be contained in set {cn}n∈S , where S S1 × {0, 1, 2}, ⊂ N, < ∞.