@Article{Banaś2013,
author = "Banaś, Wojciech",
title = "Some generalized method for constructing nonseparable compactly supported wavelets in L<sup>2</sup>(R<sup>2</sup>)",
journal = "Opuscula Math.",
year = "2013",
volume = "33",
number = "2",
pages = "223--235",
doi = "http://dx.doi.org/10.7494/OpMath.2013.33.2.223",
url = "http://dx.doi.org/10.7494/OpMath.2013.33.2.223",
abstract = "In this paper we show some construction of nonseparable compactly supported bivariate wavelets. We deal with the dilation matrix \(A = \tiny{\left[\begin{matrix}0 & 2 \cr 1 & 0 \cr \end{matrix} \right]}\) and some three-row coefficient mask; that is a scaling function satisfies a dilation equation with scaling coefficients which can be contained in the set \(\{c_{n}\}_{n \in\mathcal{S}},\) where \(\mathcal{S}=S_{1} \times \{0,1,2\},\) \(S_{1} \subset \mathbb{N},\) \(\sharp S_{1} \lt \infty.\)",
keywords = "compactly supported wavelet, compactly supported scaling function, multiresolution analysis, dilation matrix, orthonormality, accuracy",
issn = "1232-9274"
}