TY  - JOUR
ID  - Banaś2013
LB  - Banaś2013
AU  - Banaś, Wojciech
TI  - Some generalized method for constructing nonseparable compactly supported wavelets in L<sup>2</sup>(R<sup>2</sup>)
ST  - Some generalized method for constructing nonseparable compactly supported wavelets in L<sup>2</sup>(R<sup>2</sup>)
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 2
SP  - 223
EP  - 235
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.2.223
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.2.223
AB  - 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 \(\mathcal{S}=S_{1} \times \{0,1,2\},\) \(S_{1} \subset \mathbb{N},\) \(\sharp S_{1} \lt \infty.\)
KW  - compactly supported wavelet
KW  - compactly supported scaling function
KW  - multiresolution analysis
KW  - dilation matrix
KW  - orthonormality
KW  - accuracy
SN  - 1232-9274
ER  -