Browsing by Subject "multiresolution analysis"

Now showing 1 - 4 of 4

Access status: Open Access ,
Compactly supported multi-wavelets
(2012) Banaś, Wojciech
In this paper we show some construction of compactly supported multi-wavelets In $L^2(\mathbb{R}^d)$, $d \geq 2$ which is based on the one-dimensional case, when $d = 1$. We also demonstrate that some methods, which are useful in the construction of wavelets with a compact support at $d = 1$, can be adapted to higher-dimensional cases if $A \in M_{d \times d}(\mathbb{Z})$ is an expansive matrix of a special form.
Access status: Restricted ,
Falki o nośniku zwartym
(Data obrony: 2014-10-30) Nikiel, Paweł
Wydział Matematyki Stosowanej
Access status: Restricted ,
Falkowe estymatory funkcji gęstości i funkcji regresji
(Data obrony: 2013-10-23) Gomułka, Magdalena
Wydział Matematyki Stosowanej
Access status: Open Access ,
Some generalized method for constructing nonseparable compactly supported wavelets in L2(R2)
(2013) Banaś, Wojciech
In this paper we show the construction of nonseparable compactly supported bi-variate 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 that satisfies a dilation equation with scaling coefficients which can be contained in the set $\{c_{n}\}_{n \in\mathcal{S}},$ where $\mathcal{S}=S_{1} \times \{0,1,2\},$ $S_{1} \subset \mathbb{N},$ $\sharp S_{1} \lt \infty.$