531 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Wrocław University of Science and TechnologyPL16 papers
- AGH University of KrakowPL6 papers
- University of SzczecinPL6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Tampere UniversityFI4 papers
- Heidelberg UniversityDE3 papers
- Institut de Chimie et Procédés pour l'Energie, l'Environnement et la SantéFR3 papers
- Institut de ChimieFR2 papers
- Institute of PsychologyPL2 papers
- Kirchhoff (Germany)DE2 papers
- Rensselaer Polytechnic InstituteUS2 papers
- Université de StrasbourgFR2 papers
11 papers · 1 filter
Uncertainty product of the spherical Gauss-Weierstrass wavelet
Ilona Iglewska-Nowak
In this paper, asymptotic behavior of the uncertainty product of Gauss-Weierstrass wavelet is investigated. It is shown that the uncertainty product is bounded from above, a featur…
A continuous spherical wavelet transform for~
Ilona Iglewska-Nowak
In the present paper, a wavelet family over the -dimensional sphere is constructed such that for each scale the wavelet is a polynomial and the inverse wavelet transform of a co…
On the uncertainty product of spherical functions
Ilona Iglewska-Nowak
The uncertainty product of a function is a quantity that measures the trade-off between the space and the frequency localization of the function. Its boundedness from below is the…
Uncertainty product of spherical wavelets
Ilona Iglewska-Nowak
In the paper, asymptotic behavior of the uncertainty product for a family of zonal spherical wavelets is computed. The family contains the most popular wavelets, such as Gauss-Weie…
Uncertainty of Poisson wavelets
Ilona Iglewska-Nowak
Poisson wavelets are a powerful tool in analysis of spherical signals. In order to have a deeper characterization of them, we compute their uncertainty product, a quantity introduc…
Angular multiselectivity with spherical wavelets
Ilona Iglewska-Nowak
We construct spherical wavelets based on approximate identities that are directional, i.e. not rotation-invariant, and have an adaptive angular selectivity. The problem of how to f…
Multiresolution on n-dimensional spheres
Ilona Iglewska-Nowak
In the present paper, multiscale systems of polynomial wavelets on an n-dimensional sphere are constructed. Scaling functions and wavelets are investigated,and their reproducing an…
Directional wavelets on -dimensional spheres
Ilona Iglewska-Nowak
Directional Poisson wavelets, being directional derivatives of Poisson kernel, are introduced on -dimensional spheres. It is shown that, slightly modified and together with anot…
Semi-continuous and discrete wavelet frames on -dimensional spheres
Ilona Iglewska-Nowak
The paper shows that under some mild conditions -dimensional spherical wavelets derived from approximate identities build semi-continuous frames. Moreover, for sufficiently dens…
Poisson wavelets on -dimensional spheres
Ilona Iglewska-Nowak
In this paper, Poisson wavelets on -dimensional spheres, derived from Poisson kernel, are introduced and characterized. We compute their Gegenbauer expansion with respect to the…
Frames of directional wavelets on -dimensional spheres
Ilona Iglewska-Nowak
The major goal of the paper is to prove that discrete frames of (directional) wavelets derived from an approximate identity exist. Additionally, a kind of energy conservation prope…