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Spline like function spaces with applications to scattered data approximations

We will develop mathematical methods for scattered data approximation that can be used to implement efficient algorithms in signal processing and related areas. So far, the problem of reconstructing an unknown function from a give... ver más

31/03/2010

UNIVIE

156K€

Presupuesto del proyecto: 156K€

Líder del proyecto

UNIVERSITAT WIEN No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo FP7 notifico la concesión del proyecto el día 2010-03-31 No tenemos la información de la convocatoria

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1 Participantes

UNIVIE

0.00€ | Lider

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Líder del proyecto

UNIVERSITAT WIEN No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 156K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto We will develop mathematical methods for scattered data approximation that can be used to implement efficient algorithms in signal processing and related areas. So far, the problem of reconstructing an unknown function from a given discrete set of sampling points has been studied in shift invariant spaces, i.e. spaces generated by translates of a function (or finitely many functions). We propose to consider the problem in spaces generated by translates of compressed copies of a function (or finitely many functions) along irregularly spaced points. We are convinced that with our model we will obtain better approximation properties, since it takes into account the structure of the sampling data. The problem will be first studied on the real line, then in the plane and finally on the sphere, where the lack of regular grids requires certainly some modifications. Both the functional analytic side and the computational aspects of the problem will be covered. The candidate has experience in the field of the proposed topic, since her research area is time-frequency analysis, frame theory, sampling theory, shift invariant spaces, etc., which constitute the background of this project. She was member of several research projects related to the topic, her master and Ph.D thesis are connected to the proposed research. The project will be carried out at the Numerical Harmonic Analysis Group (NuHAG), University of Vienna, whose key scientists are Prof. H.G. Feichtinger and Prof. K. Gröchenig. The proposed research center has a leading position in the area of sampling theory, time-frequency analysis, frame theory and wavelet analysis, which makes it the proper environment for the proposed project. The experience that NuHAG has in the mentioned areas and also in training researchers will be helpful in the developing of the professional skills of the proposer. The MC Exc. Grant EUCETIFA (2005-2009) and the cooperation with other PostDocs at NuHAG will support the project.

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