Por favor, use este identificador para citar o enlazar este ítem: https://repositorio.uca.edu.ar/handle/123456789/17199
Título: Random sampling over locally compact abelian groups and inversion of the radon transform
Autor: Porten, Erika 
Medina, Juan Miguel 
Morvidone, Marcela 
Palabras clave: MUESTREOANALISIS ARMÓNICO ABSTRACTOTRANSFORMACION DE RADONPROCESOS ALEATORIOS
Fecha de publicación: 2023
Editorial: Elsevier
Cita: Porten, E., Medina, J. M., Morvidone, M. Random sampling over locally compact abelian groups and inversion of the radon transform [en línea]. Applied and Computational Harmonic Analysis. 2023, 67. doi: 10.1016/j.acha.2023.101576 . Disponible en: https://repositorio.uca.edu.ar/handle/123456789/17199
Resumen: Abstract: We consider the problem of reconstructing a measurable function over a Locally Compact Abelian group G from random measurements. The results presented herein are partially inspired by the concept of alias-free sampling. Here, the sampling and interpolation operation is modelled as an approximate convolution operator with respect to a stochastic integral defined with an appropriately chosen random measure. In particular, this includes the case where the random sampling points are chosen accordingly to a Poisson random point process. We provide sufficient conditions that guarantee an approximate reconstruction through a sampling process that is similar to alias-free random sampling. These results are applied to the problem of approximating the inverse Radon transform of a function.
URI: https://repositorio.uca.edu.ar/handle/123456789/17199
ISSN: 1063-5203 (impreso)
1096-603X (online)
Disciplina: INGENIERIA
DOI: 10.1016/j.acha.2023.101576
Derechos: Acceso restringido
Fuente: Applied and Computational Harmonic Analysis. Vol. 67, 2023
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