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 : | MUESTREO; ANALISIS ARMÓNICO ABSTRACTO; TRANSFORMACION DE RADON; PROCESOS 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 |
Aparece en las colecciones: | Artículos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | Usuarios registrados haga click en: Login |
---|---|---|---|---|
random-sampling-over-locally.pdf | 651,72 kB | Adobe PDF |
Visualizaciones de página(s)
54
comprobado en 27-abr-2024
Descarga(s)
16
comprobado en 27-abr-2024
Google ScholarTM
Consultar
Altmetric
Este ítem está sujeto a una licencia Creative Commons Licencia Creative Commons