In this work we develop a new optimization algorithm for image reconstruction problems from Fourier data with uncertainties on the spatial frequencies corresponding to the measured data. By considering such dependency on the frequencies as a further unknown, we obtain a so-called semi-blind deconvolution. Both the image and the spatial frequencies are obtained as solutions of a reformulated constrained optimization problem, approached by an alternating scheme. Numerical tests on simulated data, based on the imaging hardware of the NASA RHESSI satellite, show that the proposed approach provides some improvements in the reconstruction.

An image reconstruction method from Fourier data with uncertainties on the spatial frequencies / Cornelio, Anastasia; Bonettini, Silvia; Prato, Marco. - (2013). ((Intervento presentato al convegno 3rd International Workshop on New Computational Methods for Inverse Problems tenutosi a Cachan nel 22 maggio 2013.

An image reconstruction method from Fourier data with uncertainties on the spatial frequencies

CORNELIO, ANASTASIA;BONETTINI, Silvia;PRATO, Marco
2013

Abstract

In this work we develop a new optimization algorithm for image reconstruction problems from Fourier data with uncertainties on the spatial frequencies corresponding to the measured data. By considering such dependency on the frequencies as a further unknown, we obtain a so-called semi-blind deconvolution. Both the image and the spatial frequencies are obtained as solutions of a reformulated constrained optimization problem, approached by an alternating scheme. Numerical tests on simulated data, based on the imaging hardware of the NASA RHESSI satellite, show that the proposed approach provides some improvements in the reconstruction.
2013
3rd International Workshop on New Computational Methods for Inverse Problems
Cachan
22 maggio 2013
Cornelio, Anastasia; Bonettini, Silvia; Prato, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/948293
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