The paper is concerned with the uniqueness of the Maximum a Posteriori estimate for restoration problems of data corrupted by Poisson noise, when we have to minimize a combination of the generalized Kullback-Leibler divergence and a regularization penalty function. The aim of this paper is to prove the uniqueness result for 2D and 3D problems for several penalty functions, such as an edge preserving functional, a simple case of the class of Markov Random Field (MRF) regularization functionals and the classical Tikhonov regularization.

On the Uniqueness of the Solution of Image Reconstruction Problems with Poisson Data / Bonettini, S.; Ruggiero, V.. - 1281:(2010), pp. 1803-1806. (Intervento presentato al convegno ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics tenutosi a Rodi nel 19-25 settembre 2010) [10.1063/1.3498239].

On the Uniqueness of the Solution of Image Reconstruction Problems with Poisson Data

Bonettini S.
;
2010

Abstract

The paper is concerned with the uniqueness of the Maximum a Posteriori estimate for restoration problems of data corrupted by Poisson noise, when we have to minimize a combination of the generalized Kullback-Leibler divergence and a regularization penalty function. The aim of this paper is to prove the uniqueness result for 2D and 3D problems for several penalty functions, such as an edge preserving functional, a simple case of the class of Markov Random Field (MRF) regularization functionals and the classical Tikhonov regularization.
2010
ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics
Rodi
19-25 settembre 2010
1281
1803
1806
Bonettini, S.; Ruggiero, V.
On the Uniqueness of the Solution of Image Reconstruction Problems with Poisson Data / Bonettini, S.; Ruggiero, V.. - 1281:(2010), pp. 1803-1806. (Intervento presentato al convegno ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics tenutosi a Rodi nel 19-25 settembre 2010) [10.1063/1.3498239].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1147523
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