Regularization methods for ill-posed poisson imaging

Name: Regularization methods for ill-posed poisson imaging
Brand: Scholars' Press
SKU: 9783639701456
Price: 187.58 RON
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Autor: N'Djekornom Dara

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Editura: Scholars' Press

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The noise contained in images collected by a charge coupled device (CCD) camera is predominantly of...

Informații despre carte

Autor

N'Djekornom Dara

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

120

EAN

9783639701456

ISBN

3639701453

Enbook ID

06917084

Editura

Scholars' Press

Greutate

186

Dimensiuni

152 x 229 x 7

Descriere completă

The noise contained in images collected by a charge coupled device (CCD) camera is predominantly of Poisson type. This motivates the use of the negative logarithm of the Poisson likelihood in place of the ubiquitous least squares fit-to-data. However, if the underlying mathematical model is assumed to have the form z = Au, where A is a linear, compact operator, the problem of minimizing the negative log-Poisson likelihood function is ill-posed, and hence some form of regularization is required. This work involves solving a variational problem: minimizing the sum of the negative log Poisson likelihood and a regularizing functional. The main result of this book is a theoretical analysis of this variational problem for various regularization functionals. In addition, this work presents an efficient computational method for its solution, and the demonstration of the effectiveness of this approach in practice by applying the algorithm to simulated astronomical imaging data corrupted by the CCD camera noise model mentioned above.

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Regularization methods for ill-posed poisson imaging

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