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Regularization methods for ill-posed poisson imaging: Theoretical justification for various regularization schemes and numerical methods for astronomical image reconstruction - Softcover
Synopsis
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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About the Author
Dr. N’Djekornom Dara Laobeul holds a PhD. in computational mathematics from the University of Montana. He was assistant at the University Of N’Djamena (CHAD) before he moved to the University of Montana where he currently teaches. His research interests include image reconstruction and correlation analysis. He has published several articles.
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Regularization methods for ill-posed poisson imaging
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ISBN 10: 3639701453
ISBN 13: 9783639701456
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 120 pp. Englisch. Seller Inventory # 9783639701456
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Regularization Methods for Ill-Posed Poisson Imaging
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Regularization Methods for Ill-Posed Poisson Imaging
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
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ISBN 13: 9783639701456
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Regularization methods for ill-posed poisson imaging : Theoretical justification for various regularization schemes and numerical methods for astronomical image reconstruction
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783639701456
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Regularization Methods for Ill-Posed Poisson Imaging
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
ISBN 10: 3639701453
ISBN 13: 9783639701456
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Regularization methods for ill-posed poisson imaging
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Regularization methods for ill-posed poisson imaging
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ISBN 10: 3639701453
ISBN 13: 9783639701456
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.OmniScriptum SRL, Str. Armeneasca 28/1, office 1, 2012 Chisinau 120 pp. Englisch. Seller Inventory # 9783639701456
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Regularization methods for ill-posed poisson imaging | Theoretical justification for various regularization schemes and numerical methods for astronomical image reconstruction
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Taschenbuch. Condition: Neu. Regularization methods for ill-posed poisson imaging | Theoretical justification for various regularization schemes and numerical methods for astronomical image reconstruction | N'Djekornom Dara | Taschenbuch | 120 S. | Englisch | 2014 | Scholars' Press | EAN 9783639701456 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 105455981