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Beschreibung
This book is about inverse problems. A classical example of such an inverse problem is computerized tomography (CT), where one attempts to recover an image of, say, the human brain from measured x-ray intensities. Such measurements will in general be noisy, but even very little noise can have a severe impact on the quality of the reconstructed images. To overcome these difficulties regularization methods have been developed, which stabilize the reconstruction process. We study here one such method, known as Tikhonov-regularization, and prove general regularizing properties as well as rates on the speed of the convergence.
Regularization properties and rates of convergence
Details
| Verlag | Südwestdeutscher Verlag für Hochschulschriften |
| Ersterscheinung | 03. April 2012 |
| Maße | 22 cm x 15 cm x 0.9 cm |
| Gewicht | 221 Gramm |
| Format | Softcover |
| ISBN-13 | 9783838131351 |
| Seiten | 136 |
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