Variational methods in imaging

This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Key Features: - Introduces variational methods with motivation from the deterministic, geometric, a...

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Autors principals: Scherzer, Otmar, 1964-, Grasmair, Markus (Autor), Grossauer, Harald (Autor), Haltmeier, Markus (Autor), Lenzen, Frank (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: New York, NY : Springer New York [20..].
Cham : Springer Nature
Col·lecció:Applied Mathematical Sciences 167
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Nota: Description d'après consultation du 06 juillet 2011
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Edition sous un autre format:• Variational methods in imaging, Otmar Scherzer, Markus Grasmair, Harald Grossauer... [et al.], New York, Springer, 2009, 1 vol. (XIII-320 p.), Applied mathematical sciences, 978-0-387-30931-6
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505 1 |a Fundamentals of Imaging Case Examples of Imaging Image and Noise Models Regularization Variational Regularization Methods for the Solution of Inverse Problems Convex Regularization Methods for Denoising Variational Calculus for Non-convex Regularization Semi-group Theory and Scale Spaces Inverse Scale Spaces Mathematical Foundations Functional Analysis Weakly Differentiable Functions Convex Analysis and Calculus of Variations 
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520 |a This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Key Features: - Introduces variational methods with motivation from the deterministic, geometric, and stochastic point of view - Bridges the gap between regularization theory in image analysis and in inverse problems - Presents case examples in imaging to illustrate the use of variational methods e.g. denoising, thermoacoustics, computerized tomography - Discusses link between non-convex calculus of variations, morphological analysis, and level set methods - Analyses variational methods containing classical analysis of variational methods, modern analysis such as G-norm properties, and non-convex calculus of variations - Uses numerical examples to enhance the theory This book is geared towards graduate students and researchers in applied mathematics. It can serve as a main text for graduate courses in image processing and inverse problems or as a supplemental text for courses on regularization. Researchers and computer scientists in the area of imaging science will also find this book useful 
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700 1 |a Lenzen, Frank.  |4 aut 
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