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Electronics --- Electrical engineering --- Gases handling. Fluids handling --- Engineering sciences. Technology --- Computer. Automation --- nanotechniek --- informatica --- wiskunde --- elektronica --- ingenieurswetenschappen --- vloeistoffen
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Partial differential equations --- Mathematical analysis --- Computer science --- differentiaalvergelijkingen --- analyse (wiskunde) --- informatica --- informaticaonderzoek
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Numerical analysis --- Mathematics --- lineaire algebra --- toegepaste wiskunde --- numerieke analyse
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Biomathematics. Biometry. Biostatistics --- Human physiology --- biomathematica --- fysiologie --- biometrie
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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.
Numerical methods of optimisation --- Numerical analysis --- Physical methods for diagnosis --- Computer. Automation --- beeldverwerking --- radiologie --- medische beeldvorming --- kansrekening --- numerieke analyse --- signaalverwerking --- optimalisatie
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Partial differential equations --- Numerical analysis --- Mathematical physics --- Computer. Automation --- differentiaalvergelijkingen --- informatica --- wiskunde --- algoritmen --- fysica --- numerieke analyse
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