Variational Methods in Imaging

• Κύριοι συγγραφείς: Scherzer, Otmar (Συγγραφέας), Grasmair, Markus (Συγγραφέας), Grossauer, Harald (Συγγραφέας), Haltmeier, Markus (Συγγραφέας), Lenzen, Frank (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Applied Mathematical Sciences, 167
• Θέματα: Mathematics.; Radiology.; Image processing.; Numerical analysis.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Image Processing and Computer Vision.; Signal, Image and Speech Processing.; Numerical Analysis.; Imaging / Radiology.

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...

Πίνακας περιεχομένων:

• 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.