Variational Methods in Imaging

✍ Scribed by Otmar Scherzer, Markus Grasmair, Harald Grossauer, Markus Haltmeier, Frank Lenzen (auth.)

• Book ID: 127453841
• Publisher: Springer
• Year: 2009
• Tongue: English
• Weight: 5 MB
• Edition: 1
• Category: Library
• City: New York, NY
• ISBN: 0387692770
• DOI: 10.1007/978-0-387-69277-7

✦ Synopsis

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.

✦ Subjects

Imaging / Radiology