Introduction to Inverse Problems in Imaging

1. Auflage 1998
ISBN: 978-0-7503-0435-1
Verlag: Taylor & Francis Ltd

Buch, Englisch, 352 Seiten, Format (B × H): 156 mm x 233 mm, Gewicht: 617 g

This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercised throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Bertero, M. (University of Genova, Italy)

Bertero, M.

Boccacci, P. (University of Genova, Italy)

Boccacci, P.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Angewandte Optik
• Naturwissenschaften Physik Elektromagnetismus Optik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Introduction. Part 1 Image deconvolution: Some mathematical tools. Examples of image blurring. The ill-posedness of image deconvolution. Regularization methods. Iterative regularization methods. Statistical methods. Part 2 Linear inverse imaging problems: Examples of linear inverse problems. Singular value decomposition (SVD). Inversion methods revisited. Fourier based methods for specific problems. Comments and concluding remarks. Part 3 Mathematical appendices. References.