Buch, Englisch, Band 47, 412 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 784 g
Reihe: Mathematical Sciences Research Institute Publications
Buch, Englisch, Band 47, 412 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 784 g
Reihe: Mathematical Sciences Research Institute Publications
ISBN: 978-0-521-82469-9
Verlag: Cambridge University Press
Inverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. In the last twenty years or so there have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning
- Naturwissenschaften Physik Elektromagnetismus Mikroskopie, Spektroskopie
Weitere Infos & Material
Preface; 1. Introduction to the mathematics of computed tomography Adel Faridani; 2. The attenuated X-ray transform: recent developments David Finch; 3. Inverse acoustic and electromagnetic scattering theory David Colton; 4. Inverse problems in transport theory Plamen Stefanov; 5. Near-field tomography P. Scott Carney and John C. Schotland; 6. Inverse problems for time harmonic electrodynamics Petri Ola, Lassi Paivarinta and Erkki Somersalo; 7. Microlocal anaysis of the X-ray transform with sources on a curve, David Finch, Ih-Ren Lan and Gunther Uhlmann; 8. Microlocal analysis of seismic inverse scattering Maarten V. De Hoop; 9. Sojourn times, singularities of the scattering kernal and inverse problems Vesselin Petkov and Luchezar Stoyanov; 10. Geometry and analysis in many-body scattering Andras Vasy; 11. A mathematical and determinalistic analysis of the time-reversal mirror Claude Bardos.
