Ana Carpio, Oliver Dorn, Miguel Moscoso, Frank Natterer, George C. Papanicolaou, Maria Luisa Rapún, Alessandro Teta (auth.), Luis L. Bonilla (eds.)3540785450, 9783540785453
Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes – computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics: a general presentation and introduction (Moscoso), X-ray tomography (Natterer), Electromagnetic imaging (Dorn, Bertete-Aguirre, Papanicolaou), coherent imaging in telecommunications in a multiple input-multiple output setup (Dorn), polarization based optical imaging (Moscoso), topological derivatives used in shape reconstruction related to inverse scattering problems (Carpio, Rapún), Point interactions (Dell’Antonio, Figari, Teta).
Table of contents :
Front Matter….Pages i-xi
Introduction to Image Reconstruction….Pages 1-16
X-ray Tomography….Pages 17-34
Adjoint Fields and Sensitivities for 3D Electromagnetic Imaging in Isotropic and Anisotropic Media….Pages 35-65
Polarization-Based Optical Imaging….Pages 67-83
Topological Derivatives for Shape Reconstruction….Pages 85-133
Time-Reversal and the Adjoint Imaging Method with an Application in Telecommunication….Pages 135-170
A Brief Review on Point Interactions….Pages 171-189
Back Matter….Pages 191-192
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