Inverse Problems and Imaging: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy September 15–21, 2002

✍ Scribed by Ana Carpio, Oliver Dorn, Miguel Moscoso, Frank Natterer, George C. Papanicolaou, Maria Luisa Rapún, Alessandro Teta (auth.), Luis L. Bonilla (eds.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008
Tongue: English
Leaves: 206
Series: Lecture Notes in Mathematics 1943
Edition: 1
Category: Library

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✦ Synopsis

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

✦ Subjects

Mathematics, general

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