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Inverse Problems and Imaging

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002

  • Book
  • © 2008

Overview

Authors:
  1. Ana Carpio

    1. Departamento de Matemática Aplicada Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Spain

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  2. Oliver Dorn

    1. Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911, Spain

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  3. Miguel Moscoso

    1. Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911, Spain

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  4. Frank Natterer

    1. Institut für Numerische und Angewandte Mathematik, University of Münster, 48149, Germany

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  5. George C. Papanicolaou

    1. Mathematics Department, Stanford University, Stanford, USA

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  6. Maria Luisa Rapún

    1. Departamento de Fundamentos Matemáticos de la Tecnología Aeronáutica Escuela Técnica Superior de Ingenieros Aeronáuticos, Universidad Politécnica de Madrid, 28040, Spain

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  7. Alessandro Teta

    1. Dipartimento di Matematica Pura e Applicata, Università di L'Aquila, 67100, Italy

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Editors:
  1. Luis L. Bonilla

    1. Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, Spain

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1943)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction to Image Reconstruction

    • Miguel Moscoso
    Pages 1-16

  3. X-ray Tomography

    • Frank Natterer
    Pages 17-34

  4. Adjoint Fields and Sensitivities for 3D Electromagnetic Imaging in Isotropic and Anisotropic Media

    • Oliver Dorn, Hugo Bertete-Aguirre, George C. Papanicolaou
    Pages 35-65

  5. Polarization-Based Optical Imaging

    • Miguel Moscoso
    Pages 67-83

  6. Topological Derivatives for Shape Reconstruction

    • Ana Carpio, Maria Luisa Rapún
    Pages 85-133

  7. Time-Reversal and the Adjoint Imaging Method with an Application in Telecommunication

    • Oliver Dorn
    Pages 135-170

  8. A Brief Review on Point Interactions

    • Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta
    Pages 171-189

  9. Back Matter

    Pages 191-192
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Keywords

About this book

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.

Authors, Editors and Affiliations

  • Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, Spain

    Luis L. Bonilla

  • Departamento de Matemática Aplicada Facultad de Matemáticas, Universidad Complutense de Madrid, 28040, Spain

    Ana Carpio

  • Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911, Spain

    Oliver Dorn, Miguel Moscoso

  • Institut für Numerische und Angewandte Mathematik, University of Münster, 48149, Germany

    Frank Natterer

  • Mathematics Department, Stanford University, Stanford, USA

    George C. Papanicolaou

  • Departamento de Fundamentos Matemáticos de la Tecnología Aeronáutica Escuela Técnica Superior de Ingenieros Aeronáuticos, Universidad Politécnica de Madrid, 28040, Spain

    Maria Luisa Rapún

  • Dipartimento di Matematica Pura e Applicata, Università di L'Aquila, 67100, Italy

    Alessandro Teta

Bibliographic Information

  • Book Title: Inverse Problems and Imaging

  • Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002

  • Authors: Ana Carpio, Oliver Dorn, Miguel Moscoso, Frank Natterer, George C. Papanicolaou, Maria Luisa Rapún, Alessandro Teta

  • Editors: Luis L. Bonilla

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-78547-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • Softcover ISBN: 978-3-540-78545-3Published: 18 April 2008

  • eBook ISBN: 978-3-540-78547-7Published: 19 June 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 200

  • Topics: Mathematics, general

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