Inverse Problems and Imaging

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

  • Ana Carpio
  • Oliver Dorn
  • Miguel Moscoso
  • Frank Natterer
  • George C. Papanicolaou
  • Maria Luisa Rapún
  • Alessandro Teta
  • Luis L. Bonilla

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Miguel Moscoso
    Pages 1-16
  3. Frank Natterer
    Pages 17-34
  4. Oliver Dorn, Hugo Bertete-Aguirre, George C. Papanicolaou
    Pages 35-65
  5. Miguel Moscoso
    Pages 67-83
  6. Ana Carpio, Maria Luisa Rapún
    Pages 85-133
  7. Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta
    Pages 171-189
  8. Back Matter
    Pages 191-192

About this book

Introduction

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).

Keywords

X-ray tomography computed tomography (CT) electromagnetic and optical imaging image reconstruction inverse problems topological derivatives

Authors and affiliations

  • Ana Carpio
    • 1
  • Oliver Dorn
    • 2
  • Miguel Moscoso
    • 2
  • Frank Natterer
    • 3
  • George C. Papanicolaou
    • 4
  • Maria Luisa Rapún
    • 5
  • Alessandro Teta
    • 6
  1. 1.Departamento de Matemática Aplicada Facultad de MatemáticasUniversidad Complutense de Madrid28040Spain
  2. 2.Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial MathematicsUniversidad Carlos III de Madrid28911Spain
  3. 3.Institut für Numerische und Angewandte MathematikUniversity of Münster48149Germany
  4. 4.Mathematics DepartmentStanford UniversityStanfordUSA
  5. 5.Departamento de Fundamentos Matemáticos de la Tecnología Aeronáutica Escuela Técnica Superior de Ingenieros AeronáuticosUniversidad Politécnica de Madrid28040Spain
  6. 6.Dipartimento di Matematica Pura e ApplicataUniversità di L'Aquila67100Italy

Editors and affiliations

  • Luis L. Bonilla
    • 1
  1. 1.Gregorio Millán Institute of Fluid Dynamics Nanoscience and Industrial MathematicsUniversidad Carlos III de MadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78547-7
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78545-3
  • Online ISBN 978-3-540-78547-7
  • Series Print ISSN 0075-8434
  • About this book
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