Skip to main content
  • Book
  • © 2008

Inverse Problems and Imaging

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

Editors:

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)

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
  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. A Brief Review on Point Interactions

    • Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta
    Pages 171-189
  8. Back Matter

    Pages 191-192

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.

Keywords

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

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

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions