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Inverse Problems in Medical Imaging and Nondestructive Testing

Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4–10, 1996

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. Heinz W. Engl

    1. Institut für Mathematik, Johannes-Kepler-Universität, Linz, Austria

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  2. Alfred K. Louis

    1. Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Federal Republic of Germany

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  3. William Rundell

    1. Department of Mathematics, Texas A & M University, College Station, USA

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  • The reader gets an insight in a modern field of scientific computing with applications formerly not presented in such a form leading from the basics to the actual research activities

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Table of contents (14 papers)

  1. Front Matter

    Pages i-vii
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  2. Three-Dimensional Super-Resolving Confocal Scanning Laser Fluorescent Microscopy

    • Ibrahim Akduman, Jan Grochmalicki, Roy Pike
    Pages 1-6

  3. Wavelets and Waves in Optical Signal Preprocessing

    • Th. Beth, A. Klappenecker, M. Schmid, D. Zerfowski
    Pages 7-16

  4. Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction

    • Barbara Blaschke-Kaltenbacher, Heinz W. Engl
    Pages 17-35

  5. Qualitative Methods in Inverse Scattering Theory

    • David L. Colton
    Pages 36-42

  6. Recovery of Blocky Images in Electrical Impedance Tomography

    • David C. Dobson
    Pages 43-64

  7. Impedance Imaging and Electrode Models

    • Seppo Järvenpää, Erkki Somersalo
    Pages 65-74

  8. Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data

    • Rainer Kress, William Rundell
    Pages 75-92

  9. Applied Inversion in Nondestructive Testing

    • K. J. Langenberg, M. Brandfaβ, S. Klaholz, R. Marklein, K. Mayer, A. Pitsch et al.
    Pages 93-119

  10. Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography

    • A. K. Louis
    Pages 120-133

  11. Wavelet-Accelerated Tikhonov-Phillips Regularization with Applications

    • Peter Maaß, Andreas Rieder
    Pages 134-158

  12. An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency

    • Frank Natterer
    Pages 159-167

  13. Gradient and Newton-Kantorovich Methods for Microwave Tomography

    • Christian Pichot, Pierre Lobel, Laure Blanc-Féraud, Michel Barlaud, Kamal Belkebir, Jean-Manuel Elissalt et al.
    Pages 168-187

  14. Boundary Modelling in Electrical Impedance Tomography

    • Michael Pidcock, Sorin Ciulli, Simona Ispas
    Pages 188-195

  15. Lavrentiev’s Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms

    • Robert Plato
    Pages 196-211

  16. Back Matter

    Pages 212-216
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Keywords

About this book

14 contributions present mathematical models for different imaging techniques in medicine and nondestructive testing. The underlying mathematical models are presented in a way that also newcomers in the field have a chance to understand the relation between the special applications and the mathematics needed for successfully treating these problems. The reader gets an insight into a modern field of scientific computing with applications formerly not presented in such form, leading from the basics to actual research activities.

Reviews

"... The articles are well written and the book is carefully edited, giving a well balanced survey of the most recent developments in this modern and important field of scientific computing." Internationale Mathematische Nachrichten 12/2001

Editors and Affiliations

  • Institut für Mathematik, Johannes-Kepler-Universität, Linz, Austria

    Heinz W. Engl

  • Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Federal Republic of Germany

    Alfred K. Louis

  • Department of Mathematics, Texas A & M University, College Station, USA

    William Rundell

Bibliographic Information

  • Book Title: Inverse Problems in Medical Imaging and Nondestructive Testing

  • Book Subtitle: Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4–10, 1996

  • Editors: Heinz W. Engl, Alfred K. Louis, William Rundell

  • DOI: https://doi.org/10.1007/978-3-7091-6521-8

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 1997

  • Softcover ISBN: 978-3-211-83015-4Published: 09 June 1997

  • eBook ISBN: 978-3-7091-6521-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 211

  • Number of Illustrations: 44 b/w illustrations

  • Topics: Imaging / Radiology, Analysis, Physiological, Cellular and Medical Topics, Computational Intelligence

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