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Advances in Discrete Tomography and Its Applications

  • Gabor T. Herman
  • Attila Kuba

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Foundations of Discrete Tomography

    1. Front Matter
      Pages 19-152
    2. A. Kuba, G.T. Herman
      Pages 1-16
    3. P. Dulio, R.J. Gardner, C. Peri
      Pages 19-30
    4. S. Brunetti, A. Daurat
      Pages 31-54
    5. L. Hajdu, R. Tijdeman
      Pages 55-81
    6. S. Brunetti, M.C. Costa, A. Frosini, F. Jarray, C. Picouleau
      Pages 125-150
  3. Discrete Tomography Reconstruction Algorithms

    1. Front Matter
      Pages 1-2
    2. T.D. Capricelli, P.L. Combettes
      Pages 207-226
    3. C. Schnörr, T. Schüle, S. Weber
      Pages 227-243
  4. Applications of Discrete Tomography

    1. Front Matter
      Pages 1-2
    2. A. Alpers, L. Rodek, H.F. Poulsen, E. Knudsen, G.T. Herman
      Pages 271-301
    3. J. Baumann, Z. Kiss, S. Krimmel, A. Kuba, A. Nagy, L. Rodek et al.
      Pages 303-331
    4. E. Barcucci, A. Frosini, A. Kuba, A. Nagy, S. Rinaldi, M. Šámal et al.
      Pages 333-366
  5. Back Matter
    Pages 387-392

About this book

Introduction

Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods. The self-contained chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field.

Three main areas are covered: foundations, algorithms, and practical applications. Following an introduction that reports the recent literature of the field, the book explores various mathematical and computational problems of discrete tomography including new applications.

Topics and Features:

* introduction to discrete point X-rays

* uniqueness and additivity in discrete tomography

* network flow algorithms for discrete tomography

* convex programming and variational methods

* applications to electron microscopy, materials science, nondestructive testing, and diagnostic medicine

Professionals, researchers, practitioners, and students in mathematics, computer imaging, biomedical imaging, computer science, and image processing will find the book to be a useful guide and reference to state-of-the-art research, methods, and applications.

 

Keywords

3-D tomographic reconstruction algorithms computer imaging convex programming diagnostic medicine discrete point X-rays discrete tomography electron microscopy image processing linear optimization multidimensional image reconstruction network flow algorithms nondestructive testing

Editors and affiliations

  • Gabor T. Herman
    • 1
  • Attila Kuba
    • 2
  1. 1.Program in Computer Science The Graduate CenterThe City University of New YorkNew YorkUSA
  2. 2.Department of Image Processing and Computer GraphicsUniversity of SzegedSzegedHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4543-4
  • Copyright Information Birkhäuser Boston 2007
  • Publisher Name Birkhäuser Boston
  • eBook Packages Engineering
  • Print ISBN 978-0-8176-3614-2
  • Online ISBN 978-0-8176-4543-4
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site