Applied and Numerical Harmonic Analysis

Discrete Tomography

Foundations, Algorithms, and Applications

Editors: Herman, Gabor T., Kuba, Attila (Eds.)

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About this book

The visualization, construction, and reconstruction of multidimensional images are of intense interest in science and engineering today, and discrete tomography—which deals with the special case in which the object to be reconstructed has a small number of possible values—offers some significant new analytical and computational tools.

Discrete Tomography: Foundations, Algorithms, and Applications provides a critical survey of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The survey chapters, written by leading international authorities, are self-contained adn present the latest research and results in the field. The book covers three main areas: important theoretical results, available algorithms to utilize for reconstruction, and key applications where new results are indicative of greater utility. Following a thorough historical overview of the field, the book provides a journey through the various mathematical and computational problems of discrete tomography. This is followed by a section on numerous algorithmic techniques that can be used to achieve real reconstructions from image projections.

Topics and Features:

* historical overview and summary chapter

* uniqueness and complexity in discrete tomography

* probabilistic modeling  of discrete images

* binary tomography using Gibb priors

* discrete tomography on the 3-D torus and crystals

* binary steering

* 3-D tomographic reconstruction from sparse radiographic data

* symbolic projections

The book is an essential resource for the latest developments and tools in discrete tomography. Professionals, researchers, and practitioners in mathematics, computer imaging, scientific visualization, computer engineering, and multidimensional image processing will find the book an authoritative guide and reference to current research, methods, and applications.

 

Reviews

"This book is the first book on discrete tomography. The editors have collected very aptly papers representing all possible directions in discrete tomography. For anyone entering the area of discrete tomography [the book] is a must as it is comprehensive and covers all major aspects of this field."   —International Journal of Tomography & Statistics

Table of contents (21 chapters)

  • Discrete Tomography: A Historical Overview

    Kuba, Attila (et al.)

    Pages 3-34

  • Sets of Uniqueness and Additivity in Integer Lattices

    Fishburn, Peter C. (et al.)

    Pages 35-58

  • Tomographic Equivalence and Switching Operations

    Kong, T. Yung (et al.)

    Pages 59-84

  • Uniqueness and Complexity in Discrete Tomography

    Gardner, Richard J. (et al.)

    Pages 85-113

  • Reconstruction of Plane Figures from Two Projections

    Kaneko, Akira (et al.)

    Pages 115-135

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4612-1568-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-8176-4101-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4612-7196-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Discrete Tomography
Book Subtitle
Foundations, Algorithms, and Applications
Editors
  • Gabor T. Herman
  • Attila Kuba
Series Title
Applied and Numerical Harmonic Analysis
Copyright
1999
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1568-4
DOI
10.1007/978-1-4612-1568-4
Hardcover ISBN
978-0-8176-4101-6
Softcover ISBN
978-1-4612-7196-3
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXII, 479
Topics