Applied and Numerical Harmonic Analysis

Advances in Discrete Tomography and Its Applications

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

  • Covers theoretical results, algorithms, and practical applications
  • Explores various mathematical and computational problems of discrete tomography with an emphasis on new applications
  • Provides a useful guide and reference to state-of-the-art research, methods, and applications
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eBook $189.00
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  • ISBN 978-0-8176-4543-4
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-0-8176-3614-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

 

Reviews

"This book is strongly recommended for all those who want to work [in] tomography and get solutions of problems in discrete situations."   —International Journal of Tomography & Statistics

"...The selected contributions are clear and complete. The editors wisely break the text into three sections, all covered with equal depth and breadth—foundational material, reconstruction algorithms, and applications. The text’s exercises, exhaustive solutions, and expert remarks also make it a suitable reference for a special topics class. Guided by well-crafted chapter summaries, motivated students and professionals will find the text a welcome handbook and resource. ...Bringing together an enormous amount of theoretical and practical knowledge from DT applications, Advances in Discrete Tomography and Its Applications fulfills its commitment to report on the field’s growth. Surely, students, programmers, scientists, and engineers from medicine, industry, and research will find something valuable in this total tomography handbook."  —Computing in Science & Engineering


Table of contents (16 chapters)

  • Introduction

    Kuba, A. (et al.)

    Pages 1-16

  • An Introduction to Discrete Point X-Rays

    Dulio, P. (et al.)

    Pages 19-30

  • Reconstruction of Q-Convex Lattice Sets

    Brunetti, S. (et al.)

    Pages 31-54

  • Algebraic Discrete Tomography

    Hajdu, L. (et al.)

    Pages 55-81

  • Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals

    Vallejo, E.

    Pages 83-110

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-0-8176-4543-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-0-8176-3614-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Discrete Tomography and Its Applications
Editors
  • Gabor T. Herman
  • Attila Kuba
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4543-4
DOI
10.1007/978-0-8176-4543-4
Hardcover ISBN
978-0-8176-3614-2
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XX, 392
Number of Illustrations and Tables
140 b/w illustrations
Topics