Advances in Discrete Tomography and Its Applications

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Gabor T. Herman, Attila Kuba
Springer Science & Business Media, Jan 19, 2008 - Technology & Engineering - 392 pages
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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.

 

 

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Contents

Richard J Gardner
1
Thomas David Capricelli
6
An Introduction to Discrete Point XRays
19
Algebraic Discrete Tomography
55
Uniqueness and Additivity for nDimensional Binary
82
Richard A Brualdi
113
Discrete Tomography Reconstruction Algorithms
151
Network Flow Algorithms for Discrete Tomography
175
Variational Reconstruction with DCProgramming
227
Hstau Y Liao
245
Discrete Tomography for Generating Grain Maps
271
MarieChristine Costa
292
Discrete Tomography Methods for Nondestructive Testing
303
Fethy Jarraycnam
331
Emission Discrete Tomography
332
Application of a Discrete Tomography Approach
367

Jürgen Stephan
204
A Convex Programming Algorithm for Noisy
206

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About the author (2008)

Department of Radiology, Medical Image Processing Group, Philadelphia, Pennsylvania.

Kuba, Jozsef Attial University, Szeged, Hungary.