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About this book
Goals of the Book Overthelast thirty yearsthere has been arevolutionindiagnostic radiology as a result oftheemergenceofcomputerized tomography (CT), which is the process of obtaining the density distribution within the human body from multiple x-ray projections. Since an enormous variety of possible density values may occur in the body, a large number of projections are necessary to ensure the accurate reconstruction oftheir distribution. There are other situations in which we desire to reconstruct an object from its projections, but in which we know that the object to be recon structed has only a small number of possible values. For example, a large fraction of objects scanned in industrial CT (for the purpose of nonde structive testing or reverse engineering) are made of a single material and so the ideal reconstruction should contain only two values: zero for air and the value associated with the material composing the object. Similar as sumptions may even be made for some specific medical applications; for example, in angiography ofthe heart chambers the value is either zero (in dicating the absence of dye) or the value associated with the dye in the chamber. Another example arises in the electron microscopy of biological macromolecules, where we may assume that the object to be reconstructed is composed of ice, protein, and RNA. One can also apply electron mi croscopy to determine the presenceor absence ofatoms in crystallinestruc tures, which is again a two-valued situation.
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Keywords
- 3-D torus
- bayesian methods
- binary tomography
- computer imaging
- diffuse planar tomography
- discrete images
- electron microscopy
- image processing
- image projections
- multidimensional image processing
- multidimensional images
- nonbinary iterative algorithms
- orthogonal projections
- radiographic data
- symbolic projections
Table of contents (21 chapters)
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Front Matter
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Foundations
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Front Matter
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Algorithms
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Front Matter
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Applications
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Front Matter
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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
Editors and Affiliations
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
DOI: https://doi.org/10.1007/978-1-4612-1568-4
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Hardcover ISBN: 978-0-8176-4101-6Published: 01 November 1999
Softcover ISBN: 978-1-4612-7196-3Published: 09 October 2012
eBook ISBN: 978-1-4612-1568-4Published: 06 December 2012
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XXII, 479
Topics: Imaging / Radiology, Image Processing and Computer Vision, Signal, Image and Speech Processing, Math Applications in Computer Science, Discrete Mathematics in Computer Science, Computer Imaging, Vision, Pattern Recognition and Graphics