Discrete Tomography: Foundations, Algorithms and Applications (Applied and Numerical Harmonic Analysis) - Hardcover

Herman, Gabor T.; Kuba, Attila

Hardcover

ISBN 10: 3764341017 ISBN 13: 9783764341015

Publisher: Birkhauser Verlag AG, 1999

Synopsis

This work provides a critical survey of new methods, algorithms, and select applications that are the foundations of multidimensional image analysis, construction, and reconstruction. It offers a resource and guide to the latest developments in the field of discrete tomography.

About this title

Review

"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

From the Back Cover

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.

 

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 1999
• Language: English
• ISBN 10: 3764341017
• ISBN 13: 9783764341015
• Binding: Hardcover
• Number of pages: 488