Advances in Discrete Tomography and Its ApplicationsGabor T. Herman, Attila Kuba 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 selfcontained chapters, written by leading mathematicians, engineers, and computer scientists, present cuttingedge 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 Xrays * 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 stateoftheart research, methods, and applications.

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Contents
1  
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 
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Advances in Discrete Tomography and Its Applications Gabor T. Herman,Attila Kuba No preview available  2007 