E-Book Overview
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 medicineProfessionals, 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.
E-Book Content
Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland Editorial Advisory Board Akram Aldroubi Vanderbilt University
Douglas Cochran Arizona State University
Ingrid Daubechies Princeton University
Hans G. Feichtinger University of Vienna
Christopher Heil Georgia Institute of Technology
Murat Kunt Swiss Federal Institute of Technology, Lausanne
James McClellan Georgia Institute of Technology
Wim Sweldens Lucent Technologies, Bell Laboratories
Michael Unser Swiss Federal Institute of Technology, Lausanne
Martin Vetterli Swiss Federal Instit