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