Advances in Discrete Tomography and Its Applications
by
 
Herman, Gabor T. editor.

Title
Advances in Discrete Tomography and Its Applications

Author
Herman, Gabor T. editor.

ISBN
9780817645434

Physical Description
XX, 392 p. 140 illus. online resource.

Series
Applied and Numerical Harmonic Analysis

Contents
Foundations of Discrete Tomography -- An Introduction to Discrete Point X-Rays -- Reconstruction of Q-Convex Lattice Sets -- Algebraic Discrete Tomography -- Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals -- Constructing (0,1)-Matrices with Given Line Sums and Certain Fixed Zeros -- Reconstruction of Binary Matrices under Adjacency Constraints -- Discrete Tomography Reconstruction Algorithms -- Decomposition Algorithms for Reconstructing Discrete Sets with Disjoint Components -- Network Flow Algorithms for Discrete Tomography -- A Convex Programming Algorithm for Noisy Discrete Tomography -- Variational Reconstruction with DC-Programming -- Applications of Discrete Tomography -- Direct Image Reconstruction-Segmentation, as Motivated by Electron Microscopy -- Discrete Tomography for Generating Grain Maps of Polycrystals -- Discrete Tomography Methods for Nondestructive Testing -- Emission Discrete Tomography -- Application of a Discrete Tomography Approach to Computerized Tomography.

Abstract
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 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 state-of-the-art research, methods, and applications. .

Subject Term
Engineering.
 
Computer vision.
 
Fourier analysis.
 
Visualization.
 
Engineering mathematics.
 
Signal, Image and Speech Processing.
 
Image Processing and Computer Vision.
 
Appl.Mathematics/Computational Methods of Engineering.
 
Computer Imaging, Vision, Pattern Recognition and Graphics.

Added Author
Herman, Gabor T.
 
Kuba, Attila.

Added Corporate Author
SpringerLink (Online service)

Electronic Access
http://dx.doi.org/10.1007/978-0-8176-4543-4


LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryE-Book506151-1001TK5102.9Online Springer