Advances in Discrete Tomography and Its Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Herman, Gabor T. (Editor), Kuba, Attila (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Engineering.; Computer graphics.; Image processing.; Fourier analysis.; Mathematics.; Visualization.; Applied mathematics.; 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.; Fourier Analysis.

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, engine...

Table of 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.