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Advances in Discrete Tomography and Its Applications Gabor T. Herman

Advances in Discrete Tomography and Its Applications By Gabor T. Herman

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


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Summary

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.

Advances in Discrete Tomography and Its Applications Summary

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

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 includeintroduction to discrete point X-rays,uniqueness and additivity in discrete tomography,network flow algorithms for discrete tomography,convex programming and variational methods, andapplications 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.

Advances in Discrete Tomography and Its Applications Reviews

"This book is strongly recommended for all those who want to work [in] tomography and get solutions of problems in discrete situations." International Journal of Tomography & Statistics

"...The selected contributions are clear and complete. The editors wisely break the text into three sections, all covered with equal depth and breadthfoundational material, reconstruction algorithms, and applications. The texts exercises, exhaustive solutions, and expert remarks also make it a suitable reference for a special topics class. Guided by well-crafted chapter summaries, motivated students and professionals will find the text a welcome handbook and resource. ...Bringing together an enormous amount of theoretical and practical knowledge from DT applications, Advances in Discrete Tomography and Its Applications fulfills its commitment to report on the fields growth. Surely, students, programmers, scientists, and engineers from medicine, industry, and research will find something valuable in this total tomography handbook." Computing in Science & Engineering

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.

Additional information

NPB9780817636142
9780817636142
0817636145
Advances in Discrete Tomography and Its Applications by Gabor T. Herman
New
Hardback
Birkhauser Boston Inc
2007-04-04
392
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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