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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000010164752 | QA639.5 A38 2007 | Open Access Book | Book | Searching... |
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Summary
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. 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 include introduction to discrete point X-rays, uniqueness and additivity in discrete tomography, network flow algorithms for discrete tomography, convex programming and variational methods, and 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.
Table of Contents
Preface |
List of Contributors |
IntroductionA. Kuba and G.T. Herman |
Part I| Foundations of Discrete Tomography |
An Introduction to Discrete Point X-RaysP. Dulio and R.J. Gardner and C. Peri |
Reconstruction of Q-Convex Lattice SetsS. Brunetti and A. Daurat |
Algebraic Discrete TomographyL. Hajdu and R. Tijdeman |
Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-MarginalsE. Vallejo |
Constructing (0, 1)-Matrices with Given Line Sums and Certain Fixed ZerosR.A. Brualdi and G. Dahl |
Reconstruction of Binary Matrices under Adjacency ConstraintsS. Brunetti and M.C. Costa and A. Frosini and F. Jarray and C. Picouleau |
Part II Discrete Tomography Reconstruction Algorithms |
Decomposition Algorithms for Reconstructing Discrete Sets with Disjoint ComponentsP. BalÃízs |
Network Flow Algorithms for Discrete TomographyK.J. Batenburg |
A Convex Programming Algorithm for Noisy Discrete TomographyT.D. Capricelli and P.L. |
CombettesVariational Reconstruction with DC-ProgrammingC. Schnörr and T. SchÃ1/4le and S. Weber |
Part III Applications of Discrete Tomography |
Direct Image Reconstruction-Segmentation, as |
Motivated by Electron MicroscopyHstau Y. Liao and Gabor T. Herman |
Discrete Tomography for Generating Grain Maps of PolycrystalsA. Alpers and L. Rodek, H.F. Poulsen and E. Knudsen and G.T. Herman |
Discrete Tomography Methods for Nondestructive TestingJ. Baumann and Z. Kiss and S. Krimmel and A. Kuba and A. Nagy and L. Rodek and B. Schillinger and J. Stephan |
Emission Discrete TomographyE. Barcucci and A. Forsini and A. Kuba and A. Nagy and S. Rinaldi and M. Samal and S. Zopf |
Application of a Discrete Tomography Approach to Computerized TomographyY. Gerard and F. Feschet |
Index |