Advances in Discrete Tomography and its Applications by Gabor T. HermanAdvances in Discrete Tomography and its Applications by Gabor T. Herman

Advances in Discrete Tomography and its Applications

byGabor T. HermanEditorAttila Kuba

Hardcover | April 4, 2007

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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.


Title:Advances in Discrete Tomography and its ApplicationsFormat:HardcoverDimensions:392 pagesPublished:April 4, 2007Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0817636145

ISBN - 13:9780817636142

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Table of Contents

ANHA Series PrefacePrefaceList of ContributorsIntroduction / A. Kuba and G.T. HermanPart I. Foundations of Discrete TomographyAn Introduction to Discrete Point X-Rays / P. Dulio, R.J. Gardner, and C. PeriReconstruction of Q-Convex Lattice Sets / S. Brunetti and A. DauratAlgebraic Discrete Tomography / L. Hajdu and R. TijdemanUniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals / E. VallejoConstructing (0, 1)-Matrices with Given Line Sums and Certain Fixed Zeros / R.A. Brualdi and G. DahlReconstruction of Binary Matrices under Adjacency Constraints / S. Brunetti, M.C. Costa, A. Frosini, F. Jarray, and C. PicouleauPart II. Discrete Tomography Reconstruction AlgorithmsDecomposition Algorithms for Reconstructing Discrete Sets with Disjoint Components / P. BalázsNetwork Flow Algorithms for Discrete Tomography / K.J. BatenburgA Convex Programming Algorithm for Noisy Discrete Tomography / T.D. Capricelli and P.L. CombettesVariational Reconstruction with DC-Programming / C. Schnörr, T. Schüle, and S. WeberPart III. Applications of Discrete TomographyDirect Image Reconstruction-Segmentation, as Motivated by Electron Microscopy / Hstau Y. Liao and Gabor T. HermanDiscrete Tomography for Generating Grain Maps of Polycrystals / A. Alpers, L. Rodek, H.F. Poulsen, E. Knudsen, G.T. HermanDiscrete Tomography Methods for Nondestructive Testing / J. Baumann, Z. Kiss, S. Krimmel, A. Kuba, A. Nagy, L. Rodek, B. Schillinger, and J. StephanEmission Discrete Tomography / E. Barcucci, A. Frosini, A. Kuba, A. Nagy, S. Rinaldi, M. Samal, and S. ZopfApplication of a Discrete Tomography Approach to Computerized Tomography / Y. Gerard and F. FeschetIndex

Editorial 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 breadth-foundational material, reconstruction algorithms, and applications. The text's 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 field's 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