Pub. Date:
Birkh�user Boston
Advances in Discrete Tomography and Its Applications / Edition 1

Advances in Discrete Tomography and Its Applications / Edition 1

by Gabor T. Herman, Attila KubaGabor T. Herman


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The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field.

Three main areas are covered: theoretical results, algorithms, and practical applications. Following an historical and introductory overview of the field, the book explores the various mathematical and computational problems of discrete tomography with an emphasis on new applications.

Product Details

ISBN-13: 9780817636142
Publisher: Birkh�user Boston
Publication date: 04/04/2007
Series: Applied and Numerical Harmonic Analysis
Edition description: 2007
Pages: 392
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

ANHA Series Preface
List of Contributors
Introduction / A. Kuba and G.T. Herman
Part I. Foundations of Discrete Tomography
An Introduction to Discrete Point X-Rays / P. Dulio, R.J. Gardner, and C. Peri
Reconstruction of Q-Convex Lattice Sets / S. Brunetti and A. Daurat
Algebraic Discrete Tomography / L. Hajdu and R. Tijdeman
Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals / E. Vallejo
Constructing (0, 1)-Matrices with Given Line Sums and Certain Fixed Zeros / R.A. Brualdi and G. Dahl
Reconstruction of Binary Matrices under Adjacency Constraints / S. Brunetti, M.C. Costa, A. Frosini, F. Jarray, and C. Picouleau
Part II. Discrete Tomography Reconstruction Algorithms
Decomposition Algorithms for Reconstructing Discrete Sets with Disjoint Components / P. Balázs
Network Flow Algorithms for Discrete Tomography / K.J. Batenburg
A Convex Programming Algorithm for Noisy Discrete Tomography / T.D. Capricelli and P.L. Combettes
Variational Reconstruction with DC-Programming / C. Schnörr, T. Schüle, and S. Weber
Part III. Applications of Discrete Tomography
Direct Image Reconstruction-Segmentation, as Motivated by Electron Microscopy / Hstau Y. Liao and Gabor T. Herman
Discrete Tomography for Generating Grain Maps of Polycrystals / A. Alpers, L. Rodek, H.F. Poulsen, E. Knudsen, G.T. Herman
Discrete Tomography Methods for Nondestructive Testing / J. Baumann, Z. Kiss, S. Krimmel, A. Kuba, A. Nagy, L. Rodek, B. Schillinger, and J. Stephan
Emission Discrete Tomography / E. Barcucci, A. Frosini, A. Kuba, A. Nagy, S. Rinaldi, M. Samal, and S. Zopf
Application of a Discrete Tomography Approach to Computerized Tomography / Y. Gerard and F. Feschet

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