Description
BIRKHAUSER BOSTON INC Advances In Discrete Tomography And Its Applications by Gabor T. Herman
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._x000D__x000D__x000D_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._x000D_ _x000D_
ANHA Series Preface_x000D_
Preface_x000D_
List of Contributors_x000D_
Introduction / A. Kuba and G.T. Herman_x000D_
Part I. Foundations of Discrete Tomography_x000D_
An Introduction to Discrete Point X-Rays / P. Dulio, R.J. Gardner, and C. Peri_x000D_
Reconstruction of Q-Convex Lattice Sets / S. Brunetti and A. Daurat_x000D_
Algebraic Discrete Tomography / L. Hajdu and R. Tijdeman_x000D_
Uniqueness and Additivity for n-Dimensional Binary Matrices with Respect to Their 1-Marginals / E. Vallejo_x000D_
Constructing (0, 1)-Matrices with Given Line Sums and Certain Fixed Zeros / R.A. Brualdi and G. Dahl_x000D_
Reconstruction of Binary Matrices under Adjacency Constraints / S. Brunetti, M.C. Costa, A. Frosini, F. Jarray, and C. Picouleau_x000D_
Part II. Discrete Tomography Reconstruction Algorithms_x000D_
Decomposition Algorithms for Reconstructing Discrete Sets with Disjoint Components / P. Balazs_x000D_
Network Flow Algorithms for Discrete Tomography / K.J. Batenburg_x000D_
A Convex Programming Algorithm for Noisy Discrete Tomography / T.D. Capricelli and P.L. Combettes_x000D_
Variational Reconstruction with DC-Programming / C. Schnoerr, T. Schule, and S. Weber_x000D_
Part III. Applications of Discrete Tomography_x000D_
Direct Image Reconstruction-Segmentation, as Motivated by Electron Microscopy / Hstau Y. Liao and Gabor T. Herman_x000D_
Discrete Tomography for Generating Grain Maps of Polycrystals / A. Alpers, L. Rodek, H.F. Poulsen, E. Knudsen, G.T. Herman_x000D_
Discrete Tomography Methods for Nondestructive Testing / J. Baumann, Z. Kiss, S. Krimmel, A. Kuba, A. Nagy, L. Rodek, B. Schillinger, and J. Stephan_x000D_
Emission Discrete Tomography / E. Barcucci, A. Frosini, A. Kuba, A. Nagy, S. Rinaldi, M. Samal, and S. Zopf_x000D_
Application of a Discrete Tomography Approach to Computerized Tomography / Y. Gerard and F. Feschet_x000D_
Index_x000D_