Advances in Discrete Tomography and Its Applications

"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

• 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.