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Titlebook: Discrete Tomography; Foundations, Algorit Gabor T. Herman,Attila Kuba Book 1999 Springer Science+Business Media New York 1999 3-D torus.bay

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Reconstruction of Plane Figures from Two Projectionsimation. For this purpose, we introduce the notion of type 1 modification against nonuniquely reconstructed figures, and a kind of weight function to classify them. Many interesting open problems remain concerning theoretical justification of proposed algorithms for nonunique cases.
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Probabilistic Modeling of Discrete Imageses in that the formulation is suited for the modeling of discrete images, and hence readily applicable to discrete tomography problems. Second, the distribution is “image-modeling” in the sense that random samples drawn from the distribution are likely to share important characteristics of the image
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Multiscale Bayesian Methods for Discrete Tomographyptimization to find that reconstruction. Multiscale models have succeeded in improving representation of structure of varying scale in imagery, a chronic problem for common Markov random fields. This chapter shows that associated multiscale methods of optimization also avoid local minima of the log
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An Algebraic Solution for Discrete Tomography It has applications in X-ray crystallography, in which the projections are the number of atoms in the crystal along a given line,and nondestructive testing. The 2D version of this problem is fairly well understood, and several algorithms for solving it are known, most of which involve discrete math
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