Gritzmann, Peter; matematični kolokvij februar 2001

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Discrete Tomography

Peter Gritzmann

Tehniška univerza v Münchnu, Nemčija

15. februar 2001

The talk deals with various theoretical and algorithmic aspects of inverse problems in discrete tomography that are primarily motivated by demands from material sciences for the reconstruction of crystalline structures from images produced by quantitative high resolution transmission electron microscopy. Special emphasis is placed on the question of when finite lattice sets are uniquely determined by their discrete X-rays in a given number of directions, on the description of successful algorithmic approaches in the presence of NP-completeness and on problems induced by the ill-posedness of the task.

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