منابع مشابه
Discrete tomography of icosahedral model sets.
The discrete tomography of mathematical quasicrystals with icosahedral symmetry is investigated, placing emphasis on reconstruction and uniqueness problems. The work is motivated by the requirement in materials science for the unique reconstruction of the structures of icosahedral quasicrystals from a small number of images produced by quantitative high-resolution transmission electron microscopy.
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We address the problem of uniquely reconstructing F-type icosahedral quasicrystals from few images produced by quantitative high resolution transmission electron microscopy and explain recent results in the discrete tomography of these sets.
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We consider the problem of recognizing arbitrary finite subsets of Z2 by X-rays corresponding to a small set of directions S. We show that if we fix any rectangle A in Z2 then there exists a so called valid set S of four directions (at least when A is not too ”small”) depending only on the size of A such that any two subsets of A can be distinguished, using these directions only. By our approac...
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ژورنال
عنوان ژورنال: Acta Crystallographica Section A Foundations of Crystallography
سال: 2006
ISSN: 0108-7673
DOI: 10.1107/s0108767306030091