X-rays characterizing some classes of discrete sets (Q5955122)
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scientific article; zbMATH DE number 1703192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | X-rays characterizing some classes of discrete sets |
scientific article; zbMATH DE number 1703192 |
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X-rays characterizing some classes of discrete sets (English)
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29 September 2002
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The authors analyse the cases, where from the X-rays in horizontal, vertical and two other directions it is possible or not to reconstruct a three-dimensional structure. Subject to specific conditions on the X-rays directions, the authors point out a conjecture saying that there is a great number of convex polyominoes (i.e., discrete sets which are convex with respect to the vertical direction) having the same horizontal and vertical X-rays.
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computational geometry
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discrete tomography
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three-dimensional structure
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reconstruction
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Radon transform
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X-rays
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convex polyominoes
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