The generalized Radon transform on the plane, the inverse transform, and the Cavalieri conditions (Q5959524)
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scientific article; zbMATH DE number 1729072
| Language | Label | Description | Also known as |
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| English | The generalized Radon transform on the plane, the inverse transform, and the Cavalieri conditions |
scientific article; zbMATH DE number 1729072 |
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The generalized Radon transform on the plane, the inverse transform, and the Cavalieri conditions (English)
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3 June 2002
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The generalized Radon transform on the plane maps each function supported in a disk to the values of that function over a family of curves. In this paper the author assumes that the curves differ only slightly from straight lines and the network formed by these curves has the same topological structure as the network of straight lines. Then, the generalized Radon transform induces a function on the set of straight lines. The author proves an inversion formula and indicates a Cavalieri condition.
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generalized Radon transform
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inversion formulas
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Cavalieri conditions
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