Reconstructing singularities of a function from its Radon transform (Q1309771)
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scientific article; zbMATH DE number 474549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstructing singularities of a function from its Radon transform |
scientific article; zbMATH DE number 474549 |
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Reconstructing singularities of a function from its Radon transform (English)
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4 January 1994
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The authors investigate the relation between the singularities of an arbitrary function \(f(x)\) and its Radon transform \(R(f)\). A method for finding the singularities of \(f(x)\) given the singularities of \(R(f)\) is demonstrated. Moreover some numerical aspects of this problem are given. The obtained results are related to a special Legendre transform. Finally, the geometric properties of the singular locus of the Radon transform are studied.
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singularities
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Radon transform
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Legendre transform
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0.9061622
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0.9037513
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0.8871977
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0.8822703
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0.8804698
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0.87875545
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0.87718236
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