A note on singular value decomposition for Radon transform in \(R^n\) (Q701558)
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scientific article; zbMATH DE number 1824201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on singular value decomposition for Radon transform in \(R^n\) |
scientific article; zbMATH DE number 1824201 |
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A note on singular value decomposition for Radon transform in \(R^n\) (English)
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26 November 2002
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Simple techniques are developed for the construction of a singular value decomposition for the Radon transform in \(\mathbb{R}^n\) by means of the projection-slice theorem. The range of the Radon transform is spanned by products of Gegenbauer polynomials and harmonics. The authors also give an inversion formula by series expansion and range characterizations.
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singular value decomposition
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Radon transform
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projection-slice theorem
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Gegenbauer polynomials and harmonics
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inversion formula
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