A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images (Q709288)
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scientific article; zbMATH DE number 5801192
| Language | Label | Description | Also known as |
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| English | A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images |
scientific article; zbMATH DE number 5801192 |
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A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images (English)
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18 October 2010
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A refined functional analysis for the Radon operator, referring to axisymmetric functions which have strong regularity properties in fractional order Hilbert spaces, is presented. The authors provide a variational approach to solve the problem of tomographic reconstruction in fractional order Hilbert spaces. The existence of solutions and first order necessary conditions for optimality are given.
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Radon operator
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fractional order Hilbert spaces
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minimization
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