Null space and resolution in dynamic computerized tomography (Q2794612)
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scientific article; zbMATH DE number 6553833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Null space and resolution in dynamic computerized tomography |
scientific article; zbMATH DE number 6553833 |
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Null space and resolution in dynamic computerized tomography (English)
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10 March 2016
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singular value decomposition
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null space
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resolution
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dynamic computerized tomography
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numerical example
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0.87603796
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0.85995483
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0.84076244
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0.8398525
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The paper attempts to address the inconsistency caused by the dynamic data acquisition in computerized tomography to the image objects. It studies the resolution properties in the dynamic setting with two-dimensional affined deformations. The singular value decomposition together with a consistency condition yields a characterization of the null space in case of finitely many projections. The resolution properties are also analyzed and a numerical example is presented to illustrate the loss in resolution. Several theorems are stated and proved.
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