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Solution of mathematical problems in computerized tomography - MaRDI portal

Solution of mathematical problems in computerized tomography (Q1088604)

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scientific article; zbMATH DE number 3991310
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English
Solution of mathematical problems in computerized tomography
scientific article; zbMATH DE number 3991310

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    Solution of mathematical problems in computerized tomography (English)
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    1986
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    Fundamental mathematical problems of computational diagnostics are formulated for X-ray computerized tomography with a monoenergetic source and linear propagation of the radiation in the object being diagnosed. These problems are reduced to integral equations of the first kind, such as convolutions. A method of local regularization for the construction of approximate solutions is presented, specifying the role of mathematical modeling of tomographs.
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    computational diagnostics
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    X-ray computerized tomography
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    monoenergetic source
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    linear propagation
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    integral equations of the first kind
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    local regularization
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    construction of approximate solutions
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