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• W1992019499 startingPage "1909" @default.
• W1992019499 abstract "The approximate inverse is a scheme to obtain stable numerical inversion formulae for linear operator equations of the first kind. Yet, in some applications the computation of a crucial ingredient, the reconstruction kernel, is time-consuming and instable. It may even happen that the kernel does not exist for a particular semidiscrete system. To cure this dilemma we propose and analyze a technique that is based on a singular value decomposition of the underlying operator. The results are applied to the reconstruction problem in 2D-computerized tomography where they enable the design of reconstruction filters and lead to a novel error analysis of the filtered backprojection algorithm." @default.
• W1992019499 created "2016-06-24" @default.
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• W1992019499 date "2000-01-01" @default.
• W1992019499 modified "2023-10-14" @default.
• W1992019499 title "The Approximate Inverse in Action with an Application to Computerized Tomography" @default.
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• W1992019499 doi "https://doi.org/10.1137/s0036142998347619" @default.
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