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Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion. (English) Zbl 1131.65104
The computerized tomography is a reconstruction of the function \(f(x)\) from its integrals along straight lines. The Radon transform is used in this procedure. The authors present the modified backprojection algorithm and prove its convergence and formulas of error approximation in the space \(L^{2}(\Omega)\).

MSC:
65R10 Numerical methods for integral transforms
44A12 Radon transform
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