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Approximate inverse meets local tomography. (English) Zbl 0966.65109
Design reconstruction filters for the filtered backprojection algorithm (FBA) are presented. The convergence and convergence rates for the FBA as the discretization step size goes to zero is proved. The FBA is also expressed by the approximate inverse. A scheme which yields a proper scaling of the reconstruction filters is proposed. The analytical theory is supported by numerical experiments.

MSC:
65R20 Numerical methods for integral equations
44A12 Radon transform
92C55 Biomedical imaging and signal processing
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