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- W2094883455 abstract "Local or lambda tomography reconstructs Λƒ which has the same discontinuities as the searched-for density distribution ƒ. Computing Λƒ, however, requires only local tomographic measurements. Local tomography is usually implemented by a filtered backprojection algorithm (FBA). In the present article we design reconstruction filters for the FBA such that Λ2m+1ƒ will be reconstructed for a given m∈ℕ0. Moreover, we prove convergence and convergence rates for the FBA as the discretization step size goes to zero. To this end we express the FBA in the framework of approximate inverse. Based on our analysis we further propose a scheme which yields a proper scaling of the reconstruction filters. Numerical experiments illustrate the analytic results. Copyright © 2000 John Wiley & Sons, Ltd." @default.
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- W2094883455 date "2000-01-01" @default.
- W2094883455 modified "2023-09-27" @default.
- W2094883455 title "Approximate inverse meets local tomography" @default.
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- W2094883455 doi "https://doi.org/10.1002/1099-1476(200010)23:15<1373::aid-mma170>3.0.co;2-a" @default.
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