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20132023
most citedAnalysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions

9 citations · 38 across the 18 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.CA2015

Diagonalization of the Finite Hilbert Transform on two adjacent intervals

Alexander Katsevich, Alexander Tovbis

We study the interior problem of tomography. The starting point is the Gelfand-Graev formula, which converts the tomographic data into the finite Hilbert transform (FHT) of an unkn…

math.CA2015★ 9 cited

Stability estimates for the regularized inversion of the truncated Hilbert transform

Rima Alaifari, Michel Defrise, Alexander Katsevich

In limited data computerized tomography, the 2D or 3D problem can be reduced to a family of 1D problems using the differentiated backprojection (DBP) method. Each 1D problem consis…