F. Goncharov

activity

20162024

most citedAn iterative inversion of weighted Radon transforms along hyperplanes

8 citations · 16 across the 6 of their papers we have counts for

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2 papers · 1 filter

math-ph2017

An example of non-uniqueness for Radon transforms with continuous positive rotation invariant weights

Fedor Goncharov, Roman Novikov

We consider weighted Radon transforms $R_{W}$ along hyperplanes in $R^{3}$ with strictly positive weights $W$ . We construct an example of such a transform with non-trivial kernel $\mat…

math-ph2016★ 8 cited

An iterative inversion of weighted Radon transforms along hyperplanes

F Goncharov

We propose iterative inversion algorithms for weighted Radon transforms $R_{W}$ along hyperplanes in $R^{3}$ . More precisely, expandingthe weight $W = W (x, θ), x \in R^{3}, θ \in S^{2}$ ,…