8 citations · 16 across the 6 of their papers we have counts for
9 papers
PSWF-Radon approach to reconstruction from band-limited Hankel transform
Fedor Goncharov, Mikhail Isaev, Roman Novikov +1
We give new formulas for reconstructions from band-limited Hankel transform of integer or half-integer order. Our formulas rely on the PSWF-Radon approach to super-resolution in mu…
Nonparametric posterior learning for emission tomography with multimodal data
Fedor Goncharov, Éric Barat, Thomas Dautremer
We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are availa…
A geometric based preprocessing for weighted ray transforms with applications in SPECT
Fedor Goncharov
In this work we investigate numerically the reconstruction approach proposed in Goncharov, Novikov, 2016, for weighted ray transforms (weighted Radon transforms along oriented stra…
A breakdown of injectivity for weighted ray transforms in multidimensions
Fedor Goncharov, Roman Novikov
We consider weighted ray-transforms (weighted Radon transforms along straight lines) in with strictly positive weights . We construct an examp…
An example of non-uniqueness for the weighted Radon transforms along hyperplanes in multidimensions
F Goncharov, R Novikov
We consider the weighted Radon transforms along hyperplanes in , with strictly positive weights . We construct…
An example of non-uniqueness for Radon transforms with continuous positive rotation invariant weights
Fedor Goncharov, Roman Novikov
We consider weighted Radon transforms along hyperplanes in with strictly positive weights . We construct an example of such a transform with non-trivial kernel $\mat…
Integrals of spherical harmonics with Fourier exponents in multidimensions
F Goncharov
We consider integrals of spherical harmonics with Fourier exponents on the sphere . Such transforms arise in the framework of the theory of weighted Radon transfo…
An iterative inversion of weighted Radon transforms along hyperplanes
F Goncharov
We propose iterative inversion algorithms for weighted Radon transforms along hyperplanes in . More precisely, expandingthe weight ,…
An analog of Chang inversion formula for weighted Radon transforms in multidimensions
Fedor Goncharov, Roman Novikov
In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for w…