25 citations · 115 across the 31 of their papers we have counts for
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Microlocal analysis of Radon transforms over quadric surfaces
Gaik Ambartsoumian, Raluca Felea, Venkateswaran P. Krishnan +2
We study the microlocal properties of generalized Radon transforms over a family of quadric hypersurfaces whose centers lie on an orientable hypersurface . The quadric surfaces…
A simple range characterization for spherical mean transform in even dimensions
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The paper presents a new and simple range characterization for the spherical mean transform of functions supported in the unit ball in even dimensions. It complements the previous…
On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The spherical mean transform associates to a function its integral averages over all spheres. We consider the spherical mean transform for functions supported in the unit ball…
A simple range characterization for spherical mean transform in odd dimensions and its applications
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
This article provides a novel and simple range description for the spherical mean transform of functions supported in the unit ball of an odd dimensional Euclidean space. The new d…
Image reconstruction from radially incomplete spherical Radon data
Gaik Ambartsoumian, Rim Gouia-Zarrad, Venkateswaran P. Krishnan +1
We study inversion of the spherical Radon transform with centers on a sphere (the data acquisition set). Such inversions are essential in various image reconstruction problems aris…