67 citations · 166 across the 17 of their papers we have counts for
21 papers
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…
Reconstruction of scalar functions and vector fields from weighted V-line transforms with swinging branches
Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar
Weighted V-line transforms map a symmetric tensor field of order to a linear combination of certain integrals of those fields along two rays emanating from the same vertex.…
Symmetric star transforms and the algebraic geometry of their dual differential operators
Gaik Ambartsoumian, Asher Auel, Mohammad Javad Latifi Jebelli
The star transform is a generalized Radon transform mapping a function on to the function whose value at a point is the integral along a union of rays emanating from…
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…
V-line tensor tomography: numerical results
Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar
This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The a…