8 citations · 8 across the 3 of their papers we have counts for
10 papers
A sparsity-based nonlinear reconstruction method for two-photon photoacoustic tomography
Madhu Gupta, Rohit Kumar Mishra, Souvik Roy
We present a new nonlinear optimization approach for the sparse reconstruction of single-photon absorption and two-photon absorption coefficients in photoacoustic tomography (PAT).…
Injectivity and range description of first integral moment transforms over -tensor fields in
Rohit Kumar Mishra, Suman Kumar Sahoo
In this work, we prove a new decomposition result for rank symmetric tensor fields which generalizes the well known solenoidal and potential decomposition of tensor fields. Thi…
Generalized V-line transforms in 2D vector tomography
Gaik Ambartsoumian, Mohammad Javad Latifi Jebelli, Rohit Kumar Mishra
We study the inverse problem of recovering a vector field in from a set of new generalized -line transforms in three different ways. First, we introduce the longi…
Determining the time dependent matrix potential in a wave equation from partial boundary data
Rohit Kumar Mishra, Manmohan Vashisth
We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge o…
Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in
Rohit Kumar Mishra
We show that a vector field in can be reconstructed uniquely from the knowledge of restricted Doppler and first integral moment transforms. The line complex we consi…
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature
Rohit Kumar Mishra, François Monard
For a one-parameter family of simple metrics of constant curvature ( for ) on the unit disk , we first make explicit the Pestov-Uhlmann range characterization o…