5 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
Momentum ray transforms
Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1
The momentum ray transform integrates a rank symmetric tensor field over lines with the weight : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^k\langle f(x+tξ),ξ^m\ran…
Microlocal analysis of a restricted ray transform on symmetric -tensor fields in
Venkateswaran P. Krishnan, Rohit Kumar Mishra
We study the microlocal inversion of the ray transform on symmetric -tensor fields restricted to all lines passing through a curve in . From this incomplete data…
On solenoidal-injective and injective ray transforms of tensor fields on surfaces
Venkateswaran P. Krishnan, Rohit Kumar Mishra, François Monard
We first give a constructive answer to the attenuated tensor tomography problem on simple surfaces. We then use this result to propose two approaches to produce vector-valued integ…
A fully non-linear optimization approach to acousto-electric tomography
B. J. Adesokan, Kim Knudsen, Venkateswaran P. Krishnan +1
This paper considers the non-linear inverse problem of reconstructing an electric conductivity distribution from the interior power density in a bounded domain. Applications includ…