6 citations · 9 across the 5 of their papers we have counts for
5 papers
Artefact Analysis of Multistatic Three-Dimensional SAR Imaging with Two Linear Trajectories
Daniel Andre, Venky P. Krishnan, Clifford Nolan
In recent years, radar technology has seen much improvement, making multistatic Synthetic Aperture Radar (SAR) sensing a realistic possibility, for example in satellite constellati…
Ray transform on Sobolev spaces of symmetric tensor fields, II: Range characterization
Venky P. Krishnan, Vladimir A. Sharafutdinov
The ray transform integrates symmetric -tensor field in over lines. This transform in Sobolev spaces was studied in our earlier work where higher order Reshet…
Ray transform on Sobolev spaces of symmetric tensor fields, I: Higher order Reshetnyak formulas
Venky P. Krishnan, Vladimir A. Sharafutdinov
For an integer , we prove the th order Reshetnyak formula for the ray transform of rank symmetric tensor fields on . Certain differential operators $A^{…
Microlocal aspects of bistatic synthetic aperture radar imaging
Venky P. Krishnan, Eric Todd Quinto
In this article, we analyze the microlocal properties of the linearized forward scattering operator and the reconstruction operator appearing in bistatic synthetic ape…
A support theorem for the geodesic ray transform of symmetric tensor fields
Venky Krishnan, Plamen Stefanov
Let be a simple Riemannian manifold with boundary and consider the geodesic ray transform of symmetric 2-tensor fields. Let the integral of along maximal geodesics vani…