4 papers
Rigidity for formally determined point source scattering for an anisotropic acoustic medium
Pradipta Chatterjee, Rakesh, Abhilash Tushir
Consider an acoustic medium, occupying three dimensional space, whose anisotropic sound speed is modeled by a Riemannian metric which is Euclidean outside a compact region . The…
A constructive approach to range characterization of spherical mean transform in odd dimensions
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
This work focuses on range characterization of spherical mean transform (SMT) in odd-dimension Euclidean space. In a recent work, a simpler description characterizing the range of…
A Unified Range Characterization for the Spherical mean transform
Pradipta Chatterjee, Nisha Singhal, Abhilash Tushir
In this article, we investigate the range characterization for the spherical mean transform (SMT) of functions supported in the unit ball. In earlier works, in the case of odd dime…
Explicit inversion of spherical Radon transforms in odd dimensions with partial radial data
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
We derive an explicit inversion algorithm for the spherical Radon transform in odd dimensions with partial radial data. We prove that the reconstruction of the unknown function can…