5 papers
Radon Transform over Tensor Fields: Injectivity, Range, and Unique Continuation Principle
Rohit Kumar Mishra, Chandni Thakkar
A central objective in inverse problems arising in integral geometry is to understand the kernel characterization, inversion formulas, stability estimates, range characterization,…
Inversion of generalized Radon transform over symmetric -tensor fields in
Anuj Abhishek, Rohit Kumar Mishra, Chandni Thakkar
In this work, we study a set of generalized Radon transforms over symmetric -tensor fields in . The longitudinal/transversal Radon transform and corresponding weig…
Microlocal inversion of a restricted mixed ray transform for second-order tensor fields in
Chandni Thakkar
In this article, we study a restricted mixed ray transform acting on second-order tensor fields in 3-dimensional Euclidean space and prove the invertibility of this integral transf…
Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in
Rohit Kumar Mishra, Suman Kumar Sahoo, Chandni Thakkar
In this article, we study various aspects of the mixed ray transform of -tensor fields that are symmetric in its first and last indices. As a first result, w…
Inversion of a restricted transverse ray transform with sources on a curve
Rohit Kumar Mishra, Chandni Thakkar
In this paper, a restricted transverse ray transform acting on vector and symmetric -tensor fields is studied. We developed inversion algorithms using restricted transverse ray…