5 papers
Gaussian beam Radon transform for tensor fields in
Rohit Kumar Mishra, Souvik Roy, Indrani Zamindar
In this article, we introduce and study a set of generalized Gaussian beam Radon transforms (GbRt) acting on tensor fields in . The operators considered include longi…
Reconstruction of scalar functions and vector fields from weighted V-line transforms with swinging branches
Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar
Weighted V-line transforms map a symmetric tensor field of order to a linear combination of certain integrals of those fields along two rays emanating from the same vertex.…
Tensor tomography using V-line transforms with vertices restricted to a circle
Rohit Kumar Mishra, Anamika Purohit, Indrani Zamindar
In this article, we study the problem of recovering symmetric -tensor fields (including vector fields) supported in a unit disk from a set of generalized V-line tra…
V-line tensor tomography: numerical results
Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar
This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The a…
V-line 2-tensor tomography in the plane
Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar
In this article, we introduce and study various V-line transforms (VLTs) defined on symmetric 2-tensor fields in . The operators of interest include the longitudinal,…