Rohit Kumar Mishra

activity

20242026

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4 papers · 1 filter

math.CA2026

Gaussian beam Radon transform for tensor fields in $R^{2}$

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 $R^{2}$ . The operators considered include longi…

math.CA2026

The head-wave transform

Maarten V. de Hoop, Antti KykkÃ¤nen, Rohit Kumar Mishra

We introduce and study a new integral ray transform called the head-wave transform. The head-wave transform integrates a function along a piecewise linear (in general geodesic) pat…

math.CA2025

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 $m \geq 0$ to a linear combination of certain integrals of those fields along two rays emanating from the same vertex.…

math.CA2024

Inversion of generalized V-line transforms of vector fields in $R^{2}$

Rahul Bhardwaj, Rohit Kumar Mishra, Manmohan Vashisth

This article studies the inverse problem of recovering a vector field supported in $D_{R}$ , the disk of radius $R$ centered at the origin, through a set of generalized broke…

Gaussian beam Radon transform for tensor fields in R2

The head-wave transform

Reconstruction of scalar functions and vector fields from weighted V-line transforms with swinging branches

Inversion of generalized V-line transforms of vector fields in R2

Gaussian beam Radon transform for tensor fields in $R^{2}$

Inversion of generalized V-line transforms of vector fields in $R^{2}$