Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions
Numerical Analysis
2023-11-20 v2 Numerical Analysis
Mathematical Physics
math.MP
Abstract
The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector field from five different types of data sets, with and without noise. We examine the performance of the proposed algorithms in a variety of setups, and illustrate our results with numerical simulations on different phantoms.
Cite
@article{arxiv.2305.08975,
title = {Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions},
author = {Gaik Ambartsoumian and Mohammad Javad Latifi Jebelli and Rohit Kumar Mishra},
journal= {arXiv preprint arXiv:2305.08975},
year = {2023}
}
Comments
38 pages