Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions
Source
arXiv
Date Issued
2023-05-01
Author(s)
Ambartsoumian, Gaik
Jebelli, Mohammad Javad Latifi
Mishra, Rohit Kumar
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.
Subjects
Inversion schemes
V-line transforms
Vector field
Vector star transform
Phantom
