Numerical Implementation of Generalized V-Line Transforms on 2D Vector Fields and their Inversions

Abstract

SIAM Journal on Imaging Sciences, Volume 17, Issue 1, Page 595-631, March 2024.
Abstract.The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [G. Ambartsoumian, M. J. Latifi, and R. K. Mishra, Inverse Problems, 36 (2020), 104002]. 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.