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

Ambartsoumian, GaikGaikAmbartsoumianLatifi Jebelli, Mohammad J.Mohammad J.Latifi JebelliMishra, Rohit K.Rohit K.Mishra2025-08-312025-08-312024-01-0110.1137/23M15731122-s2.0-85192809151http://repository.iitgn.ac.in/handle/IITG2025/29242The 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.falsebroken ray | generalized Radon | longitudinal | transverse | V-line | vector tomorgarphyNumerical Implementation of Generalized V-Line Transforms on 2D Vector Fields and their InversionsArticle19364954595-63120245arJournal6