Mishra, Rohit KumarRohit KumarMishraPurohit, AnamikaAnamikaPurohitZamindar, IndraniIndraniZamindar2025-08-312025-08-312025-02-0110.1007/s13324-025-01014-42-s2.0-85218226595https://d8.irins.org/handle/IITG2025/28264In this article, we study the problem of recovering symmetric m-tensor fields (including vector fields) supported in a unit disk D from a set of generalized V-line transforms, namely longitudinal, transverse, and mixed V-line transforms, and their integral moments. We work in a circular geometric setup, where the V-lines have vertices on a circle, and the axis of symmetry is orthogonal to the circle. We present two approaches to recover a symmetric m-tensor field from the combination of longitudinal, transverse, and mixed V-line transforms. With the help of these inversion results, we are able to give an explicit kernel description for these transforms. We also derive inversion algorithms to reconstruct a symmetric m-tensor field from its first (m+1) integral moment longitudinal/transverse V-line transforms.falseIntegral moments | Inverse problems | Inversion algorithms | Tensor tomography | V-line transformArticle1664235XFebruary 2025123arJournal1WOS:001410943600001