Tomographic reconstruction of 3-D irrotational vector fields via a discretized ray transform

CD Papadaniil, LJ Hadjileontiadis - Journal of Mathematical Imaging and …, 2015 - Springer
In this paper, 3-D vector field tomography (3D-VFT) is employed to reconstruct three-
dimensional, irrotational fields in a bounded cubic domain. A sampling process along the …

[PDF][PDF] Developments towards the tomographic imaging of local crystallographic structures

M Boin - The Open University, Milton Keynes, 2011 - helmholtz-berlin.de
In the present work, the possibilities of a neutron imaging method are comprehensively
investigated. The basic principle of the so-called Bragg edge technique is the transmission …

Full tomographic reconstruction of 2D vector fields using discrete integral data

M Petrou, A Giannakidis - The Computer Journal, 2011 - ieeexplore.ieee.org
Vector field tomography is a field that has received considerable attention in recent decades.
It deals with the problem of the determination of a vector field from non-invasive integral …

Towards an overall 3-D vector field reconstruction via discretization and a linear equations system

CD Papadaniil… - 13th IEEE International …, 2013 - ieeexplore.ieee.org
A tomographic method that efficiently reconstructs three-dimensional fields, despite the ill-
posedness of recovering a vector field from line integrals, is presented in this paper. The …

Overcoming the ill-posedness through discretization in vector tomography: Reconstruction of irrotational vector fields

A Koulouri - arXiv preprint arXiv:1705.00708, 2017 - arxiv.org
Vector tomography methods intend to reconstruct and visualize vector fields in restricted
domains by measuring line integrals of projections of these vector fields. Here, we deal with …

Vector tomography for reconstructing electric fields with non-zero divergence in bounded domains

A Koulouri, M Brookes, V Rimpilaeinen - Journal of Computational Physics, 2017 - Elsevier
In vector tomography (VT), the aim is to reconstruct an unknown multi-dimensional vector
field using line integral data. In the case of a 2-dimensional VT, two types of line integral …

Three-dimensional vector field tomography: extended theory and applications for effective determination of the brain activated states in controls and patients

C Papadaniil - 2016 - didaktorika.gr
This thesis proposes an alternative methodology for solving the inverse EEG problem that,
instead of trying to model the neural sources and the propagation properties of the …