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 …

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 …

Cognitive brain signal processing: Healthy vs Alzheimer's disease patients

V Kosmidou, A Tsolaki, C Papadaniil, M Tsolaki… - Universal Access in …, 2014 - Springer
Processing the brain functionality during certain perceptual stimuli or activities is beneficial
to better understanding the lost abilities of a mind of a patient with cognitive impairment …

Age effect in human brain responses to emotion arousing images: The EEG 3D-vector field tomography modeling approach

CD Papadaniil, VE Kosmidou… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
Understanding of the brain responses to emotional stimulation remains a great challenge.
Studies on the aging effect in neural activation report controversial results. In this paper …

GEOMETRICALLY FLEXIBLE AND EFFICIENT NUMERICAL SOLUTION TECHNIQUE FOR BRAGG EDGE NEUTRON TRANSMISSION STRAIN TOMOGRAPHY

R Aggarwal - Bulletin of the Australian Mathematical Society, 2021 - cambridge.org
Neutron transmission spectroscopy on a pulsed source is a radiography technique that
exploits characteristic cross-section energy-variations for element-specific imaging. The …

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 …

Improved 2D vector field estimation using probabilistic weights

A Giannakidis, M Petrou - JOSA A, 2011 - opg.optica.org
We consider the application of tomography to the reconstruction of two-dimensional vector
fields. The most practical sensor configuration in such problems is the regular positioning …

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 …

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 …