Boundary ghosts for discrete tomography

M Ceko, T Petersen, I Svalbe, R Tijdeman - Journal of Mathematical …, 2021 - Springer
Discrete tomography reconstructs an image of an object on a grid from its discrete
projections along relatively few directions. When the resulting system of linear equations is …

[PDF][PDF] Discrete projection: highly correlated arrays and ghosts for image reconstruction

MS CEKO - 2021 - scholar.archive.org
Whenever measurements of a physical system are made, the quantization implicit in all
detection processes forces us to consider a discretisation of the problem. Hence it is …

Error Correction for Discrete Tomography

M Ceko, L Hajdu, R Tijdeman - Fundamenta Informaticae, 2023 - journals.sagepub.com
Discrete tomography focuses on the reconstruction of functions from their line sums in a
finite number d of directions. In this paper we consider functions f: A→ R where A is a finite …

Three-Dimensional Maximal and Boundary Ghosts

M Ceko, R Tijdeman - Journal of Mathematical Imaging and Vision, 2021 - Springer
In discrete tomography, ghosts represent indeterminate locations of a reconstruction when
there is insufficient projection information to admit a unique solution. Our previous work …

A linear time approach to three-dimensional reconstruction by discrete tomography

M Ceko, S Pagani, R Tijdeman - arXiv preprint arXiv:2010.05868, 2020 - arxiv.org
The goal of discrete tomography is to reconstruct an unknown function $ f $ via a given set of
line sums. In addition to requiring accurate reconstructions, it is favourable to be able to …