Further steps on the reconstruction of convex polyominoes from orthogonal projections

P Dulio, A Frosini, S Rinaldi, L Tarsissi… - Journal of Combinatorial …, 2022 - Springer
A remarkable family of discrete sets which has recently attracted the attention of the discrete
geometry community is the family of convex polyominoes, that are the discrete counterpart of …

Regions of uniqueness quickly reconstructed by three directions in discrete tomography

P Dulio, SMC Pagani, A Frosini - Fundamenta Informaticae, 2017 - journals.sagepub.com
In discrete tomographic image reconstruction, projections are taken along a finite set S of
valid directions for a working grid 𝒜. In general, uniqueness cannot be achieved in the …

Algorithms for linear time reconstruction by discrete tomography II

M Ceko, SMC Pagani, R Tijdeman - Discrete Applied Mathematics, 2021 - Elsevier
The reconstruction of an unknown function f from its line sums is the aim of discrete
tomography. However, two main aspects prevent reconstruction from being an easy task. In …

[HTML][HTML] Algorithms for linear time reconstruction by discrete tomography

SMC Pagani, R Tijdeman - Discrete Applied Mathematics, 2019 - Elsevier
We present an algorithm that for any given rectangular grid A∈ Z 2 and set of directions D
computes in linear time the values of any function f: A→ R outside the convex hull of the …

[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 …

Local uniqueness under two directions in discrete tomography: A graph-theoretical approach

SMC Pagani - Mathematical Morphology and Its Applications to …, 2019 - Springer
The goal of discrete tomography is to reconstruct an image, seen as a finite set of pixels, by
knowing its projections along given directions. Uniqueness of reconstruction cannot be …

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 …

[PDF][PDF] Ti deman

M Ceko, SMC Pagani - 2021 - scholarlypublications …
The reconstruction of an unknown function f from its line sums is the aim of discrete
tomography. However, two main aspects prevent reconstruction from being an easy task. In …

[PDF][PDF] Curriculum Vitae Europass

C Italiana, S Maschile - Lingua, 2003 - simtipro.it
Coordinamento attività del Laboratorio di Immunoematologia Eritrocitaria e Piastrinica di I e
II livello: qualificazione immunoematologica di donatori di emocomponenti nel Polo di …