A geometrical characterization of regions of uniqueness and applications to discrete tomography

P Dulio, A Frosini, SMC Pagani - Inverse problems, 2015 - iopscience.iop.org
In the reconstruction problem of discrete tomography, projections are considered from a
finite set ${\mathcal {S}} $ of lattice directions. Employing a limited number of projections …

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 …

Geometrical characterization of the uniqueness regions under special sets of three directions in discrete tomography

P Dulio, A Frosini, SMC Pagani - International Conference on Discrete …, 2016 - Springer
The faithful reconstruction of an unknown object from projections, ie, from measurements of
its density function along a finite set of discrete directions, is a challenging task. Some …

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 …

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 …

[HTML][HTML] Reconstruction of convex polyominoes with a blocking component

S Brocchi, P Dulio, SMC Pagani - Theoretical Computer Science, 2016 - Elsevier
Several papers in the available literature tackled problems concerning convex polyominoes
in discrete tomography. An interesting subclass consists of L-convex polyominoes, since the …

[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 …