We address the problem of reconstructing digital images with finitely many grey levels from the knowledge of their X-rays in a given finite set of lattice directions. The main result of the paper provides sets of 2p (p>2) lattice directions which uniquely determine images with p grey levels, contained in a finite lattice grid. This extends previous uniqueness results for binary images.
Brunetti, S., Dulio, P., Peri, C., Uniqueness results for grey scale digital images, <<FUNDAMENTA INFORMATICAE>>, 2019; 2019 (170): 1-18. [doi:10.3233/FI-2019-1850] [http://hdl.handle.net/10807/146129]
Autori: | |
Titolo: | Uniqueness results for grey scale digital images |
Digital Object Identifier (DOI): | http://dx.doi.org/10.3233/FI-2019-1850 |
Data di pubblicazione: | 2019 |
Abstract: | We address the problem of reconstructing digital images with finitely many grey levels from the knowledge of their X-rays in a given finite set of lattice directions. The main result of the paper provides sets of 2p (p>2) lattice directions which uniquely determine images with p grey levels, contained in a finite lattice grid. This extends previous uniqueness results for binary images. |
Lingua: | Inglese |
Rivista: | |
Citazione: | Brunetti, S., Dulio, P., Peri, C., Uniqueness results for grey scale digital images, <<FUNDAMENTA INFORMATICAE>>, 2019; 2019 (170): 1-18. [doi:10.3233/FI-2019-1850] [http://hdl.handle.net/10807/146129] |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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