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 ≥ 3) 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. (2020). Uniqueness results for grey scale digital images. FUNDAMENTA INFORMATICAE, 172(1), 221-238 [10.3233/FI-2020-1902].
Uniqueness results for grey scale digital images
Brunetti S.
;
2020-01-01
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 ≥ 3) lattice directions which uniquely determine images with p grey levels, contained in a finite lattice grid. This extends previous uniqueness results for binary images.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1115520