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]
Uniqueness results for grey scale digital images
Peri, CPrimo
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.
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