Uniqueness results for grey scale digital images

Carla Peri, S Brunetti, P Dulio

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalFundamenta Informaticae
Publication statusPublished - 2019


  • X-ray
  • digital image
  • discrete tomography


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