Reconstruction of lattice sets from infinite X-rays

Alain Daurat (1)

1 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection

For any infinite non-null vectors there is always a subset of Z2 whose X-rays along fixed directions are the given vectors. If there are only two directions and the vectors are periodic, then the set can be chosen periodic, it's not true with more than two directions.

Mots clés: Discrete Tomography; Infinite Sets; Periodic Sets

Domaines: Mathématique discrète [cs.DM]

Alain Daurat. Reconstruction of lattice sets from infinite X-rays. Denis Richard 60th Birthday Conference, 2002, Clermont-Ferrand, France. ⟨hal-00022837v2⟩