Explicit determination of bounded non-additive sets of uniqueness for four X-rays

摘要

An algorithm is presented which constructs bounded non-additive sets uniquely determined by discrete parallel X-rays taken along prescribed lattice directions. Examples in dimension n = 3 and n = 3 are given, and related remarks are also provided. 2000 Mathematics Subject Classification. Primary 05D05; Secondary 05A17; 11P81.