The effect of object spatial truncation on self-imaging formation is i
nvestigated in the general case, resulting in the definition of a 3D s
elf-imaging condition. Particular attention is paid to periodic object
s for which a link between the self-imaging distance and the optimal 2
D tiling is demonstrated. We deduce the resulting minimum number of pe
riods required to observe self-imaging. An experimental illustration i
s presented in a simple case and the theoretical values compared to ex
perimental results.