In synthetic display holography the reconstruction of 3D objects that are i
ntersected by the hologram plane are of interest. Some characteristics and
limitations of such a situation are investigated. We concentrate on images
assembled of lines. Certain constraints exist for the calculation of distri
butions to be stored in holograms. Some depend on the properties of the lin
es and others are of a more general character, e.g. the hologram sampling.
The influence of major parameters related to a reconstructed line are analy
sed.