  Strain-inducing deformations in graphene alter charge distributions and
provide a new method to design specific features in the band structure and
transport properties. Novel approaches implement engineered substrates to
induce specifically targeted strain profiles. Motivated by this technique, we
study the evolution of charge distributions with an increasing number of
out-of-plane deformations as an example of a finite size periodic substrate. We
first analyze a system of two overlapping deformations and determine the
quantitative relation between geometrical parameters and features in the local
density of states. We extend the study to sets of 3 and 4 deformations in
linear and two-dimensional arrays and observe the emergence of moir\'e patterns
that are more pronounced for a hexagonal cell composed of 7 deformations. A
comparison between the induced strain profile and spatial maps of the local
density of states at different energies provides evidence for the existence of
states confined by the pseudo-magnetic field in bounded regions, reminiscent of
quantum dots structures. Due to the presence of these states, the energy level
scaling to be observed by local probes should exhibit a linear dependence with
the pseudo-field, in contrast to the expected scaling of pseudo-Landau levels.
