  We present a non-parametric, model-independent method to reconstruct the
spherical density profiles of void stacks in real space, without redshift-space
distortions. Our method uses the expected spherical symmetry of stacked voids
to build the shape of the spherical density profile of cosmic voids in real
space without any assumption about the cosmological model. We test the
reconstruction algorithm with both a toy model and a full dark matter
simulation. We present the result for the simulation: the reconstruction of the
spherical density profile for a simulated stacked void in real space. We also
present a first application of the algorithm to reconstruct real cosmic void
stacks density profiles in real space from the Sloan Digital Sky Survey (Sutter
et al. 2012b). We discuss capabilities of the algorithm and possible future
improvements. Reconstructed density profiles from real voids open the way to
the study of the spherically averaged dynamical structure of voids.
