  Ionization profile monitors (IPMs) are widely used in particle accelerators
for fast evaluation of parameters of high energy beams. Due to the space-charge
effects and several other physical reasons, as well as due to instrumental
effects, the measured IPM profiles differ from the those of the beams.
Empirical mathematical models are commonly used for reconstruction of the
profiles. Here we present proper correction algorithm based on the space-charge
dynamics of the secondaries in IPMs. We also demonstrate efficiency of the beam
size reconstruction from experimentally measured profiles and discuss practical
aspects limiting the IPM accuracy.
