Inverse scattering theory is used to determine local, energy-independent, coordinate space nucleon-nucleon potentials. Inversions are made of phase shifts obtained by analyses of data and from meson exchange theory, in particular the Paris and the Bonn parametrizations. Half-off-shell {ital T} matrices are generated to compare the exact meson theoretical results with those of inversion, and it is found that phase equivalent interactions have essentially the same off-shell behavior for any physically significant range of momenta.