We measured the absolute cross sections for photon electro-production off the proton, ep --> ep gamma, with the high resolution spectrometers at MAMI at momentum transfer q = 600 MeV/c and photon polarization epsilon = 0.62. We covered the momentum range for the outgoing real photon q' = 33 divided by 111 MeV/c. From the extracted Virtual Compton Scattering amplitude we deduce values for two structure functions related to the generalized polarizabilities of the proton.