  Nowadays, copy detection patterns (CDP) appear as a very promising
anti-counterfeiting technology for physical object protection. However, the
advent of deep learning as a powerful attacking tool has shown that the general
authentication schemes are unable to compete and fail against such attacks. In
this paper, we propose a new mathematical model of printing-imaging channel for
the authentication of CDP together with a new detection scheme based on it. The
results show that even deep learning created copy fakes unknown at the training
stage can be reliably authenticated based on the proposed approach and using
only digital references of CDP during authentication.
