Probabilistic Inference to the Problem of Inverse-halftoning based on Statistical Mechanics of Spin Systems

On the basis of statistical mechanics of spin systems, we formulate the problem of inverse-halftoning using the maximizer of the posterior marginal (MPM) estimate for halftone images which are generated both by the threshold mask method and the clustered-dot dither method. Then, the Monte Carlo simulation for a halftone image clarifies that the MPM estimate works well for inverse-halftoning, if we appropriately set parameters of the Boltzmann factor of the ferromagnetic Q-Ising model used for the model prior. Also, we reveal the result that inverse-halftoning is achieved in inner area of the threshold mask more accurately than on the boundary