Estimating reflectance of halftone image printed on diffusing substrate by Markov chains

We proposed a new spectral reflection prediction model that modified the classical Williams-Clapp.er model by considering the fact that the incident light entered into a given medium surface and exited from another medium, such as entered from colorant patch and exited from paper sheet. And the complex multiple reflection-transmission process occurring between different layers was described by Markov chain. Considering the transverse scatting influence of light propagated in the paper sheet, we introduced experience probability theory, then we calculated four fundamental transfer matrixes under different situation; finally, a new spectral reflectance model of halftone images based on the optical dot gain was established combined with Demichel equation.