A novel model for show-through in scan of duplex printed documents

In scan of duplex printed documents, show-through is a phenomenon where the printing of the opposite side “shows through” and contaminates the data of the scanning side. Despite the efforts of prior works to model and correct the show-through effect, an accurate mathematical model based on rigorous analysis of the show-through phenomenon is yet to be reported in the literature. In this paper, we present a detailed analysis of the phenomenon and derive a physics-based novel mathematical model for the show-through effect. We follow a probabilistic approach to explain the scattering of photons in the scanning setup of document-backing system. The show-through model, i.e., the relationship between the reflectances of the two sides of the printed document is then derived using the various components of the photon fluxes emerging from those sides. The model is validated using practical show-through data. Finally, the effectiveness of our model is tested by applying it to show-through correction. The results of experimental tests demonstrate superior performance of our model and algorithm when compared to a well-cited work reported in the literature.

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