In this paper we are concerned by authentication of printer technologies from microscopic analysis of paper
print. At this scale, a print is made of regularly spaced dots whose shape varies from a print to another and
also inside the same document. Thus, dot at the microscopic scale can be considered as an intrinsic signature
of printer technologies. Modeling and estimating such a signature for the authentication of printer technologies
are really challenging. In this paper, we propose an original modeling of the micrometric scan of document
printing. It consists in an extension of the binary response model which takes into account the dot shape. The
digital image of a dot is therefore modeled as a set of random pixels distributed following to the so called inverse
link function which depends on the center, tone of black, its spreading and its shape. A maximum likelihood
estimation algorithm is provided in order to estimate the location, the darkness, the scale and shape parameter
of the dot. From experimental results on three different printer technologies (inkjet, laser and offset), we show
that the shape parameter is relevant for designing an identification scheme of printer technologies.
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