Spectral transmittance model for stacks of transparencies printed with halftone colors

International audienceThe present work investigates the transmission of light through stacks of halftone printed transparencies. We propose a spectral transmittance model describing the multiple reflections of light between the transparencies, whose individual reflectance and transmittance have themselves been obtained by a prediction model. The model for single printed transparency involves the multiple reflections of light between the interfaces as well as the orientation-dependent attenuations of light within the plastic and ink layers. A procedure enables converting the nominal ink surface coverages into effective ones by taking into account the spreading of the inks. Calibration of the model is based on printing a small number of color patches on one transparency and measuring their spectral transmittance. Regarding the stacks of transparencies, an experimental test carried out with inkjet printed samples shows good agreement between predictions and measurements for stacks of two, three and four transparencies. Stochastic halftones are used in order to avoid the apparition of moiré patterns when superposing the halftones. By inversion of the model, we are able to determine the halftone colors to print on each transparency in order to obtain by superposition one targeted color. An original application of this, called "color matching", consists in producing one color of stack from various combinations of colors on the transparencies. The prediction accuracy of the proposed model guarantees the good visual uniformity of the resulting colored area

Radical anti-realism and substructural logics

We first provide the outline of an argument in favour of a radical form of anti-realism premised on the need to comply with two principles, implicitness and immanence, when trying to frame assertability-conditions. It follows from the first principle that one ought to avoid explicit bounding of the length of computations, as is the case for some strict finitists, and look for structural weakening instead. In order to comply with the principle of immanence, one ought to take into account the difference between being able to recognize a proof when presented with one and being able to produce one and thus avoid the idealization of our cognitive capacities that arise within Hilbert-style calculi. We then explore the possibility of weakening structural rules in order to comply with radical anti-realist strictures

Spectral reflectance and transmittance prediction model for stacked transparency and paper both printed with halftone colors

International audienceWhen a transparency printed with a first halftone color is deposited on top of a paper printed with a second halftone color, we obtain a third color that we are able to predict in both reflectance and transmittance modes, thanks to a spectral prediction model. The model accounts for the multiple reflections of light between the printed paper and the printed transparency, which are themselves described by specific reflectance and transmittance models, each one being calibrated using a small number of printed colors. The model can account for light scattering by the inks. The measuring geometry and the orientations of light in the transparency are taken into account on the basis of radiometric rules and geometrical optical laws. Experimental testing carried out from several inkjet-printed CMY halftones shows fairly good agreement between predictions and measurements

Monopolistic competition in general equilibrium: Beyond the CES

We propose a general model of monopolistic competition and derive a complete characterization of the market equilibrium using the concept of Relative Love for Variety. When the RLV increases with individual consumption, the market generates pro-competitive effects. When it decreases, the market mimics anti-competitive behavior. The CES is a borderline case. We extend our setting to heterogeneous firms and show that the cutoff cost decreases (increases) when the RLV increases (decreases). Last, we study how combining vertical, horizontal and cost heterogeneity affects our results.monopolistic competition ; additive preferences ; love for variety ; heterogeneous firms