This study aims at explaining how to design multi-view prints that can show different images in different illumination conditions. A recent reflectance-transmittance optical model for recto-verso halftone prints is extended in order to fasten the calibration step and is used, according to an inversed approach, to design the rectoverso prints displaying the different images in their respective illumination modes. The good prediction accuracy of the model allows creating special effect prints, such as transformation of a binary image in one mode into a second binary image in the second mode, or the transformation of color image into a grey-level version, or the revelation of a message by texture contrast. Regarding the illumination conditions, simultaneous illumination of both sides of the print is allowed. The difficulty of designing such print comes from the fact that the images that are printed on the two sides of the paper are not the images that are displayed, and that the colors displayable in one mode depend on the colors wanted in the other mode. Since no general color management method for these kinds of prints is available, ad hoc methods are proposed for the different effects considered.
Predicting simultaneously the spectral reflectance and transmittance of halftone prints is now possible thanks to a recently developed model based flux-transfer matrices, called Duplex Primary Reflectance-Transmittance model, valid for single-face printing as well as duplex printing. The model can be calibrated from either spectral reflectance measurements or spectral transmittance measurements; but it can also be calibrated from both measurements by minimizing the distance between the theoretical transfer matrices and experimental transfer matrices. According to the test carried out with paper printed in inkjet, the predictive performances of DPRT model, coupled with the new calibration method, are good enough to permit interesting applications in graphical arts, such as the display of multiple images depending on whether the light source is in front of the duplex color print or beside it.