Fourier-based automatic alignment for improved visual cryptography schemes

Jacques Machizaud 1 Pierre Chavel 2 Thierry Fournel 1
1 Laboratoire Hubert Curien / Eris
LHC - Laboratoire Hubert Curien [Saint Etienne]
2 Laboratoire Charles Fabry de l'Institut d'Optique / Scop
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
Abstract : In Visual Cryptography, several images, called "shadow images", that separately contain no information, are overlapped to reveal a shared secret message. We develop a method to digitally register one printed shadow image acquired by a camera with a purely digital shadow image, stored in memory. Using Fourier techniques derived from Fourier Optics concepts, the idea is to enhance and exploit the quasi periodicity of the shadow images, composed by a random distribution of black and white patterns on a periodic sampling grid. The advantage is to speed up the security control or the access time to the message, in particular in the cases of a small pixel size or of large numbers of pixels. Furthermore, the interest of visual cryptography can be increased by embedding the initial message in two shadow images that do not have identical mathematical supports, making manual registration impractical. Experimental results demonstrate the successful operation of the method, including the possibility to directly project the result onto the printed shadow image.
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Jacques Machizaud, Pierre Chavel, Thierry Fournel. Fourier-based automatic alignment for improved visual cryptography schemes. Optics Express, Optical Society of America, 2011, 19 (23), pp.22709-22722. ⟨10.1364/OE.19.022709⟩. ⟨ujm-00657282⟩

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