Before we get into the weeds of building anonymous credentials, it’s worth considering the obvious solution. What we want is simple: every user’s credential should be indistinguishable when “shown” to the resource. The obvious question is: why doesn’t the the issuer give a copy of the exact same exact credential to each user? In principle this solves all of the privacy problems, since every user’s “show” will literally be identical. (In fact, this is more or less the digital analog of the physical wristband approach.)
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Instead of perturbing each pixel in the input image at random, we can choose to dither by a predetermined amount depending on the pixel’s position in the image. This can be achieved using a threshold map; a small, fixed-size matrix where each entry tells us the amount by which to perturb the input value , producing the dithered value . This matrix is tiled across the input image and sampled for every pixel during the dithering process. The following describes a dithering function for a 4×4 matrix given the pixel raster coordinates :
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