determining actual images, wherein each image F(θi, φj) of the actual images having an actual size and corresponding a macroscopic magnified image of the optical anti-counterfeiting element, wherein θ and φ are an inclination angle of the macroscopic magnified image rotating in a y-axis and an inclination angle rotating in an x-axis, respectively, i and j are respective serial numbers of animation frames when the macroscopic magnified image rotates in the y-axis and in the x-axis;

pixelating the each image F(θi, φj) according to the actual size of the each image F(θi, φj) and a size of a micro-sampling tool formed on a first surface of a substrate of the optical anti-counterfeiting element, and each pixel of the each image F(θi, φj) corresponding to one micro-sampling tool, wherein the each image F(θi, φj) is scaled and pixelated into N*N pixels, wherein N=L/p, p is a pitch of the micro-sampling tool, L is a side length of the macroscopic magnified image;

projecting each pixel to a micro image-text unit corresponding to the micro-sampling tool according to the inclination angles θ and φ, such that each micro image-text unit is composed of one pixel from the each image F(θi, φj),

when a second surface of the substrate of the optical anti-counterfeiting element is observed through the micro-sampling tools, a stereoscopic animated anti-counterfeiting feature of the macro magnified image can be seen.