Sharpening exaggerates differences between neighbouring pixels. This tool uses a 3 x 3 convolution: for each pixel, it takes the pixel's own value multiplied by 1 + 4k and subtracts k times each of the four pixels directly above, below, left and right, where k is the intensity divided by 50. On flat areas the neighbours cancel out and nothing changes; along an edge, the light side gets lighter and the dark side darker, so the edge looks crisper.
At the default intensity of 50, k is 1 and the filter is the standard textbook sharpening kernel. At 100, k is 2 and the effect is twice as strong. Despite the address of this page, no AI is involved; it is a fixed mathematical filter applied to every pixel.