Fractals are images of infinite complexity, characterized by being "similar" to themselves in some sense at all scales of magnification.
Iterated function systems (IFS) are a method of generating fractals using self-similarity. An IFS image is defined as being the sum of geometric transforms of itself: each transform is a small affine map (a combination of scaling, rotation and translation) that maps the whole image onto one of its parts. It turns out that simply specifying the transforms along with a weight for each transform is enough to determine the image.
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