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Birth of fractal geometry in paper by B.Mandelbrot "the Fractal Geometry of Nature", 1977
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J. Hutchinson: Iterated Function Theory, 1981
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M.Barnsley, "Fractals Everywhere", 1988
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in the forward direction fractal mathematics is good for generating natural looking images (trees, clouds, mountains)
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Used in Computer Graphics (Fractal trees,Mountains etc.)
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in reverse direction can be used to compress images
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inverse problem: to go from a given image to Iterated Function System that can generate the original (unsolved)
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there are not many fractal compression programs available
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the fractals that lurk within fractal image compression are not those of the complex plane (Mandelbrot, Julia), but of Iterated Function Theory
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example: Sierpinski's Triangle
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