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Fractal video compression is evolved from still image fractal compression.the compression theory of Fractal video compression is the extension of Jacquin partitioning method including expanding the 2D range block and domain block into 3D range cube and domain cube, or adopting the integrated method of inter-frame fractal compression and intra-frame motion compensation. There have been research papers on the two thoughts.


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The essence of fractal compression is to obtain compression code using the internal self-similarity of each object. With regard to the video image sequence s, it is believed that there is always two similar parts in sequence s from the fractal perspective. Therefore, it is suggested to divide video sequence s into small non-overlapping cuboids, which are called range domain cuboids. Then find the similar parts in each range domain cuboid r, so as to calculate the compression code.


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In general, any matrix u in the arrangement of row-column-frame is corresponded to a vector v. Fractal compression adopts the fixpoint theory of iterated function system (IFS), which can be described as that for each r, there is a IFS, of which the  fixed point is just the vector v of related range domain cuboid r, therefore it is needed to seek similar part d of..... to make a=1.
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