## A Conversation for Fractals - Beautiful Mathematics

### fractal compression

wonko the sane Started conversation Apr 20, 2001

fractal compression is an efficient and comparatively recent

method of digital image compression ie reducing the size of those

huge megabyte .bmp files down to a few kilos.invented by barnsley and

jaouquin in 1988.it surpasses the current idustry standard in image

compression -the JPEG algorithm in terms of compression ratios

sometimes as much as 90% .but as of now most fractal compression

software take far too long to compress an average size image,which

limits its commercial viability.but as computing speed gets faster

and faster ,we could soon see fractal compression being the norm...

the basic principle involved in fractal compression is just the

opposite of fractal imaging,given an image we want to compress, find

an appropriate mathematical "equation" that describes it.this is

usually in the form of a set of linear maps called an "affine

transformation".once this is done,only the parameters of this mapping

need to be stored and not the pixel values themselves.thus

impressive compression ratios can be obtained.but,finding this

mapping requires time-lots of it.which means fractal compression

is not yet ready to be impemented commercially.

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