Fractal Image Coding

The Fractal technique means endless self-similarity. We all know Fractal examples such as a fern or a cloud. Those objects have the characteristic that any detail has the shape of another cloud or fern. This similarity is exploited in Fractal image coding. Hence, Fractal objects are generated by describing every element of the image by another element. The mathematical tool which allows such a description are called affine transforms. The complete set of transforms which describes the entire picture is then called Iterative Function Set (IFS). The decoding is achieved by repeatedly mapping the IFS starting from an arbitrary image. A decoding example is given below. Please down load my paper about Fractal image coding for further details.

Iteration Step #0

Iteration Step #1

Iteration Step #2

Iteration Step #10