The fractal decoding has the merit of simple and fast and so on. But according to the Banach’fixed point theorem

each time the conventional decoding obtains the image that is iterated and transformed

which is not suitable for the situation of advancing transmission and demonstration

such as low bandwidth transmission. And manufacture of computer auxiliary animation

therefore it is necessary to improve it. On account of the fixed parameter

the control of the advancing fixed point theorem is also very limited. In order to be under better control

this article proposes “fixed point theorem of controllable and changeable parameter” to decode based on the characteristic of fractal decoding. The experiment indicates that the method has better and bigger improvement compared to the original method.