分形解码具有简单，快速等优点，但是传统的解码根据Banach 不动点定理，每次得到的图像都是当前次迭代变换的图像，这对于一些渐进传输及渐进显示的情况是不适用的，如窄带传输和计算机辅助动画制作，因此有必要对其进行改进；渐进不动点定理由于参数固定，它的控制也是很有限的。为了得到较好地控制，在根据分形解码的特点，提出了“可控变参数不动点定理”来进行解码。实验结果表明，该方法比原方法具有很大的改进。

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.