After discussing the second level low frequencies part of wavelet transform

which is rather difficult to be compressed

we can use the nonlinear mapping capacity of multi layer free forword neural network on BP algorithm. A scheme of image coding based on nonlinear predictor is put forward. Redundance among the wavelet coefficients can be ridded effectively with the help of this method. On the condition of relatively low distortion degree

the rather satisfactory compress rate can be achieved.