Analysis of image processing model based on pixels of solitary waves

Through the study on nonlinear effect of digital image pixel grid,the one-dimensional and twodimensional time evolution equations model of nonlinear effect between pixels were established,the analysis of the equation model shows that the image was discrete in space,but on the structure of mutual information was a continuous differential difference equations,and the equation had analytic solitary wave solutions. The model was used to study the interaction of image pixels between two solitary waves,pixel solitary wave of two solitary wave solutions were given,and used the interaction of solitary waves of the pixel to study the performance of model,it was found that pixel solitary wave can still maintain their properties unchanged after the interaction,so pixel itself can be replaced by pixel solitary wave. To study the interaction situation of pixel solitary wave,it was found that pixel solitary wave amplitude was nonlinear superposition of the two,so it could be used as the result of the influence. The phase change of pixel solitary wave can map for direction and provide direction information of the image. The experiment result shows that the model can be used in image filtering,although the smoothness is not optimal,image details retain more.