Promotion Method for the Degeneration of Element Based Image Fusion

This article mainly study the application of the digital image process based on PDE. We present the concept and property of scale space, and give the relationship between continuous scale space and the PDE model, for example, the heat exchange equation ascertain the gauss scale space. Following with the simple linear diffusion equation, it introduces the nonlinear isotropic diffusion and the nonlinear an isotropic diffusion. It not only presents corresponding idiographic diffusion equation models, but also compares the different effects of them in image processing. This application begins with the method of energy analysis, then constructs variation problem, gets the original model at last. Besides, it improves the original model for the goal of noise-removing, edge enhancement, remaining the original image´s information. The difficulty of image processing - edge´s noise-removing and blur-removing, will be answered preferably by this article. As the result indicates, the image processed by this method is quite notable in the aspect of SNR enhancement. This article analyses the function of each PDE´s items in image processing from the mathematical view, by which we constructs the diffusion model which not only generates the new arithmetic in the article, but also paves the way for people´s further research in this field.