Image processing algorithm based on solitary wave

The core algorithm of digital image processing has mainly involved three aspects: random theory, wavelet analysis and partial differential equations. This paper presents a new algorithm, which takes the digital image as a pixel grid, and then establishes the dynamic equation that has solitary wave solutions. Moreover, the solution can become analytic so it can be applied to the image directly. Meanwhile, due to the elastic collision properties of the solitary wave, pixel of the same size can produce the same kind of solitary wave, which facilitates a further processing of pixel. The interplay between pixels can be further studied in terms of collision property on account of the nonlinear effect. Analysis of the algorithm shows that solitary wave amplitude characterizes the effect between adjacent pixels, and the phase change of solitary waves provide the azimuth information of image.