Visual Communication Effect Modeling of Public Service Advertisements Based on Fractional Differential Equations

This paper establishes the visual communication effect model of public service advertisement based on a fractional differential equation. In this paper, a guided filter is used to smooth the image and improve the grayscale phenomenon of the image. Then this paper adopts a method based on wavelet transform to obtain the reference line of the target point source. This achieves the suppression of the background baseline of the target point. Finally, this paper extracts the edge detail feature value in the public service billboard, which realizes the fusion recognition of the missing part in the advertising image. Then this paper transforms it into the problem of separating the object’s foreground from the image’s background. Finally, this paper uses an improved nonlinear diffusion method to suppress the tiny image detail signal. Experiments show that the algorithm has good optical transmission performance and is not limited by the size of public service advertisement images.