Application of a Fractional Grey Prediction Model Based on a Filtering Algorithm in Image Processing

• Published in: Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-18
• Main Authors: Duan, Huiming, Luo, Xilin, Shao, Kailiang, Tong, Mingyu
• Format: Article
• Language: English
• Subjects: Algorithms; Correlation analysis; Empirical analysis; Engineering; Grey prediction; Image enhancement; Image filters; Image processing; Information processing; Medical research; Methods; Noise; Noise prediction; Pixels; Prediction models; System theory
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2020/4170804

Image filtering can change or enhance an image by emphasizing or removing certain features of the image. An image is a system in which some information is known and some information is unknown. Grey system theory is an important method for dealing with this kind of system, and grey correlation analysis and grey prediction modeling are important components of this method. In this paper, a fractional grey prediction model based on a filtering algorithm by combining a grey correlation model and a fractional prediction model is proposed. In this model, first, noise points are identified by comparing the grey correlation and the threshold value of each pixel in the filter window, and then, through the resolution coefficient of the important factor in image processing, a variety of grey correlation methods are compared. Second, the image noise points are used as the original sequence by the filter pane. The grey level of the middle point is predicted by the values of the surrounding pixel points combined with the fractional prediction model, replacing the original noise value to effectively eliminate the noise. Finally, an empirical analysis shows that the PSNR and MSE of the new model are approximately 27 and 140, respectively; these values are better than those of the comparison models and achieve good processing effects.