The study firstly constructs the fractional order differential equation and combines the full variational term to propose the modified adaptive fractional order partial differential equation model.The study first determines the optimal fractional order for the fractional order partial denoising model,and at a fractional order of 1.8,the peak signal-to-noise ratio and structural similarity reach 33.12 and 0.874,and the root-mean-square error is reduced to 5.62.Then the proposed model is compared with the full variational model and the fractional order partial denoising model in the image for compari-son experiments,and the proposed model achieves the highest peak signal-to-noise ratio and structur-al similarity reaches the highest,29.045 and 0.839 respectively,and the root mean square error is 9.427,which indicates that the model is able to suppress the step effect and has superior denoising per-formance.
关键词
自适应/分数阶/能量泛函/均方根误差/偏微分方程
Key words
adaptive/fractional order/energy flooding/root mean square error/partial differen-tial equations
万方数据