Image diffusion filtering algorithm combined with variable exponent and convective constraint

A diffusion function based on mixed gradient and variable exponent is built by combining image characteristics in wavelet transform and spatial domains to solve the edge blurring problem of the traditional anisotropic diffusion model in image filtering and improve image filtering performance. A convective term is introduced as a constraint in the image diffusion model to control the strength of image diffusion, and an image adaptive diffusion filtering algorithm is developed. Experimental simulation using test images as research objects is performed to verify the effectiveness of the proposed algorithm. Results show that the proposed algorithm effectively inhibits the edge blurring effect during image diffusion and improves the visual quality of the filtered image.