Weighted hybrid order total variation model using structure tensor for image denoising

A total variation filter has the characteristic of edge protection and has been widely used in image denoising for many years. In this study, our aim was to eliminate the staircase effect generated by the total variation model effectively, while also retaining the edge details. Therefore, we propose a weighted hybrid order total variation model which uses the determinant and trace of the structural tensor to control the smoothness. We used the split Bregman iterative algorithm to numerically solve the corresponding discrete problems. A coherent enhanced diffusion filter was used for preprocessing in each iteration; then, the proposed diffusion function was used for denoising. Numerical experiments show that the model has excellent denoising and edge protection performance.