Abstract:A new improved algorithm for image denoising was proposed by analyzing the Total Variational (TV) model. According to the viewpoint of Maximum A Posteriori (MAP) and Markov Random Field (MRF) theory, a generalized variational functional model was deduced. And the Lagrange multiplier λ used for balancing the data fidelity term and regularized term was adaptively improved. An edge preserving potential function was adopted, which had good robustness to noises; finally an iterative algorithm was exploited to solve the energy functional combining weighted gradient descent flow and semi-point scheme. Experimental results show that the proposed model has good performance in image denoising. It is obviously superior to the conventional variational model in both visual effect and PSNR.