Abstract: A new variational model for noise removal was proposed. It combines the total variational (TV) functional with a second order functional,and the corresponding negative gradient flow is a fourth order PDE.The proposed model combines the benefits of the total variation model and the secondorder model,being able to preserve edges while at the same time avoid the staircase effect in smooth regions. Experimental results illustracted advantages of the proposed model.

Key words: total variation, PDE, BV space, negative gradient flow, image restoration, total variation, PDE, BV space, negative gradient flow