Image cartoon-texture decomposition using Mumford-Shah model and G-space
Chao Wang, Lu Fang, Fengqin Ye, Zhong Fu Ye · Rare & Special e-Zone (The Hong Kong University of Science and Technology) · 2008
The cartoon-texture decomposition is presented by a variational problem. The cartoon component is described by piecewise smooth functions (Mumford-Shah model, or M-S model), while the texture is characterized by oscillating functions in G space. Since M-S model explicitly requires the piecewise smoothness of the structure (i.e. cartoon component) and applies L2 norm of the gradients at the non-edge pixels, it can avoid the staircase effect coming from the total variation (TV) model. Furthermore, the oscillating characteristics of texture defined in the G space ensure that there is less texture information in the resultant cartoon component. Experimental results show that the proposed method can achieve better result than the classical TV-L2 and the recent TV-G methods.