Fig. 8

The Barbara image (d) with additive Gaussian white noise (σ=20) is decomposed by the Aujol and Chambolle model (a–c) and the DG3PD model (e–h) with δ=16 and the other parameters are the same as in Fig. 2. Comparing a and e, we observe that the cartoon image u obtained by the DG3PD model (e) has a smoother surface and sharper edges than a. Comparing the texture images v, we note that f is smoother and sparser than b. In order to highlight the sparseness of the DG3PD texture, all positive coefficients are visualized as white pixels in h. For visualization, we add 150 to the value of the residual ε in g. The residual in g still contains some texture, but mainly the Gaussian noise which is obviously shown in the QQ plot (i). There are some differences at the end of the tail in i probably due to the remaining texture and the numerical simulation of Gaussian noise