ABSTRACT
Anyway the given expressions are influenced by a parameter k, and in image regions where ||∇I|| > k the smoothing effect is less and the edges are preserved, and for ||∇I|| > k the diffusion coefficient is bigger and the smoothing effect is greater. In other words k is a contrast parameter or gradient threshold. Figure 2 illustrates the behavior of the diffusion coefficient that is sensitive to the choice of this contrast parameter. After the same number of iterations, the smoothing effect resulting of the diffusion process is different choosing different values of k; with the increase of k, the diffusion process blurs the image, deleting the details as figure 2d) shows.
