Co-Volume Level Set Method in Subjective Surface Based Medical Image Segmentation - Biomedical Image Analysis - page 590

Figure 11.10: Subjective surface based segmentation of solid circle. We plot
numerically computed time steps 0, 2, 10, 20, and 100. In the bottom right we
see accumulation of level lines of segmentation function on the edges. In this
experiment ε = 10 − 10 , so we are very close to level set flow equation (11.8) (color
slide).
bit different. Eq. (11.2), in the case ε = 1, gives diffusion which is known as mean
curvature flow of graphs. It means that no level sets of segmentation function
move in the normal direction proportionally to curvature, but the graph of seg-
mentation function moves (as 2D surface in 3D space) in the normal direction
proportionally to the mean curvature. The large variations in the graph of seg-
mentation function are then smoothed due to large mean curvature. Of course,