Biomedical Engineering Reference
In-Depth Information
(a)
(b)
(c)
Figure 3.
Several steps in a surface evolution to extract the white matter of the brain
from an MRI scan: (a) initialization of the algorithm by two spheres inside the WM; (b)
intermediate evolution step; (c) final result of the surface evolution representing the extracted
WM volume.
for solving the eikonal equation, it lacks accuracy along diagonal directions and
its computational complexity is not optimal. Recently, we proposed an improved
version of the FMMthat is highly accurate onCartesian domains. This newmethod
is called multi-stencils fast marching (MSFM), and it computes the solution at
each point by solving the eikonal equation along several stencils and then picks
the solution that satisfies the fast marching causality relationship. The stencils are
