Biomedical Engineering Reference
In-Depth Information
10.
Take the anisotropic diffusion scheme (see Section 7.8):
∇
I
1
+
[
∇
I
/
T
]
2
∂φ
∂
t
=
div
.
Show that if
∇
I
<
T, the edges are blurring and if
∇
I
>
T they become
sharper.
11.
Let us suppose h and g as constants in the GVFmodel given by the equation:
∂
u
∂
t
=
g
u
+
h
(
∇
f
−
u
)
.
Consider the stationary solution and take the Fourier transform of the
corresponding stationary equation to analyze the GVF in the frequency
space.