Biomedical Engineering Reference
In-Depth Information
Fig. 5.
Energy in functional (6) of the solution obtained at each step of the gradient descent by
the new method for
λ
=0
.
05
,
σ
=0
.
05
,
τ
=0
.
1
and different initial data
u
0
: black image
(
u
0
≡
0
), white image (
u
0
≡
1
), the noisy image (
u
0
≡ f
) and a random image (
u
0
≡ rand
)
(b) Denoised with
λ
=
σ/
2
(a) Original
Fig. 6.
A slice of the original Diffusion Weighted Image corresponding to the (1, 0, 0) gradient
direction and the corresponding denoised image
where the
λ
i
are the eigenvalues of the tensor and
λ
=(
λ
1
+
λ
2
+
λ
3
)
/
3
.TheFA
values vary from
0
, (when the motion in the voxel is completely isotropic) to
1
(to-
tally anisotropic). For the reconstruction of the DTI a set of DWI has to be acquired,
scanning the tissue in different directions of the space. At least six DWI volumes are
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