Digital Signal Processing Reference
In-Depth Information
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
FIGURE 3.22
Filtering
of
balloon
corrupted
by
component-independent
contaminated
Gaussian
noise:
(a) original, (b) noisy, (c) MED, (d) MED
v
(
L
2
)
, (e) MED
v
(
L
1
)
, (f) VDF, (g) DDF, (h) FMED, and
(i) FMED
v
filtered images. (Original color images are depicted here in black and white.)
individual edge and face, respectively. In addition, vertices, edges, and faces
are often represented by their corresponding indices. The geometry of a mesh
is specified by all the vertex positions, denoted as
x
i
3
,
1
V
. The
vertex positions of a noisy triangular mesh are altered by surface smoothing
algorithms while the topology is kept unchanged.
If a mesh is corrupted by noise, then the face normals are similarly
corrupted.
43
,
44
The noisy normals can be effectively smoothed through fuzzy
∈
≤
i
≤
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