Digital Signal Processing Reference
In-Depth Information
Figure 4.8.
Truth Table for Boundary Motion Coherence. Note we only consider a an
edge to be in the object boundary when (
v
i
(
v
e
.
N
e
= N
e
.
v
e
)
→
→
→
→
(
v
o
.
N
e
→
N
e
.
v
e
)
→
→
→
→
≠
v
o
)
Λ
Λ
→
≠
is true.
S
||
∆
2
S
||
2
∫
E
world
=
E
smooth
(
S
)=
dA
(4.8)
where
∆
2
S
is the second order gradient of the surface
S.
E
OBJECT
Components of
E
object
use
a priori
knowledge and
/
or preprocessing
results to predict surface shape and size. By knowing the approximate
class of objects (for instance, rigid vs. non-rigid), we better predict the
spatio-temporal behavior of the surface. In our system, our bootstrap
stage gives approximate shape and size of an video object.
As shown in
Figure
4.9,
we
can
translate
this
partial
information
through
the
con-
cepts of containment,
locality, and Voronoi
Order consistency.
E
object
(
S
,M) =
E
contain
(
S
,
M
)+
E
local
(
S
,
M
)+
E
voronoi
(
S
,
M
)
(4.9)
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