Graphics Reference
In-Depth Information
Table 1.
Description of notation
Notation
Description
The previous left image, we also call it template image in this paper.
The previous right image.
The next left image.
The next right image.
The block in
, we also call it template block in this paper.
The block in
.
The block in
.
The block in
.
( )
T
,The coordinates in
x
,
y
(
)
T
,is the affine parameter between blocks in the
previous left image
and the one in the previous right image
ʱ
,
ʱ
,
ʱ
,
ʱ
,
ʱ
,
ʱ
1
2
3
4
5
6
The increment of the affine parameter
.
ʔ
The shift between the left two blocks.
ʔ
d
The increment of
.
The shift between the right two blocks.
The increment of
.
ʔ
d
R
(;
)
x
, denote the affine transformation.
(
)
1
+
ʱ
ʱ
ʱ
1
3
5
⇅
y
(
)
ʱ
1
+
ʱ
ʱ
2
4
6
1
(;
)
The shift function between the previous and next images.
in the template image; its corresponding blocks in the other three images can be
located by the proposed method. Fig.1 illustrates the block matching process. After all
the block correspondences are obtained in the surface, the whole surface can be
reconstructed and tracked. So, the main problem is how to find one block
correspondence.
2.3
Match One Block in Spatio-Temporal Images
Our matching process is based on the assumption that for small blocks in the images,
only the affine transformation exsits between the blocks of left image and the
corresponding right one, and only the shift exists between the successive blocks.
Under this hypothesis, the problems come down to find the affine parameters between
left and right block, and shift parameters between previous and next block.
The Energy Function of Match One Block An energy function is designed in terms
of the sum of squared error among the four blocks of the four images to find the block
correspondence. This energy function includes three components, as shown in Eq.(1),
namely the sum of squared error between
B
pl
and
B
pr,
the sum of squared error
between
B
pl
and
B
nl
and the sum of squared error between
B
pr
and
B
nr
.
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