Information Technology Reference
In-Depth Information
the frame at
t
to the frame at
t
1 are calculated. After some algebra,
R
b
and
t
b
can
be obtained in terms of the forward rotation matrix
R
and the translation vector
t
as
follows:
−
R
b
=
R
−
1
,
t
b
=
R
−
1
t
.
−
(22)
As in the case of forward directional interpolation, interpolated motion parameters
for the desired temporal location are obtained via linear interpolation:
R
b
,
m
=
R
b
θ
b
2
,
a
b
,
t
b
,
m
=
t
b
2
.
(23)
For bi-directional interpolation, the 3D coordinates of the foreground objects at the
time instants
t
1
2
using
forward and backward motion parameters and then projected to the image plane
of a desired view. Intensities at overlapping 2D locations of the middle frame are
found by simply averaging corresponding intensities at the time instants
t
−
1and
t
are rotated and translated to the time instant
t
−
1and
t
.
Figures 14 and 13 reveals that utilizing bi-directional interpolation instead of only
forward directional interpolation improves the visual quality of the resulting frames
significantly.
−
Fig. 13
Interpolated frame after post-processing
