Graphics Reference
In-Depth Information
Ω
Ω
Figure 3.45.
Two images with inpainting regions
.
3.19 Consider the distortion energy for one quad
q
in optimized scale-and-
stretch resizing, given by
v
i
,
v
j
∈
V
q
(
v
i
−
v
j
)
−
2
s
q
(
v
i
−
v
j
)
(3.48)
Show that the optimal scaling factor
s
q
that minimizes Equation (
3.48
)is
given by:
v
i
,
v
j
∈
V
q
(
)
(
v
i
−
v
j
)
v
i
−
v
j
v
i
,
v
j
∈
V
q
s
q
=
(3.49)
v
i
−
v
j
2
3.20 Consider the image and seams in Figure
3.46
. Note that the region on the
left side of the image is darker than the region on the right side. Order the
seams in increasing energy (assuming we use Equation (
3.36
)).
AABC
D
E
Figure 3.46.
An example image
with five vertical seams.
3.21
Show why the arc weights in Figure
3.31
b result in a minimal cut that (a)
forms a connected path of pixels that (b) only intersects one pixel per row.