Gradient – More formal
•
Suppose we move
D
in direction
q.
•
M
otion:
v=(
D
cos
q
,
D
sin
q
)
•
Intensity change:
<v,
I>
•
Recall <v,w> = ||v|| ||w|| cos
a.
•
So
<v,
I>
is maximized when
v
is in the
direction of
I.
•
In that direction, rate of image change
is: ||
I
||.
•