Graphics Reference
In-Depth Information
unit vectors,
u
2
is 90
◦
counterclockwise from
u
1
, and similarly
v
2
is 90
◦
counter-
clockwise from
v
1
. You can write down the matrix
M
u
for
T
in the
u
-coordinate
system and the matrix
M
v
for
T
in the
v
-coordinate system.
(a) If
M
u
is a rotation matrix
cos
, what can you say about
M
v
?
(b) If
M
u
is a uniform scaling matrix, that is, a multiple of the identity, what can
you say about
M
v
?
θ
sin
θ
sin
θ
cos
θ
(c) If
M
u
is a
non
uniform scaling matrix of the form
a
, with
a
0
=
b
, what
0
b
can you say about
M
v
?
