01/23/2003
15-462 Graphics I
17
Map to Representations
•
w =
a
1
v
1
+
a
2
v
2
+
a
3
v
3
,
a
T
= [
a
1
a
2
a
3
]
•
w =
b
1
u
1
+
b
2
u
2
+
b
3
u
3
, b
T
= [
b
1
b
2
b
3
]
•
•
•
•
•
So
a
=
M
T
b
and
b
= (
M
T
)
-1
a
•
Suffices for rotation and scaling, not translation