01/23/2003
15-462 Graphics I
14
Coordinate Systems
•
Let v
1
, v
2
, v
3
be three linearly independent
vectors in a 3-dimensional vector space
•
Can write any vector w as
•
•
for scalars
a
1
,
a
2
,
a
3
•
In matrix notation:
•
w =
a
1
v
1
+
a
2
v
2
+
a
3
v
3