01/23/2003
15-462 Graphics I
25
Translation
•
p
’ =
p
+
d
where
d
= [
a
x
a
y
a
z
0]
T
•
p
= [x
y
z
1]
T
•
p
’ = [x’
y’
z’
1]
T
•
x’ = x+
a
x
, y’ = y+
a
y
, z’ = z+
a
z
•
Express in matrix form
p
’ =
T p
and solve for
T