Page 56 - PowerPoint Presentation

What’s the inverse transform?

j =(0,1) v =(v ,v )
x
y

p ij p uv

u=(u ,u )
x
y
i =(1,0)

p = (5,4) = p u + p v p = (p ,p ) = ?
ij
uv
y
x
x
y
-1 -1
u v  5  u v 
p =  x x    =  x x  p ij
uv
 u y v y   4   u y v y 

• How can we change from any basis to any basis?

• What if the basis are orthogonal?