9
Computing Affine Transformations between Sets of Matching Points
P1=(x1,y1)
P2=(x2,y2)
P3=(x3,y3)
P2´=(u2,v2)
P1´=(u1,v1)
P3´=(u3,v3)
Given 3 matching pairs of points, the affine transformation
can be computed through solving a simple matrix equation.
u1  u2  u3                    a11  a12  a13       x1  x2  x3
v1  v2  v3          =       a21   a22  a23       y1  y2  y3   
1     1    1                       0      0      1          1    1    1