We added a new coordinate to represent the translation: x'= ax+by+tx = (a b tx) ·(x y 1), y' = cx+dy+ty = (c d ty) ·(x y 1), 1 = 0x+0y+1*1 = (0 0 1) ·(x y 1)
We added a new coordinate to represent the translation:
x'= ax+by+tx = (a b tx) ·(x y 1), y' = cx+dy+ty = (c d ty) ·(x y 1), 1 = 0x+0y+1*1 = (0 0 1) ·(x y 1)