Homogeneous Coordinates

• Add a 3rd coordinate to every 2D point

  • (x, y, w) represents a point at location (x/w, y/w)
  • (x, y, 0) represents a point at infinity
  • (0, 0, 0) is not allowed

1

2

1

2

(2,1,1)

or (4,2,2)

or (6,3,3)

Convenient coordinate system to represent many useful transformations

x

y

Previous slide

Next slide

Back to first slide

View graphic version