Intersection of two lines homogeneous coordinates

1. What is the line in homogeneous coordinates joining the inhomogeneous points?
2. How do you find homogeneous coordinates?
3. Can homogeneous coordinate capture points of infinity?

What is the line in homogeneous coordinates joining the inhomogeneous points?

In homogeneous coordinates the line becomes Y=0 which yields the solution (X,0,0), the ideal point associated with the horizontal direction.

How do you find homogeneous coordinates?

Given a point (x, y) on the Euclidean plane, for any non-zero real number Z, the triple (xZ, yZ, Z) is called a set of homogeneous coordinates for the point. By this definition, multiplying the three homogeneous coordinates by a common, non-zero factor gives a new set of homogeneous coordinates for the same point.

Can homogeneous coordinate capture points of infinity?

Ideal Points or Points at Infinity

As mentioned at the very beginning of this page, homogeneous coordinates can easily capture the concept of infinity.