Homogeneous line equation

Implicit line equation in 2D: (n, q-p) = 0,

n = 2D vector, p = 2D point on the line.

Goal: rewrite in homogeneous coordinates.

z=1

z

x

y

p

n

N

2D point corresponds

to a 3D line through origin;

2D line corresponds

to a plane through origin

In other words, the 2D

line is intersection of a

plane through origin with

the plane z=1.

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