Projective Geometry Apr 2026

One of the most beautiful "deep" features of projective geometry is the .

In the Euclidean geometry taught in school, parallel lines never meet. Projective geometry challenges this by adding a "point at infinity". projective geometry

Towards Geometric Deep Learning I: On the Shoulders of Giants One of the most beautiful "deep" features of

: To handle this mathematically, we add an extra dimension. Instead of , we are looking at a point at infinity. 2. Duality: Points and Lines are One Towards Geometric Deep Learning I: On the Shoulders

Projective geometry isn't just abstract theory; it's the backbone of how we perceive and process visual data.

In a projective plane, any two points define a unique line, and any two lines intersect at a unique point.

: Think of standing on a long, straight railroad. Even though the tracks are parallel, they appear to merge at a single point on the horizon.