Triangles are Minimal:
Triangles are determined by 3 points or 3 edges
We can define a triangle in terms of three points, for example:
(x1, y1), (x2, y2), (x3, y3)
Or we can define a triangle interm of its three edges, for example:
A1 x + B1 y + C1 = 0,
A2 x + B2 y + C2 = 0,
A3 x + B3 y + C3 = 0
Why does it seem to take more parameters to represent the edges than the points?
(Hint: Edge equations are Homogeneous)
As a result, triangles are mathematically very simple. The math involved in scan converting triangles
involves only simple linear equations.
| |
