Randomly selecting points inside a triangle
9 hours ago
- #barycentric-coordinates
- #random-points
- #triangle
- Barycentric coordinates can be used to generate random points inside a triangle by generating random numbers α, β, and γ, normalizing them, and combining them with the vertices.
- The accept-reject method involves drawing a rectangle around the triangle, generating points within the rectangle, and discarding those outside the triangle. It is efficient but has variable runtime.
- The accept-flip method is a variation of accept-reject that uses a parallelogram formed by the triangle and its flipped copy, ensuring no points are wasted by flipping rejected points back into the original triangle.