Pair upper-left with lower-right and vice versa. Compare crossed straight references, their conditional-mean ODE trajectories, and trajectories after reflow with generated endpoint pairs. Improvement here is a toy observation, not universal one-round straightness.

Crossed reference paths   rectified ODE  ODE after reflow
p₀ samples  p₁ samples

Display stage
0.50
Mean excess path length = 0.0% velocity = Not yet averaged
Building reflow endpoint pairs and the new field…

These straight references cross at the center. They are training reference paths, not the generated ODE trajectories.