01 · The window
(vx, vy), not (v, ω)
Classic DWA searches forward speed and turn rate, like a car. A multirotor can strafe, so HOLO-DWA searches the planar velocity directly and keeps the nose, and the lidar's forward arc, on the goal.
The window is what can be reached in 0.2 s at 1 m/s²: a 5 × 5 patch of velocity space, 0.1 m/s apart (the box, bottom right).