Breakpoint Detector — Fixed Threshold

Split at a breakpoint whenever the distance between two adjacent points exceeds a fixed threshold D_max · O(n) · first-quadrant 90° FoV · 1° step scan.

turn on Place boxes, then click empty space = add · click a box = remove · drag = move
Color = cluster Gray = noise (below min size) Walls / obstacles (ground truth) Threshold circle · fixed radius D_max around pₙ₋₁ White dot = LiDAR origin · first-quadrant 90° FoV · 1° step · point inside the circle = same cluster · outside = breakpoint At far corners/walls, when point spacing exceeds D_max, even a single wall splits into several pieces (over-segmentation)