#Arc-Length Parameterization

Articles: 2

1. Frenet Arc-Length Conversion

   An interactive examination of how closely the oriented arc-length increment of a vehicle trajectory matches the reference-path arc-length increment under different vehicle states.

2. Frenet Vehicle Kinematics

   Defines the vehicle's Frenet state through the closest-point projection of the rear-axle center, derives a three-state time-domain model and a two-state reference-path-arc-length-domain model under the no-sideslip kinematic assumption, and explains arc-length conversion, the coordinate validity domain, and sign conventions for reversing.