Skip to content

Latest commit

 

History

History
26 lines (18 loc) · 1.05 KB

404.md

File metadata and controls

26 lines (18 loc) · 1.05 KB
permalink layout title date
/404.html
single
Bezier Curves for Model Predictive Control
20XX-X-X 20:10:33 -0000

Bezier Curves define a polynomial path via control points.

Handles as Velocity

However, it's also possible to think of bezier curves as defining kinematic systems.

If the handles on a cubic bezier curve represent the starting and ending velocity of a trajectory, then the second derivative of the curve is the acceleration needed to navigate between those two states.

<script type="text/javascript" src="../../assets/js/paper-full.min.js"></script> <script type="text/paperscript" src="../../assets/js/Trajectories/Trajectory.js" canvas="trajectory1"></script>

Lateral Association

Here's something entirely unrelated.

<script type="text/paperscript" src="../../assets/js/Trajectories/DragSphere.js" canvas="trajectory2"></script>