Interactive Demo
GCS Trajectory Optimization Demo
GCS Trajectory Optimization Demo is a free, interactive learning demo from the Motion Planning with Graphs of Convex Sets course on Lykke. It helps you build intuition for Dynamic Feasibility, UAV Navigation, Manipulator Planning, Footstep Planning. Play with it directly in your browser — it features 5 buttons, direct drag interaction and a live visual canvas. This demo lives in the “Applications and Performance in Robotics” section of the course.

How to use this demo
- Click and drag directly on the canvas to manipulate the scene.
- Use the “Global GCS”, “Discrete Only”, “Quadratic”, “Cubic” buttons to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Dynamic Feasibility
- UAV Navigation
- Manipulator Planning
- Footstep Planning
Frequently asked questions
What does the GCS Trajectory Optimization Demo demo do?
GCS Trajectory Optimization Demo Trajectory Convex Set (Xᵢ) Control Points Drag the Safe Zones (Green) or the Start/End points to see the global GCS optimization update in real-time. GCS Trajectory Optimization Demo lets you explore this hands-on instead of only reading about it.
What Motion Planning with Graphs of Convex Sets concept does GCS Trajectory Optimization Demo teach?
Practical demonstrations of GCS applied to UAVs, robotic arms, and walking robots. It focuses on Dynamic Feasibility, UAV Navigation, Manipulator Planning, Footstep Planning from the “Applications and Performance in Robotics” section.
What can I control in GCS Trajectory Optimization Demo?
You can drag elements directly on the canvas; the “Global GCS”, “Discrete Only”, “Quadratic”, “Cubic” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does GCS Trajectory Optimization Demo fit into the Motion Planning with Graphs of Convex Sets course?
This course explores the Graphs of Convex Sets (GCS) framework, a revolutionary approach to motion planning that unifies discrete graph search with continuous trajectory optimization. It addresses the fundamental challe… This demo is the interactive piece for the “Applications and Performance in Robotics” section. Open the full Motion Planning with Graphs of Convex Sets course wiki at https://www.getlykke.com/explore/public/motion-planning-with-graphs-of-convex-9ef465dc-e6a7-499a-91ea-ab90b928956f for notes, flashcards, quizzes and the other demos.
What will I understand better after using GCS Trajectory Optimization Demo?
You'll build intuition for Dynamic Feasibility, UAV Navigation, Manipulator Planning, Footstep Planning — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Motion Planning with Graphs of Convex Sets alone.
From the Motion Planning with Graphs of Convex Sets course
This interactive demo is part of the Applications and Performance in Robotics section. Explore the full Motion Planning with Graphs of Convex Sets course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Motion Planning with Graphs of Convex Sets course →