GCS Mathematical Framework Demo

Introduction to the core mechanics of Graphs of Convex Sets, including convex decomposition and the shortest path formulation. GCS Mathematical Framework Demo turns that idea into something you can manipulate directly and watch respond.

Introduction to the core mechanics of Graphs of Convex Sets, including convex decomposition and the shortest path formulation. It focuses on Convex Decomposition, Perspective Functions, Mixed-Integer Programming, Convex Hull from the “The GCS Mathematical Framework” section.

You can drag elements directly on the canvas; the “Reset Demo” button 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.

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 “The GCS Mathematical Framework” 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.

You'll build intuition for Convex Decomposition, Perspective Functions, Mixed-Integer Programming, Convex Hull — 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.