Teapot engineering and physics
Artificial Potential Fields - The Secant Method
Motivation Artificial potential fields (APFs) offer an interesting approach to path planning. The use of “fake forces” makes it intuitive to combine the effects of different elements in the planning scene. However, a common a drawback is the creation of local minima, which prevent guaranteed convergence on the target. Mathematics The topograph... Read more 02 Feb 2023 - 1 minute read
Particle Catching
Motivation The challenge involves tracking a target particle and planning a path which brings the player into contact with the target at a particular time $t_f$. Investigation Trivial approach The trivial solution is to simply command the particle to prosecute the target’s current position, without extrapolating its behavior into the future.... Read more 21 Oct 2022 - 4 minute read