3 citations · 3 across the 2 of their papers we have counts for
3 papers · 1 filter
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic Vehicles
Christian Parkinson, Andrea L. Bertozzi, Stanley Osher
We address the problem of optimal path planning for a simple nonholonomic vehicle in the presence of obstacles. Most current approaches are either split hierarchically into global…
A Model for Optimal Human Navigation with Stochastic Effects
Christian Parkinson, David Arnold, Andrea L. Bertozzi +1
We present a method for optimal path planning of human walking paths in mountainous terrain, using a control theoretic formulation and a Hamilton-Jacobi-Bellman equation. Previous…
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman Approach
Christian Parkinson, David Arnold, Andrea L. Bertozzi +2
We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a cont…