94 citations · 287 across the 29 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.NA2016
Optimal Paths for Variants of the 2D and 3D Reeds-Shepp Car with Applications in Image Analysis
Remco Duits, Stephan P. L. Meesters, Jean-Marie Mirebeau +1
We present a PDE-based approach for finding optimal paths for the Reeds-Shepp car. In our model we minimize a (data-driven) functional involving both curvature and length penalizat…
cs.CG2016★ 51 cited
Global Minimum for a Finsler Elastica Minimal Path Approach
Da Chen, Jean-Marie Mirebeau, Laurent D. Cohen
In this paper, we propose a novel curvature-penalized minimal path model via an orientation-lifted Finsler metric and the Euler elastica curve. The original minimal path model comp…