Communications in Analysis and Geometry
Volume 26 (2018)
A Geometric approach to shortest bounded curvature paths
Pages: 679 – 697
We present a geometric proof for the classification of length minimisers in spaces of planar bounded curvature paths. Our methods can be adapted without much effort to classify length minimisers in spaces of bounded curvature paths in other surfaces. The main result in this note fills a gap by furnishing a geometric proof for a problem in geometry that hither to was missing from the literature.
bounded curvature paths, Dubins paths, path optimisation
2010 Mathematics Subject Classification
Primary 49Q10. Secondary 51E99, 68R99, 90C47.
Received 10 September 2015
Published 6 September 2018