10 citations · 12 across the 7 of their papers we have counts for
4 papers · 2 filters
The classification of homotopy classes of bounded curvature paths
José Ayala, J. Hyam Rubinstein
A bounded curvature path is a continuously differentiable piecewise path with bounded absolute curvature that connects two points in the tangent bundle of a surface. In this…
Length minimising bounded curvature paths in homotopy classes
José Ayala
Choose two points in the tangent bundle of the Euclidean plane . In this work we characterise the immersed length minimising paths with a prescribed…
Non-uniqueness of the homotopy class of bounded curvature paths
José Ayala, Hyam Rubinstein
A bounded curvature path is a continuously differentiable piecewise path with a bounded absolute curvature that connects two points in the tangent bundle of a surface. In thi…
A geometric approach to shortest bounded curvature paths
José Ayala, David Kirszenblat, J. Hyam Rubinstein
Consider two elements in the tangent bundle of the Euclidean plane . In this work we address the problem of characterizing the paths of bounded curva…