3 papers
math.OC2021
A Gradient Descent Method for The Dubins Traveling Salesman Problem
David Kirszenblat, José Ayala, J. Hyam Rubinstein
We propose a combination of a bounding procedure and gradient descent method for solving the Dubins traveling salesman problem, that is, the problem of finding a shortest curvature…
math.DG2021
On the Blaschke rolling disk theorem
José Ayala
The Blaschke rolling disk theorem is a classical inclusion principle in differential geometry. This states that a planar convex domain whose boundary is a curve of class with…
math.MG2020
Census of bounded curvature paths
Jean Díaz, José Ayala
A bounded curvature path is a continuously differentiable piece-wise path with bounded absolute curvature connecting two points in the tangent bundle of a surface. These path…