Abstract.
We will discuss the unique, up to local isometries, contact sub-Riemannian structure on the group SE(2) of proper motions of the plane (aka group of rototranslations). The following questions will be addressed:
– geodesics,
– their local and global optimality,
– cut time, cut locus, and spheres,
– infinite geodesics,
– bicycle transform and relation of geodesics with Euler elasticae,
– group of isometries and homogeneous geodesics,
– applications to imaging and robotics.

Автор: Yu. Sachkov, A. Ardentov

Дата: 29th January, 2021

Время: 18:00

Место:

Zoom

Презентация: Download