Hausdorff and Gromov-Hausdorff stable subsets of the medial axis

André Lieutier, Mathijs Wintraecken

In this paper we introduce a pruning of the medial axis called the $(\lambda ,\alpha )$-medial axis (${\text{ax}}_{\lambda }^{\alpha }$). We prove that the $(\lambda ,\alpha )$-medial axis of a set $K$ is stable in a Gromov…