Stability and homotopy of a subset of the medial axis

Abstract

Medial is known to be unstable for non smooth objects. For an open set O, we define the Weak Feature Size, wfs, minimum distance between Oc and the critical points of the function distance to Oc. We introduce the Lambda-Medial Axis of O, Mλ, a subset of the Medial of O which captures the Homotopy type of O when λ