Medial Axis in Pseudo-Euclidean Spaces

TL;DR

This paper explores the concept of the medial axis within pseudo-Euclidean spaces, extending existing theories to new geometric contexts and assessing their applicability.

Contribution

It adapts and tests the medial axis theory from Euclidean spaces to pseudo-Euclidean spaces, analyzing its properties and potential singularities.

Findings

Medial axis concepts can be extended to pseudo-Euclidean spaces.

The feasibility of Euclidean medial axis methods in pseudo-Euclidean contexts is evaluated.

New insights into singularities in pseudo-Euclidean spaces are provided.

Abstract

We investigate the notion of the medial axis for pseudo-Euclidean spaces. For most of the article, we follow the path of Birbrair and Denkowski's article "Medial Axis and Singularities", checking its feasibility in the new context.