Real Algebraic and Analytic Geometry

Preprint Server

Previous   Next
40. Frédéric Chazal, Rémi Soufflet:
Stability and finiteness properties of Medial Axis and Skeleton.

e-mail: ,

Submission: 2003, March 27.

The medial axis is a geometric object associated to any bounded open set in $\R^n$ which has various applications in computer science. We study it from a mathematical point of view. We give some results about its geometrical structure when the open set is subanalytic and we prove that it is stable under $\core^2$-perturbations when the open set is bounded by a an hypersurface with positive local feature size.

Mathematics Subject Classification (2000): 32B20, 65D17, 65D18, 52C45.

Keywords and Phrases: medial axis, subanalytic sets, stability problems, shape modeling.

Full text, 19p.: ps.gz 200k, pdf 214k.

Server Home Page