Compensated convexity, multiscale medial axis maps and sharp regularity of the squared-distance function

In this paper we introduce a new stable mathematical model for locating and measuring the medial axis of geometric objects, called the quadratic multiscale medial axis map of scale λ, and provide a sharp regularity result for the squared-distance function to any closed nonempty subset K of Rn. Our r...

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Bibliographic Details
Main Authors: Zhang, Kewei, Crooks, Elaine, Orlando, Antonio
Format: Article
Published: Society for Industrial and Applied Mathematics 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/40893/