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

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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:	multiscale medial axis map compensated convex transforms Hausdorff stability squared-distance transform sharp regularity Lusin theorem
Online Access:	https://eprints.nottingham.ac.uk/40893/

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