Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds

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Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds

We apply compensated convex transforms to define a multiscale Hausdorff stable method to extract intersections between smooth compact manifolds represented by their characteristic functions or as point clouds embedded in Rn. We prove extraction results on intersections of smooth compact manifolds an...

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Bibliographic Details
Main Authors:	Zhang, Kewei, Orlando, Antonio, Crooks, Elaine
Format:	Article
Published:	World Scientific Publishing 2015
Subjects:	Compensated convex transforms; mathematical morphology; non-flat morphological operators; characteristic function; point clouds; Hausdorff–Lipschitz continuity; locality property; surface-to-surface intersection; transversal intersections; random samples.
Online Access:	https://eprints.nottingham.ac.uk/40900/

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