Compensated convex transforms and geometric singularity extraction from semiconvex functions

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Compensated convex transforms and geometric singularity extraction from semiconvex functions

The upper and lower compensated convex transforms are `tight' one-sided approximations for a given function. We apply these transforms to the extraction of fine geometric singularities from general semiconvex/semiconcave functions and DC-functions in Rn (difference of convex functions). Well-kn...

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Bibliographic Details
Main Authors:	Zhang, Kewei, Crooks, Elaine, Orlando, Antonio
Format:	Article
Language:	English
Published:	Zhongguo Kexue Zazhishe (Science China Press) 2016
Subjects:	Compensated convex transforms ridge transform valley transform edge transform convex function semiconvex function semiconcave function linear modulus general modulus DC-functions singularity extraction minimal bounding sphere local approximation local regularity singularity landscape
Online Access:	https://eprints.nottingham.ac.uk/44857/

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