Compensated convex transforms and geometric singularity extraction from semiconvex functions

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/

Internet

https://eprints.nottingham.ac.uk/44857/

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