2 papers
math.OC2016
Compensated Convex Transforms and Geometric Singularity Extraction from Semiconvex Functions
Kewei Zhang, Elaine Crooks, Antonio Orlando
We apply upper and lower compensated convex transforms, which are `tight' one-sided approximations of a given function, to the extraction of fine geometric singularities from semic…
math.MG2016
Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations
Kewei Zhang, Elaine Crooks, Antonio Orlando
We introduce Lipschitz continuous and geometric approximation and interpolation methods for sampled bounded uniformly continuous functions over compact sets and over comp…