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math.MG2017
Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data and Inpainting
Kewei Zhang, Elaine Crooks, Antonio Orlando
This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Com…
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…
math.MG2015
Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared Distance Function
Kewei Zhang, Elaine Crooks, Antonio Orlando
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 , and prov…