Compensated convexity on bounded domains, mixed Moreau envelopes and computational methods

DOI10.1016/j.apm.2021.01.040zbMath1481.90258arXiv1907.02286OpenAlexW3128982457MaRDI QIDQ2243417

Kewei Zhang, Antonio Orlando, Elaine C. M. Crooks

Publication date: 11 November 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02286

zbMATH Keywords

scattered data approximationMoreau envelopescompensated convex transformscomputation of Moreau envelopesproximity hullshape interrogation

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices

Uses Software

• Qhull
• na24

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Fast Moreau envelope computation I: Numerical algorithms
• Compensated convexity and its applications
• A remark on regularization in Hilbert spaces
• On convex envelopes and regularization of non-convex functionals without moving global minima
• Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations
• Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function
• COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION
• Image Processing and Mathematical Morphology
• The quickhull algorithm for convex hulls
• Variational Analysis
• Fast Legendre–Fenchel Transform and Applications to Hamilton–Jacobi Equations and Conservation Laws
• What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
• Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data, and Inpainting
• Compensated convexity and Hausdorff stable geometric singularity extractions
• Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds
• Proximité et dualité dans un espace hilbertien