Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds

DOI10.1142/S0218202515500207zbMath1353.49027MaRDI QIDQ5247097

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

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

random samplescharacteristic functionconvex envelopemathematical morphologyMoreau envelopepoint cloudstransversal intersectionssurface-to-surface intersectioncompensated convex transformsHausdorff-Lipschitz continuitynon-flat morphological operators

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Singularities of surfaces or higher-dimensional varieties (14J17) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17) Stability theory for manifolds (58K25)

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Cites Work

• Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
• Compensated convexity and its applications
• A remark on regularization in Hilbert spaces
• An overview of morphological filtering
• Characterization of the subdifferentials of convex functions
• User’s guide to viscosity solutions of second order partial differential equations
• What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
• Proximité et dualité dans un espace hilbertien
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