Spline subdivision schemes for convex compact sets

DOI10.1016/S0377-0427(00)00375-7zbMath0970.65016OpenAlexW1964080408MaRDI QIDQ1576453

N. Richter-Dyn, Elza M. Farkhi

Publication date: 23 October 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00375-7

zbMATH Keywords

set-valued functionsB-splinesshape preservationconvex compact setsMinkowsky sum of setsreconstruction of 3-D bodiesspline subdivision

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates ⋮ Algebraic and topological structure of some spaces of set-valued maps ⋮ Regularity and integration of set-valued maps represented by generalized Steiner points ⋮ Multi-segmental representations and approximation of set-valued functions with 1D images ⋮ Metric Fourier approximation of set-valued functions of bounded variation ⋮ Bernstein-type approximation of set-valued functions in the symmetric difference metric ⋮ Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric ⋮ The set of Hausdorff continuous functions -- the largest linear space of interval functions

Cites Work

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• Approximation of convex set-valued functions
• A practical guide to splines
• Integrals of set-valued functions
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Compact, convex sets inRⁿand a new banach lattice. I.- Theory.
• Stationary subdivision
• An Embedding Theorem for Spaces of Convex Sets

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