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Variational Methods for Discrete Geometric Functionals (Q3300536)

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Language	Label	Description	Also known as
English	Variational Methods for Discrete Geometric Functionals	scientific article

Statements

scholarly article

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Variational Methods for Discrete Geometric Functionals (English)

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Henrik Schumacher

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Handbook of Variational Methods for Nonlinear Geometric Data

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publication date

29 July 2020

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-31351-7_5

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Extensional \textit{Elastica} in large deformation as \(\Gamma \)-limit of a discrete 1D mechanical system

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Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof

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Critical points and curvature for embedded polyhedra

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Uniform convergence of discrete curvatures from nets of curvature lines

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Sobolev metrics on shape space of surfaces

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Almost Local Metrics on Shape Space of Hypersurfaces in<i>n</i>-Space

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Curvature weighted metrics on shape space of hypersurfaces in \(n\)-space

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Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics

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Constructing reparameterization invariant metrics on spaces of plane curves

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Why Use Sobolev Metrics on the Space of Curves

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Minimal surfaces from circle patterns: geometry from combinatorics

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Discrete differential geometry

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On the angular defect of triangulations and the pointwise approximation of curvatures

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Epi-convergence of discrete elastica

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Completeness properties of Sobolev metrics on the space of curves

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GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

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On the curvature of piecewise flat spaces

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Restricted delaunay triangulations and normal cycle

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Second fundamental measure of geometric sets and local approximation of curvatures

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A Glimpse into Discrete Differential Geometry

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An introduction to \(\Gamma\)-convergence

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Regularity of Minimal Surfaces

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Solution of the Problem of Plateau

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The discrete Plateau Problem: Algorithm and numerics

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The discrete plateau problem: Convergence results

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Euler elastica as a Γ-limit of discrete bending energies of one-dimensional chains of atoms

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Convergence of curvatures in secant approximations

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Boundary regularity and embedded solutions for the oriented Plateau problem

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On the convergence of metric and geometric properties of polyhedral surfaces

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On the numerical approximation of unstable minimal surfaces with polygonal boundaries

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On the Gamma-convergence of some polygonal curvature functionals

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On surface normal and Gaussian curvature approximations given data sampled from a smooth surface

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Properties of Sobolev-type metrics in the space of curves

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Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms

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Riemannian geometries on spaces of plane curves

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An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

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The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data

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Generalized curvatures

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Computing Discrete Minimal Surfaces and Their Conjugates

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The discrete Douglas problem: convergence results

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Lipschitz conformal immersions from degenerating Riemann surfaces with L2-bounded second fundamental forms

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Variational Analysis

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Variational convergence of discrete minimal surfaces

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Discrete Solution of the Plateau Problem and its Convergence

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On discrete Dirichlet and Plateau problems

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Identifiers

10.1007/978-3-030-31351-7_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3300536

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