Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces
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Publication:6175128
DOI10.1137/22m1536510zbMath1527.53092arXiv2212.11536OpenAlexW4385494071MaRDI QIDQ6175128
Michael Hecht, Unnamed Author, Unnamed Author, Ivo F. Sbalzarini, Unnamed Author
Publication date: 17 August 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.11536
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Applications of differential geometry to data and computer science (53Z50)
Cites Work
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- Numerical treatment of a geometrically nonlinear planar Cosserat shell model
- High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs
- Numerical Ricci-DeTurck flow
- Level set equations on surfaces via the closest point method
- Solving eigenvalue problems on curved surfaces using the closest point method
- PDE's on surfaces -- a diffusive interface approach
- Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A practical guide to splines
- Motion by intrinsic Laplacian of curvature
- Semi-implicit level set methods for curvature and surface diffusion motion
- An Eulerian formulation for solving partial differential equations along a moving interface
- Delaunay refinement algorithms for triangular mesh generation
- Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory
- Level set methods and dynamic implicit surfaces
- Generalized inverses. Theory and applications.
- An improved level set method for incompressible two-phase flows
- High-order methods for computing distances to implicitly defined surfaces
- A simple embedding method for solving partial differential equations on surfaces
- Fourth order partial differential equations on general geometries
- Curvature formulas for implicit curves and surfaces
- On multivariate polynomial interpolation
- Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
- Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
- Computation of geometric partial differential equations and mean curvature flow
- Finite elements on evolving surfaces
- Computational Aspects of Polynomial Interpolation in Several Variables
- Characteristic Classes. (AM-76)
- An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
- Multivariate Approximation in Downward Closed Polynomial Spaces
- Mean Curvature, The Laplacian, and Soap Bubbles
- A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation
- Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method
- DUNE — The Distributed and Unified Numerics Environment
- Simple computation of reaction–diffusion processes on point clouds
- A diffuse-interface approximation for surface diffusion including adatoms
- Multivariate polynomial approximation in the hypercube
- Finite element methods for surface PDEs
- An Infinite Dimensional Version of Sard's Theorem
- Some Interpretations of Abstract Linear Dependence in Terms of Projective Geometry
- The measure of the critical values of differentiable maps
- Numerical Analysis
- Riemannian geometry and geometric analysis