Computing Weak Distance between the 2-Sphere and Its Nonsmooth Approximations

DOI10.1137/23m1571216arXiv2304.06340OpenAlexW4391353441MaRDI QIDQ6154969

Kazuki Koga

Publication date: 16 February 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.06340

zbMATH Keywords

Sobolev normsurface measuregraphics processing unitnonuniform fast Fourier transformsurface comparisonicosahedral discretization

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Length, area, volume, other geometric measure theory (28A75) Surfaces in Euclidean and related spaces (53A05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• Conformal Wasserstein distances: comparing surfaces in polynomial time
• Theory of Bessel potentials. I
• A geometric nonuniform fast Fourier transform
• A Lagrangian particle method with remeshing for tracer transport on the sphere
• The type 3 nonuniform FFT and its applications
• Symmetric quadrature rules on a triangle
• Quadrilateral mesh generation. I: Metric based method
• Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics
• A surface moving mesh method based on equidistribution and alignment
• Fast Fourier transforms of piecewise polynomials
• Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform
• Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights
• The Exponentially Convergent Trapezoidal Rule
• Multiscale Modeling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams
• Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
• Geometric Properties of the Icosahedral-Hexagonal Grid on the Two-Sphere
• Icosahedral Discretization of the Two-Sphere
• Fast Fourier Transforms for Nonequispaced Data
• Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements
• Accelerating the Nonuniform Fast Fourier Transform
• An Algorithm for Optimal Transport between a Simplex Soup and a Point Cloud
• Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation
• Classical Fourier Analysis
• Modern Fourier Analysis
• Fourier Restriction, Decoupling, and Applications
• A Parallel Nonuniform Fast Fourier Transform Library Based on an “Exponential of Semicircle" Kernel
• Fourier Analysis and Hausdorff Dimension
• Finite Difference Approximation for Pricing the American Lookback Option
• Optimal Transport