Equidistributed icosahedral configurations on the sphere

DOI10.1016/j.camwa.2017.04.007zbMath1384.65023OpenAlexW2628352827MaRDI QIDQ1704999

Peng Zhang

Publication date: 14 March 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.04.007

zbMATH Keywords

azimuthal projection methodequidistributed icosahedral configurationsRiesz potential energies

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions

Uses Software

• Healpix

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved smoothness and homogeneity of icosahedral grids using the spring dynamics method
• Finite elements on the sphere
• Mathematical problems for the next century
• Minimal discrete energy on the sphere
• Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy
• Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling
• Discrepancy, separation and Riesz energy of finite point sets on the unit sphere
• Mesh ratios for best-packing and limits of minimal energy configurations
• Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs
• $L^p$ Bernstein estimates and approximation by spherical basis functions
• Icosahedral Discretization of the Two-Sphere
• Asymptotics for minimal discrete energy on the sphere
• The Covering Radius of Randomly Distributed Points on a Manifold
• A Comparison of Popular Point Configurations on $\mathbb{S}^2$

This page was built for publication: Equidistributed icosahedral configurations on the sphere