Uniform spherical grids via equal area projection from the cube to the sphere

DOI10.1016/J.CAM.2011.07.009zbMath1231.65044OpenAlexW2151523571MaRDI QIDQ654127

Gerlind Plonka-Hoch, Daniela Roşca

Publication date: 21 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.07.009

zbMATH Keywords

equal area projectionhierarchical griduniform spherical gridrefinable grid

Mathematics Subject Classification ID

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

Related Items (7)

GENERALIZED ORTHONORMAL PIECEWISE CONSTANT WAVELET BASES WITH 1–4 SPLITTING ⋮ An octahedral equal area partition of the sphere and near optimal configurations of points ⋮ Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere ⋮ Computational stability investigations for a highly symmetric system: the pressurized spherical membrane ⋮ An area preserving projection from the regular octahedron to the sphere ⋮ Chebyshev center and inscribed balls: properties and calculations ⋮ Covering a set by a convex compactum: error estimates and computation

Uses Software

• Healpix

Cites Work

• Uniform and refinable grids on elliptic domains and on some surfaces of revolution
• A partition of the unit sphere into regions of equal area and small diameter
• Map Projections
• On the sum of distances betweenn points on a sphere

This page was built for publication: Uniform spherical grids via equal area projection from the cube to the sphere