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An area preserving projection from the regular octahedron to the sphere

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Publication:1759054
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DOI10.1007/S00025-012-0286-2zbMath1260.86015OpenAlexW2110010302MaRDI QIDQ1759054

Daniela Roşca, Gerlind Plonka-Hoch

Publication date: 19 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0286-2


zbMATH Keywords

equal area projectionhierarchical griduniform spherical gridrefinable grid


Mathematics Subject Classification ID

Computational methods for problems pertaining to geophysics (86-08) Geodesy, mapping problems (86A30) Computational methods for problems pertaining to astronomy and astrophysics (85-08)


Related Items (2)

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


Uses Software

  • Healpix



Cites Work

  • Uniform and refinable grids on elliptic domains and on some surfaces of revolution
  • Uniform spherical grids via equal area projection from the cube to the sphere
  • 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




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