[HTML][HTML] Uniform spherical grids via equal area projection from the cube to the sphere
We construct an area preserving map from a cube to the unit sphere S2, both centered at the
origin. More precisely, each face Fi of the cube is first projected to a curved square Si of the
same area, and then each Si is projected onto the sphere by inverse Lambert azimuthal
equal area projection, with respect to the points situated at the intersection of the coordinate
axes with S2. This map is then used to construct uniform and refinable grids on a sphere,
starting from any grid on a square.
origin. More precisely, each face Fi of the cube is first projected to a curved square Si of the
same area, and then each Si is projected onto the sphere by inverse Lambert azimuthal
equal area projection, with respect to the points situated at the intersection of the coordinate
axes with S2. This map is then used to construct uniform and refinable grids on a sphere,
starting from any grid on a square.
We construct an area preserving map from a cube to the unit sphere S2, both centered at the origin. More precisely, each face Fi of the cube is first projected to a curved square Si of the same area, and then each Si is projected onto the sphere by inverse Lambert azimuthal equal area projection, with respect to the points situated at the intersection of the coordinate axes with S2. This map is then used to construct uniform and refinable grids on a sphere, starting from any grid on a square.
Elsevier
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