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HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere

  • Authors: K. M. Górski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelmann

Górski et al. 2005 The Astrophysical Journal 622 759.

  • Provider: AAS Journals

Caption: Fig. 3.

Orthographic view of the HEALPix partition of the sphere. The overplot of equator and meridians illustrates the octahedral symmetry of HEALPix. Light gray shading shows one of the 8 (4 north and 4 south) identical polar base‐resolution pixels. Dark gray shading shows one of the 4 identical equatorial base‐resolution pixels. Moving clockwise from the top left panel, the grid is hierarchically subdivided with the grid resolution parameter equal to ﹩N_{\mathrm{side}\,}=1﹩, 2, 4, 8, and the corresponding total number of pixels equal to ﹩N_{\mathrm{pix}\,}=12\times N^{2}_{\mathrm{side}\,}=12﹩, 48, 192, 768. All pixel centers are located on ﹩N_{\mathrm{ring}\,}=4N_{\mathrm{side}\,}-1﹩ rings of constant latitude. Within each panel the areas of all pixels are identical.

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