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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. 2.

Several possible equal‐area isolatitude tessellations of the sphere, which can support a hierarchical tree for the further subdivision of each large base‐resolution pixel. Six variants of such a tessellation are shown here for several values of the grid parameters Nθ and Nφ. θ refers to the colatitude and φ to the longitude. For each panel two projections are shown: the top one is orthographic, the bottom one is cylindrical. θ* defines the line of constant colatitude that separates the equatorial region from the northern polar region. This is shown by the top curve in the orthographic plot; also shown is the corresponding curve separating the equatorial and southern polar regions, as well as the equator. The HEALPix implementation is described by ﹩N_{\theta }=3﹩ and ﹩N_{\phi }=4﹩.

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