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math.NA2022★ 2 cited
The Spherical Cap Discrepancy of HEALPix Points
Damir Ferizović, Julian Hofstadler, Michelle Mastrianni
In this paper we show that the spherical cap discrepancy of the point set given by centers of pixels in the HEALPix tessellation (short for Hierarchical, Equal Area and iso-Latitud…
math.NA2022★ 4 cited
Spherical cap discrepancy of perturbed lattices under the Lambert projection
Damir Ferizović
Given any full rank lattice and a natural number N , we regard the point set given by the scaled lattice intersected with the unit square under the Lambert map to the unit sphere,…