The spherical cap discrepancy of HEALPix points

  • Damir Ferizović (Speaker)

Activity: Talk or presentationTalk at workshop, seminar or courseScience to science


In this talk I will present an algorithm well known in the Astrophysics and Cosmology community: HEALPix, short for "Hierarchical, Equal Area and iso-Latitude Pixelation," which divides the two dimensional sphere into 12 rectangular shapes (base pixel) of equal area, and allows for further subdivision of each pixel into four smaller, equal area subpixel mimicking the simplicity of the unit square in many ways. This algorithm, introduced by Górski et al., also comes with a projection to the plane that up to a constant preserves area. HEALPix also distributes -many points on by placing them at centers of pixel of the current level of subdivision. The spherical cap discrepancy of these points will be proven to be of order N^(-1/2), via recycling methods introduced by Aistleitner, Brauchart and Dick. This is a joint work with Julian Hofstadler and Michelle Mastrianni.
Period18 Aug 2021
Event titlePoint Distributions Webinar - Spring 2021
Event typeSeminar
Degree of RecognitionInternational