Three-dimensional shapelets and an automated classification scheme for dark matter haloes

Details Three-dimensional shapelets and an automated classification scheme for dark matter haloes Three-dimensional shapelets and an automated classification scheme for dark matter haloes

2011-12-19

arxiv.org/abs/1112.4532v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

19 pages, 11 figures, accepted for publication in MNRAS

Scientific paper

We extend the two-dimensional Cartesian shapelet formalism to d-dimensions. Concentrating on the three-dimensional case, we derive shapelet-based equations for the mass, centroid, root-mean-square radius, and components of the quadrupole moment and moment of inertia tensors. Using cosmological N-body simulations as an application domain, we show that three-dimensional shapelets can be used to replicate the complex sub-structure of dark matter halos and demonstrate the basis of an automated classification scheme for halo shapes. We investigate the shapelet decomposition process from an algorithmic viewpoint, and consider opportunities for accelerating the computation of shapelet-based representations using graphics processing units (GPUs).

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