Vallis, ZM;
Wallis, CGR;
Kitching, TD;
(2018)
On the Effect of Projections on Convergence Peak Counts and Minkowski Functionals.
Astronomy and Computing
, 24
pp. 84-96.
10.1016/j.ascom.2018.06.004.
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Abstract
The act of projecting data sampled on the surface of the celestial sphere onto a regular grid on the plane can introduce error and a loss of information. This paper evaluates the effects of different planar projections on non-Gaussian statistics of weak lensing convergence maps. In particular we investigate the effect of projection on peak counts and Minkowski Functionals (MFs) derived from convergence maps and the suitability of a number of projections at matching the peak counts and MFs obtained from a sphere. We find that the peak counts derived from planar projections consistently overestimate the counts at low SNR thresholds and underestimate at high SNR thresholds across the projections evaluated, although the difference is reduced when smoothing of the maps is increased. In the case of the Minkowski Functionals, is minimally affected by projection used, while projected and are consistently overestimated with respect to the spherical case.
| Type: | Article |
|---|---|
| Title: | On the Effect of Projections on Convergence Peak Counts and Minkowski Functionals |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.ascom.2018.06.004 |
| Publisher version: | https://doi.org/10.1016/j.ascom.2018.06.004 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Weak lensing, Mass reconstruction, Peak statistics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10060557 |
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