Sérsiclets - a matched filter extension of Shapelets for weak lensing studies

Authors: Ngan, W.; Van Waerbeke, L.¹; Mahdavi, A.²; Heymans, C.; Hoekstra, H.

Source: Monthly Notices of the Royal Astronomical Society, Volume 396, Number 2, June 2009 , pp. 1211-1216(6)

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Abstract:

The precision study of dark matter using weak lensing by large-scale structure is strongly constrained by the accuracy with which one can measure galaxy shapes. Several methods have been devised but none has demonstrated the ability to reach the level of precision required by future weak lensing surveys. In this paper, we explore new avenues to the existing `Shapelets' approach, combining a priori knowledge of the galaxy profile with the power of orthogonal basis function decomposition. This paper discusses the new issues raised by this matched filter approach and proposes promising alternatives to shape measurement techniques. In particular, it appears that the use of a matched filter (e.g. Sérsic profile) restricted to elliptical radial fitting functions resolves several well-known Shapelet issues.

Keywords: gravitational lensing; methods: numerical; techniques: image processing; dark matter

Document Type: Research article

DOI: http://dx.doi.org/10.1111/j.1365-2966.2009.14787.x

Affiliations: 1: University of British Columbia, 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada 2: Department of Physics and Astronomy, University of Victoria, Victoria, BC V8P 5C2, Canada

Publication date: 2009-06-01