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Weak Lensing galaxy cluster field reconstruction

Jullo, E.; Pire, S.; Jauzac, M.; Kneib, J.-P.

Weak Lensing galaxy cluster field reconstruction Thumbnail


E. Jullo

S. Pire

J.-P. Kneib


In this paper, we compare three methods to reconstruct galaxy cluster density fields with weak lensing data. The first method called FLens integrates an inpainting concept to invert the shear field with possible gaps, and a multi-scale entropy denoising procedure to remove the noise contained in the final reconstruction, that arises mostly from the random intrinsic shape of the galaxies. The second and third methods are based on a model of the density field made of a multi-scale grid of radial basis functions. In one case, the model parameters are computed with a linear inversion involving a singular value decomposition (SVD). In the other case, the model parameters are estimated using a Bayesian Monte Carlo Markov Chain optimization implemented in the lensing software LENSTOOL. Methods are compared on simulated data with varying galaxy density fields. We pay particular attention to the errors estimated with resampling. We find the multi-scale grid model optimized with Monte Carlo Markov Chain to provide the best results, but at high computational cost, especially when considering resampling. The SVD method is much faster but yields noisy maps, although this can be mitigated with resampling. The FLens method is a good compromise with fast computation, high signal-to-noise ratio reconstruction, but lower resolution maps. All three methods are applied to the MACS J0717+3745 galaxy cluster field, and reveal the filamentary structure discovered in Jauzac et al. We conclude that sensitive priors can help to get high signal-to-noise ratio, and unbiased reconstructions.


Jullo, E., Pire, S., Jauzac, M., & Kneib, J. (2014). Weak Lensing galaxy cluster field reconstruction. Monthly Notices of the Royal Astronomical Society, 437(4), 3969-3979.

Journal Article Type Article
Acceptance Date Nov 12, 2013
Online Publication Date Dec 10, 2013
Publication Date Feb 1, 2014
Deposit Date Nov 5, 2015
Publicly Available Date Nov 6, 2015
Journal Monthly Notices of the Royal Astronomical Society
Print ISSN 0035-8711
Electronic ISSN 1365-2966
Publisher Royal Astronomical Society
Peer Reviewed Peer Reviewed
Volume 437
Issue 4
Pages 3969-3979
Keywords Gravitational lensing: weak, Methods: data analysis, Galaxies: clusters: general.


Published Journal Article (2 Mb)

Copyright Statement
This article has been accepted for publication in Monthly notices of the Royal Astronomical Society. ©: 2013 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.

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