FAst STatistics for weak Lensing (FASTLens): fast method for weak lensing statistics and map making

作者: S. Pires , J.-L. Starck , A. Amara , R. Teyssier , A. Réfrégier

DOI: 10.1111/J.1365-2966.2009.14625.X

关键词: Frequency domainSpectral densityInpaintingDark matterPhysicsWeak gravitational lensingStarsBispectrumCosmologyStatistics

摘要: With increasingly large data sets, weak lensing measurements are able to measure cosmological parameters with ever-greater precision. However, this increased accuracy also places greater demands on the statistical tools used extract available information. To date, majority of analyses use two-point statistics cosmic shear field. These can be either studied directly using correlation function or in Fourier space, power spectrum. But analysing inevitably involves masking out regions, for example remove bright stars from Masking is common practice but gaps need proper handling. In paper, we show how an inpainting technique allows us properly fill these only NlogN operations, leading a new image which compute straightforwardly and very good both spectrum bispectrum. We then propose method bispectrum polar FIT algorithm, has main advantage avoiding any interpolation domain. Finally, dark matter mass map reconstruction observations, integrates concept. A range examples based 3D N-body simulations illustrates results.

参考文章(80)
Jean-Luc Starck, Michael Elad, David Donoho, Redundant Multiscale Transforms and Their Application for Morphological Component Separation Advances in Imaging and Electron Physics. ,vol. 132, pp. 287- 348 ,(2004) , 10.1016/S1076-5670(04)32006-9
Eric Hivon, Krzysztof M. Gorski, C. Barth Netterfield, Brendan P. Crill, Simon Prunet, Frode Hansen, MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets arXiv: Astrophysics. ,(2001) , 10.1086/338126
F. Bernardeau, B. Jain, B. Fort, T. Erben, T. Erben, P. Schneider, L. Van Waerbeke, Y. Mellier, R. Maoli, Cosmic shear analysis in 50 uncorrelated VLT fields. Implications for $\Omega_0$, $\sigma_8$ Astronomy and Astrophysics. ,vol. 368, pp. 766- 775 ,(2001) , 10.1051/0004-6361:20010058
J. E. Ruhl, S. Prunet, S. Prunet, F. Piacentini, C. B. Netterfield, B. P. Crill, B. P. Crill, A. Iacoangeli, T. Montroy, T. Montroy, Philip Daniel Mauskopf, Enzo Pascale, P. de Bernardis, G. De Troia, A. E. Lange, J. R. Bond, P. Mason, C. R. Contaldi, A. Melchiorri, A. H. Jaffe, Peter A. R. Ade, M. Giacometti, W. C. Jones, K. Ganga, J. J. Bock, G. Polenta, G. Romeo, A. Boscaleri, S. Masi, J. Borrill, D. Pogosyan, D. Pogosyan, E. Hivon, V. V. Hristov, Improved Measurement of the Angular Power Spectrum of Temperature Anisotropy in the Cosmic Microwave Background from Two New Analyses of BOOMERANG Observations The Astrophysical Journal. ,vol. 599, pp. 786- 805 ,(2003) , 10.1086/379345
Y. Mellier, Dark Matter from Weak Gravitational Lensing Space Science Reviews. ,vol. 100, pp. 73- 87 ,(2002) , 10.1007/978-94-017-2215-5_7
Martin Kilbinger, Peter Schneider, None, Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear Astronomy and Astrophysics. ,vol. 442, pp. 69- 83 ,(2005) , 10.1051/0004-6361:20053531
E. Caron, F. Desprez, Diet: A Scalable Toolbox to Build Network Enabled Servers on the Grid ieee international conference on high performance computing data and analytics. ,vol. 20, pp. 335- 352 ,(2006) , 10.1177/1094342006067472
A. Averbuch, R.R. Coifman, D.L. Donoho, M. Elad, M. Israeli, Fast and accurate Polar Fourier transform Applied and Computational Harmonic Analysis. ,vol. 21, pp. 145- 167 ,(2006) , 10.1016/J.ACHA.2005.11.003