A compressed sensing approach to 3D weak lensing

Astronomy and Astrophysics

Volumn 539, Issue , 2012, Pages

  Leonard, A ^a   Dupe F X ^a   Starck, J L ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

Cosmology: observations; Galaxies: clusters: general; Gravitational lensing: weak; Large scale structure of Universe; Methods: statistical; Techniques: image processing

Indexed keywords

COSMOLOGY: OBSERVATION; GALAXIES: CLUSTERS: GENERAL; GRAVITATIONAL LENSING: WEAK; LARGE SCALE STRUCTURE OF UNIVERSE; METHODS:STATISTICAL;

DAMPING; IMAGE PROCESSING; INVERSE PROBLEMS; SIGNAL RECONSTRUCTION;

REPAIR;

EID: 84857621018     PISSN: 00046361     EISSN: 14320746     Source Type: Journal    
DOI: 10.1051/0004-6361/201117642     Document Type: Article

References (41)

1. Aitken, R. G. 1934, Proc. R. Soc. Edinb., 55, 42
2. Albrecht, A., Bernstein, G., Cahn, R., et al. 2006 [arXiv:astro-ph/ 0609591]
3. Bacon, D. J., & Taylor, A. N. 2003, MNRAS, 344, 1307
4. Barbey, N., Sauvage, M., Starck, J.-L., Ottensamer, R., & Chanial, P. 2011, A&A, 527, A102
5. Bobin, J., Starck, J.-L., & Ottensamer, R. 2008, IEEE Journal of Selected Topics in Signal Processing, 2, 718
6. Boyd, S., & Vandenberghe, L. 2004, Convex Optimization (Cambridge University Press)
7. Candes, E. J., & Plan, Y. 2010, A Probabilistic and RIPless Theory of Compressed Sensing, submitted
8. Candès, E., & Tao, T. 2006, IEEE Transactions on Information Theory, 52, 5406
9. Castro, P. G., Heavens, A. F., & Kitching, T. D. 2005, Phys. Rev. D, 72, 023516
10. Chambolle, A., & Pock, T. 2011, J. Mathem. Imag. Vision, 40, 120
11. Combettes, P. L., & Wajs, V. R. 2005, SIAM Multiscale Model. Simul., 4, 1168
12. Donoho, D. 2006, IEEE Transactions on Information Theory, 52, 1289
13. Fadili, M., & Starck, J.-L. 2009, in Proc. International Conference on Image Processing, ICIP 2009, 7-10 November, Cairo, Egypt (IEEE), 1461
14. Hoekstra, H., & Jain, B. 2008, Ann. Rev. Nucl. Par. Sci., 58, 99
15. Hu, W., & Keeton, C. R. 2002, Phys. Rev. D, 66, 063506
16. Ivezic, Z., Tyson, J. A., Allsman, R., et al. 2008 [arXiv:0805.2366]
17. Kitching, T. D., Heavens, A. F., & Miller, L. 2011, MNRAS, 426
18. Larson, D., Dunkley, J., Hinshaw, G. et al., 2011, ApJS, 192, 16
19. Lemaréchal, C., & Hiriart-Urruty, J.-B. 1996, Convex Analysis and Minimization Algorithms I, 2nd ed. (Springer)
20. Levy, D., & Brustein, R. 2009, JCAP, 6, 26
21. Li, F., Cornwell, T. J., & de Hoog, F. 2011, A&A, 528, A31
22. LSST Science Collaboration, Abell, P. A., Allison, J., et al. 2009 [arXiv:0912.0201]
23. Ma, Z., Hu, W., & Huterer, D. 2006, ApJ, 636, 21
24. Massey, R., Rhodes, J., Ellis, R. et al., 2007 a, Nature, 445, 286
25. Massey, R., Rhodes, J., Leauthaud, A. et al., 2007 b, ApJS, 172, 239
26. Moreau, J.-J. 1962, CRAS Sér. A Math., 255, 2897
27. Munshi, D., Valageas, P., van Waerbeke, L., & Heavens, A. 2008, Phys. Rep., 462, 67
28. Peacock, J. A., Schneider, P., Efstathiou, G., et al. 2006, ESA-ESO Working Group on Fundamental Cosmology, Tech. rep., Ed. Universirty
29. Refregier, A., Amara, A., Kitching, T. D., et al. 2010 [arXiv:1001.0061]
30. Rockafellar, R. 1970, Convex analysis (Princeton University Press)
31. Schneider, P. 2006, Weak Gravitational Lensing (Springer), 269
32. Simon, P., Taylor, A. N., & Hartlap, J. 2009, MNRAS, 399, 48
33. Simon, P., Heymans, C., Schrabback, T., et al. 2011, MNRAS, 1789
34. Starck, J.-L., Murtagh, F., & Fadili, J. M. 2010, Sparse Image and Signal Processing (Cambridge University Press)
35. Taylor, A. N., Bacon, D. J., Gray, M. E. et al., 2004, MNRAS, 353, 1176
36. Taylor, A. N., Kitching, T. D., Bacon, D. J., & Heavens, A. F. 2007, MNRAS, 374, 1377
37. Tegmark, M. 1997, ApJ, 480, L87
38. Tegmark, M., de Oliveira-Costa, A., Devlin, M. J. et al., 1997, ApJ, 474, L77
39. Van Waerbeke, L., & Mellier, Y. 2003 [arXiv:astro-ph/0305089]
40. VanderPlas, J. T., Connolly, A. J., Jain, B., & Jarvis, M. 2011, ApJ, 727, 118
41. Wiaux, Y., Jacques, L., Puy, G., Scaife, A. M. M., & Vandergheynst, P. 2009, MNRAS, 395, 1733