268 citations · 1.1k across the 13 of their papers we have counts for
11 papers · 1 filter
Compressed sensing imaging techniques for radio interferometry
Y. Wiaux, L. Jacques, G. Puy +2
Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actual…
Exact reconstruction with directional wavelets on the sphere
Y. Wiaux, J. D. McEwen, P. Vandergheynst +1
A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of the wavelet form…
Non-Gaussianity analysis on local morphological measures of WMAP data
Y. Wiaux, P. Vielva, R. B. Barreiro +2
The decomposition of a signal on the sphere with the steerable wavelet constructed from the second Gaussian derivative gives access to the orientation, signed-intensity, and elonga…
Cosmological applications of a wavelet analysis on the sphere
J. D. McEwen, P. Vielva, Y. Wiaux +6
The cosmic microwave background (CMB) is a relic radiation of the Big Bang and as such it contains a wealth of cosmological information. Statistical analyses of the CMB, in conjunc…
Complex data processing: fast wavelet analysis on the sphere
Y. Wiaux, J. D. McEwen, P. Vielva
In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a…
Alignment and signed-intensity anomalies in WMAP data
P. Vielva, Y. Wiaux, E. Martinez-Gonzalez +1
Significant alignment and signed-intensity anomalies of local features of the cosmic microwave background (CMB) are detected on the three-year WMAP data, through a decomposition of…