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Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an alternative and completely equivalent approach, as inverse stereographic… (More)

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for… (More)

- Jason D. McEwen, Patricio Vielva, +7 authors Jean-Pierre Antoine
- 2007

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 conjunction with other… (More)

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 formalism developed by… (More)

An algorithm is proposed for denoising the signal induced by cosmic strings in the cosmic microwave background. A Bayesian approach is taken, based on modelling the string signal in the wavelet… (More)

Using local morphological measures on the sphere defined through a steerable wavelet analysis, we examine the three-year WMAP and the NVSS data for correlation induced by the integrated Sachs-Wolfe… (More)

Global universe anisotropy probed by the alignment of structures in the cosmic microwave background.

- Yves Wiaux, Patricio Vielva, Enrique Martinez-Gonzalez, Pierre Vandergheynst
- Physical review letters
- 2006

We question the global universe isotropy by probing the alignment of local structures in the cosmic microwave background (CMB) radiation. The original method proposed relies on a steerable wavelet… (More)

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background ( CMB), from radio-interferometric data at arcminute resolution. Radio… (More)

This paper reviews the application of a novel methodology for analysing the isotropy of the universe by probing the alignment of local structures in the CMB. The strength of the proposed methodology… (More)

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 elongation of the… (More)