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Structured sparsity through reweighting and application to diffusion {MRI}

Type of publication Peer-reviewed
Publikationsform Proceedings (peer-reviewed)
Publication date 2015
Author Auría Rasclosa Anna, Daducci Alessandro, Thiran Jean-Philippe, Wiaux Yves,
Project Advanced signal processing on the sphere for high angular resolution diffusion magnetic resonance imaging
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Proceedings (peer-reviewed)

Title of proceedings EUSIPCO

Open Access

Type of Open Access Repository (Green Open Access)


We consider the problem of multiple correlated sparse signals reconstruction and propose a new implementation of structured sparsity through a reweighting scheme. We present a particular application for diffusion Magnetic Resonance Imaging data and show how this procedure can be used for fibre orientation reconstruction in the white matter of the brain. In that framework, our structured sparsity prior can be used to exploit the fundamental coherence between fibre directions in neighbour voxels. Our method approaches the $\ell_0$ minimisation through a reweighted $\ell_1$-minimisation scheme. The weights are here defined in such a way to promote correlated sparsity between neighbour signals.