Parallel MRI noise correction: an extension of the LMMSE to non central χ distributions

  • Authors:
  • Véronique Brion;Cyril Poupon;Olivier Riff;Santiago Aja-Fernández;Antonio Tristán-Vega;Jean-François Mangin;Denis Le Bihan;Fabrice Poupon

  • Affiliations:
  • CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France;CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France;CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France;LPI, Universidad de Valladolid, Spain;LPI, Universidad de Valladolid, Spain;CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France;CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France;CEA I2BM NeuroSpin, Gif-sur-Yvette, France and IFR 49, Paris, France

  • Venue:
  • MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
  • Year:
  • 2011

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Abstract

Parallel MRI leads to magnitude data corrupted by noise described in most cases as following a Rician or a non central χ distribution. And yet, very few correction methods perform a non central χ noise removal. However, this correction step, adapted to the correct noise model, is of very much importance, especially when working with Diffusion Weighted MR data yielding a low SNR. We propose an extended Linear Minimum Mean Square Error estimator (LMMSE), which is adapted to deal with non central χ distributions. We demonstrate on simulated and real data that the extended LMMSE outperforms the original LMMSE on images corrupted by a non central χ noise.