Spread spectrum for compressed sensing techniques in magnetic resonance imaging

Yves Wiaux, Gilles Puy, R. Gruetter, Jean-Philippe Thiran, Dimitri Van De Ville, Pierre Vandergheynst

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Citations (Scopus)

Abstract

Magnetic resonance imaging (MRI) probes signals through Fourier measurements. Accelerating the acquisition process is of major interest for various MRI applications. The recent theory of compressed sensing shows that sparse or compressible signals may be reconstructed from a small number of random measurements in a sensing basis incoherent with the sparsity basis. In this context, we advocate the use of a chirp modulation of MRI signals prior to probing an incomplete Fourier coverage, in the perspective of accelerating the acquisition process relative to a standard setting with complete coverage. We analyze the spread spectrum phenomenon related to the modulation and we prove its effectiveness in enhancing the overall quality of image reconstruction. We also study its impact at each scale of decomposition in a wavelet sparsity basis. Our preliminary results rely both on theoretical considerations related to the mutual coherence between the sparsity and sensing bases, as well as on numerical simulations from synthetic signals.

Original languageEnglish
Title of host publication7th IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro
Pages756-759
Number of pages4
ISBN (Electronic)9781424441266
DOIs
Publication statusPublished - 2010
Event7th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Rotterdam, Netherlands
Duration: 14 Apr 201017 Apr 2010

Conference

Conference7th IEEE International Symposium on Biomedical Imaging: From Nano to Macro
Abbreviated titleISBI 2010
CountryNetherlands
CityRotterdam
Period14/04/1017/04/10

Keywords

  • Compressed sensing
  • Magnetic resonance imaging
  • Spread spectrum

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging

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