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Fast image acquisition in magnetic resonance imaging by chaotic compressed sensing

Fast image acquisition in magnetic resonance imaging by chaotic compressed sensing,10.1109/ISBI.2011.5872360,Dinh Van Phong,Nguyen Linh-Trung,Tran Duc

Fast image acquisition in magnetic resonance imaging by chaotic compressed sensing   (Citations: 1)
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We consider the problem of fast acquisition in magnetic resonance imaging (MRI). A recent breakthrough concept called compressed sensing (CS) shows that sparse or, more generally, compressible signals can be recovered from a small number of linear random measurements. CS, using random measurements, has also been successfully applied to MRI for fast acquisition. In a recent work, we have preliminarily employed deterministic chaos in CS that potentially offers a more practical and efficient CS framework. This paper adapts chaotic CS to MRI acquisition. In particular, we use chaotic logistic map for CS and adapt it to acquire the 2-dimensional MRI. In addition, we numerically analyze the performance of the proposed chaotic CS for MRI and show that it performs better random CS.
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    • ...Both of the deterministic designs for CS measurement matrices, which we reviewed above, have also been applied to the problem of fast image acquisition in MRI [10] and [11]...
    • ...In [10], chaotic under-sampling is carried out in the k-space...
    • ...Chaotic design has been reformulated to sampling the k-space in a chaotic manner [10]...
    • ...Following this idea and applying to fast MRI acquisition, we propose a specific design method for deterministic and structured CS, taking advantages of the chaotic design [10] and chirp modulation [11]...
    • ...<{[SECTION]}>Based on the work of [10] using chaotic CS and [11],...
    • ...<{[SECTION]}>structed image (as compared to the method proposed in [10]),...

    Duc-Tan Tranet al. Spread spectrum in chaotic compressed sensing with application to MRI

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