1997
DOI: 10.1109/42.640749
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Constrained reconstruction applied to 2-D chemical shift imaging

Abstract: Abstract-The method of constrained reconstruction, previously applied to magnetic resonance imaging (MRI), is extended to magnetic resonance spectroscopy. This method assumes a model for the MR signal. The model parameters are estimated directly from the phase encoded data. This process obviates the need for the fast Fourier transform (FFT) (which often exhibits limited resolution and ringing artifact). The technique is tested on simulated data, phantom data, and data acquired from human liver in vivo. In each… Show more

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Cited by 8 publications
(6 citation statements)
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“…It has been shown that a flexible arrangement of spatial boxcar functions may serve as a reduced representation of the object in order to improve resolution beyond the sampling diffraction limit in MRI [16, 17] and in MRS [18]. Another example is the a priori constraint of total variation , effectively imposing a piecewise constancy of the object, which has been applied in MRI and MRS [19, 20].…”
Section: Imaging-based Mrs Localizationmentioning
confidence: 99%
“…It has been shown that a flexible arrangement of spatial boxcar functions may serve as a reduced representation of the object in order to improve resolution beyond the sampling diffraction limit in MRI [16, 17] and in MRS [18]. Another example is the a priori constraint of total variation , effectively imposing a piecewise constancy of the object, which has been applied in MRI and MRS [19, 20].…”
Section: Imaging-based Mrs Localizationmentioning
confidence: 99%
“…The original SLIM concept was impelled by the postulate that the distribution of metabolites of interest is often linked with the distribution of water protons in biological samples. Therefore, a priori knowledge of anatomical features derived from structural H MRI could be used to inform the reconstruction of spectroscopic images, an idea which can be considered within a broader framework of "constrained imaging" [23]- [25]. With SLIM, high resolution anatomical MR images are used to define spectrally homogeneous compartments, which can be considered as generalized "voxels," and can assume arbitrary shape to match anatomical structure.…”
Section: A the Slim Framework Revisitedmentioning
confidence: 99%
“…The reconstruction process can be formulated as: [7] where A H is the NUFFT (NUFFT-1) operation that maps the density compensated raw k-space data (S) onto image space, W is the density compensation matrix, and Î is the reconstructed image. The NUFFT-1 operation takes the raw non-Cartesian data, convolves it with a special kernel and finds the corresponding coefficients on a Cartesian grid, performs the fast Fourier transform (FFT), then scales the image by the inverse of the accuracy factors used for constructing the convolution kernel (11,18).…”
Section: Fig 3 Amentioning
confidence: 99%
“…To follow rapidly evolving changes in metabolite concentrations, as cell metabolism transforms an injected compound into its downstream metabolites the use of fast, multispectral MR data acquisition techniques is required. Chemical shift imaging (CSI) techniques have been used to encode spectral and spatial information in MRSI exams (6,7). These techniques, however, have not been optimized for acquisition of hyperpolarized signals, and need to be improved to fully exploit the benefits offered by the large, slowly decaying, nonrenewable hyperpolarized signals.…”
mentioning
confidence: 99%