General formulation for quantitative G-factor calculation in GRAPPA reconstructions

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General formulation for quantitative G-factor calculation in GRAPPA reconstructions.

In this work a theoretical description for practical quantitative estimation of the noise enhancement in generalized autocalibrating partially parallel acquisitions (GRAPPA) reconstructions, equivalent to the geometry (g)-factor in sensitivity encoding for fast MRI (SENSE) reconstructions, is described. The GRAPPA g-factor is derived directly from the GRAPPA reconstruction weights. The procedur...

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Introduction: Recently, a theoretical framework for quantitative estimation of the non-uniform noise enhancement in GRAPPA reconstructions has been derived [1,2]. These works show that a GRAPPA g-factor can be calculated directly from the GRAPPA weights, which corresponds with the g-factor familiar in SENSE reconstructions [3]. In this work, we extend this concept to GRAPPA acquisitions where m...

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Many techniques for the reconstruction of parallel MRI images are performed which can be used to accelerate image acquisition using an RF coil array. Recently, parallel imaging methods have become commercially available, and the SENSE technique is very useful in clinical applications. In this study, we compare this technique with GRAPPA technique which can provide high resolution. Algorithms ca...

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Introduction: The g-factor map, defined for parallel imaging reconstructions using the SENSE algorithm [1], provides a spatial map of noise enhancement introduced by the SENSE matrix inversion. This map may be used to predict image reconstruction performance or the suitability of a particular receive coil array for accelerated imaging. However in some applications the GRAPPA technique [2] is ad...

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different Δ shifts (A=0, B=3, C=2) in the slice encode direction for one sampling row Ky to the next. Corresponding k-space sampling patterns are also shown. All points belonging to a particular segment are acquired during a single readout echo train. Missing k-space points are empty squares whereas filled squares are acquired k-space points. Note that the length of the echo train is kept uncha...

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ژورنال

عنوان ژورنال: Magnetic Resonance in Medicine

سال: 2009

ISSN: 0740-3194,1522-2594

DOI: 10.1002/mrm.22066