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Rapid multi-contrast magnetic resonance imaging and time-of-flight angiography

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Figure 2.1: After acquiring the k-space data, the MRI image can be obtained by taking the inverse Fourier transform.
Figure 2.2: Multi-coil image acquisition. The image from each coil corresponds to the full MRI image multiplied by the sensitivity map of that coil.
Figure 2.3: Flowchart of GRAPPA method a) Sampling pattern in k-space. In this toy example, 13 × 13 k-space and 5 × 5 calibration region are used
Figure 2.4: a) Wavelet domain representation of an MRI image. This repre- repre-sentation is sparse, as most of the pixels in Wavelet domain are zero or have values very close to zero
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