Method of magnetic resonance reconstruction imaging from projections using partial data collected in k-space
First Claim
1. In magnetic resonance imaging of one object based on projection reconstruction, a method of obtaining data for k-space trajectories comprising the steps ofa) establishing a set of radial k-space trajectories all originating at the center k-space for use in projection reconstruction of an image of said object, each trajectory having a low frequency part and a high frequency part,b) sequentially exciting said object and detecting data samples along less than all of said set of radial k-space trajectories, andc) obtaining data samples for low frequency parts of unsampled trajectories based on interpolation of detected data samples of low frequency parts of adjacent sampled trajectories.
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Abstract
The acquisition of radial lines in 2-D Fourier space (k-space) allows the realization of the extremely short echo times useful in the imaging of short-T2 species and flow using Magnetic Resonance (MR). The disadvantage of this imaging method, which is also known as projection reconstruction, is that in order to prevent aliasing at a given resolution, π times as many excitations are required as the conventional 2-D Fourier transform or spin-warp acquisition. Disclosed is an acquisition and reconstruction method that reduces the required number of radial lines and excitations by using the properties that projections are real or have slowly varying phase and the at radial acquisition methods are oversampled at the center of k-space. This method preserves resolution while reducing imaging time at the expense of signal-to-noise ratio (SNR). This has been verified with both phantom and human subjects.
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Citations
12 Claims
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1. In magnetic resonance imaging of one object based on projection reconstruction, a method of obtaining data for k-space trajectories comprising the steps of
a) establishing a set of radial k-space trajectories all originating at the center k-space for use in projection reconstruction of an image of said object, each trajectory having a low frequency part and a high frequency part, b) sequentially exciting said object and detecting data samples along less than all of said set of radial k-space trajectories, and c) obtaining data samples for low frequency parts of unsampled trajectories based on interpolation of detected data samples of low frequency parts of adjacent sampled trajectories.
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8. A method of magnetic resonance imaging using projection reconstruction comprising the steps of
a) obtaining data samples for a first plurality of radial k-space trajectories all originating at the center of k-space, each trajectory having a low frequency part and a high frequency part, b) obtaining data for a second plurality of radial k-space trajectories having low frequency parts and high frequency parts each of said second plurality of trajectories being opposite to and collinear extensions of one of said first plurality of trajectories, including interpolating low frequency parts from adjacent sampled trajectories, c) Fourier transforming collinear trajectories of said first plurality of trajectories and said second plurality of trajectories to obtain projections, and d) reconstructing an image based on said projections.
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