Systems and methods for compressed sensing for multi-shell magnetic resonance imaging
First Claim
1. A method of compressed sensing for multi-shell magnetic resonance imaging, the method comprising:
- providing a magnetic resonance imaging system including a control processor, gradient amplifiers, a radio frequency amplifier, and a pulse generator, wherein the control processor is in communication with the gradient amplifiers, the radio frequency amplifier, and the pulse generator, and wherein the control processor executes computer-readable instructions that cause the control processor to perform the steps of;
obtaining magnetic resonance imaging data, the data being sampled along multiple concentric spherical shells, the spherical shells coincident with a plurality of spokes that converge at an origin;
constructing a symmetric shell for each respective sampled shell to create a combined set of data;
performing a three-dimensional Fourier transform on the combined set of data to reconstruct an image; and
de-noising the reconstructed image by iteratively applying a sparsifying transform on non-sampled data points of neighboring shells.
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Abstract
A method of compressed sensing for multi-shell magnetic resonance imaging includes obtaining magnetic resonance imaging data, the data being sampled along multi-shell spherical coordinates, the spherical coordinates coincident with a plurality of spokes that converge at an origin, constructing a symmetric shell for each respective sampled multi-shell to create a combined set of data, performing a three-dimensional Fourier transform on the combined set of data to reconstruct an image, and de-noising the reconstructed image by iteratively applying a sparsifying transform on non-sampled data points of neighboring shells. The method can also include randomly under-sampling the imaging data to create missing data points. A system configured to implement the method and a non-transitory computer readable medium are also disclosed.
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Citations
15 Claims
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1. A method of compressed sensing for multi-shell magnetic resonance imaging, the method comprising:
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providing a magnetic resonance imaging system including a control processor, gradient amplifiers, a radio frequency amplifier, and a pulse generator, wherein the control processor is in communication with the gradient amplifiers, the radio frequency amplifier, and the pulse generator, and wherein the control processor executes computer-readable instructions that cause the control processor to perform the steps of; obtaining magnetic resonance imaging data, the data being sampled along multiple concentric spherical shells, the spherical shells coincident with a plurality of spokes that converge at an origin; constructing a symmetric shell for each respective sampled shell to create a combined set of data; performing a three-dimensional Fourier transform on the combined set of data to reconstruct an image; and de-noising the reconstructed image by iteratively applying a sparsifying transform on non-sampled data points of neighboring shells. - View Dependent Claims (2, 3, 4, 5)
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6. A non-transitory computer readable medium having stored thereon instructions which when executed by a processor cause the processor to perform a method of multi-shell magnetic resonance imaging, the method comprising:
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obtaining magnetic resonance imaging data, the data being sampled along multiple concentric spherical shells, the spherical shells coincident with a plurality of spokes that converge at an origin; constructing a symmetric shell for each respective sampled shell to create a combined set of data; performing a three-dimensional Fourier transform on the combined set of data to reconstruct an image; and de-noising the reconstructed image by iteratively applying a sparsifying transform on non-sampled data points of neighboring shells. - View Dependent Claims (7, 8, 9, 10)
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11. A system for compressed sensing for multi-shell magnetic resonance imaging, the system comprising:
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a magnetic resonance imaging system including a control processor, gradient amplifiers, a radio frequency amplifier, and a pulse generator, wherein the control processor is in communication with the gradient amplifiers, the radio frequency amplifier, and the pulse generator; the control processor configured to execute computer-readable instructions that cause the control processor to perform a method including; obtain magnetic resonance imaging data, the data being sampled along multiple concentric spherical shells, the spherical shells coincident with a plurality of spokes that converge at an origin; construct a symmetric shell for each respective sampled shell to create a combined set of data; perform a three-dimensional Fourier transform on the combined set of data to reconstruct an image; and de-noise the reconstructed image by iteratively applying a sparsifying transform on non-sampled data points of neighboring shells. - View Dependent Claims (12, 13, 14, 15)
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Specification