Systems and Methods for Efficiently Generating Magnetic Resonance Images from Incomplete Data
AssigneeMayo Foundation for Medical Education and Research
InventorsYunhong Shu, Armando Manduca, Joshua D. Trzasko, Matthew A. Bernstein
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Abstract
Systems and methods for efficiently generating MR images are provided. The method comprises acquiring k-space MR data, reconstructing an MR image from the k-space MR data, and generating the MR image. The MR image is reconstructed using an alternative-direction-method-of-multiplier (ADMM) strategy that decomposes an optimization problem into subproblems, and at least one of the subproblems is further decomposed into small problems. The further decomposition is based on Woodbury matrix identity and uses a diagonal preconditioner based on non-Toeplitz models.
Claims9
A method for generating a magnetic resonance (MR) image, the method comprising:
- a) acquiring k-space MR data;
- b) reconstructing an MR image from the k-space MR data by:
- i) using an alternative-direction-method-of-multiplier (ADMM) strategy that decomposes an optimization problem into subproblems;
- and
- ii) decomposing at least one of the subproblems based on a Woodbury matrix identity and using a diagonal preconditioner (PC) based on non-Toeplitz models.
A magnetic resonance imaging (MRI) system, comprising:
- a magnet system configured to generate a polarizing magnetic field about at least a portion of a subject arranged in the MRI system;
- a magnetic gradient system including a plurality of magnetic gradient coils configured to apply at least one magnetic gradient field to the polarizing magnetic field;
- a radio frequency (RF) system configured to apply an RF field to the subject and to receive magnetic resonance (MR) signals therefrom;
- a computer system programmed to:
- a) control the gradient system and the RF system to acquire k-space MR data;
- b) reconstruct an MR image from the k-space MR data using an alternative-direction-method-of-multiplier (ADMM) strategy that decomposes an optimization problem into subproblems, wherein at least one of the subproblems is further decomposed based on Woodbury matrix identity and using a diagonal preconditioner (PC) based on non-Toeplitz models;
- and
- c) generate the MR image.
A method for generating a magnetic resonance (MR) image, the method comprising:
- a) acquiring k-space MR data;
- b) reconstructing an MR image from the k-space MR data using an alternative-direction-method-of-multiplier (ADMM) strategy that decomposes an optimization problem into subproblems, wherein at least one of the subproblems is further decomposed based on Woodbury matrix identity and using a diagonal preconditioner (PC) based on non-Toeplitz models;
- and
- c) generating the MR image.
Dependencies are inferred from the claim text.