Abstract: Systems and methods for correcting magnetic resonance (MR) data are provided. One method includes receiving the MR data and correcting errors present in the MR data due to non-uniformities in magnetic field gradients used to generate the diffusion weighted MR signals. The method also includes correcting errors present in the MR data due to concomitant gradient fields present in the magnetic field gradients by using one or more gradient terms. At least one of the gradient terms is corrected based on the correction of errors present in the MR data due to the non-uniformities in the magnetic field gradients.

Abstract: Systems and methods for generating a magnetic resonance (MR) image of a tissue are provided. A method includes acquiring MR raw data. The MR raw data corresponds to MR signals obtained at undersampled q-space locations for a plurality of q-space locations that is less than an entirety of the q-space locations and the MR signals at the q-space locations represent the three dimensional displacement distribution of the spins in the imaging voxel. The method also includes performing a joint image reconstruction technique on the MR raw data to exploit structural correlations in the MR signals to obtain a series of accelerated MR images and performing, for each image pixel in each accelerated MR image of the series of accelerated MR images, a compressed sensing reconstruction technique to exploit q-space signal sparsity to identify a plurality of diffusion maps.

Abstract: A magnetic resonance (MR) imaging method includes acquiring MR signals having phase and magnitude at q-space locations using a diffusion sensitizing pulse sequence performed on a tissue of interest, wherein the acquired signals each include a set of complex Fourier encodings representing a three-dimensional displacement distribution of the spins in a q-space location. The signals each include information relating to coherent motion and incoherent motion in the q-space location. The method also includes determining a contribution by coherent motion to the phase of the acquired MR signals; removing the phase contribution attributable to coherent motion from the acquired MR signals to produce a complex data set for each q-space location and an image of velocity components for each q-space location; and producing a three-dimensional velocity image from the image of the velocity components.

Abstract: Systems and methods for correcting magnetic resonance (MR) data are provided. One method includes receiving the MR data and correcting errors present in the MR data due to non-uniformities in magnetic field gradients used to generate the diffusion weighted MR signals. The method also includes correcting errors present in the MR data due to concomitant gradient fields present in the magnetic field gradients by using one or more gradient terms. At least one of the gradient terms is corrected based on the correction of errors present in the MR data due to the non-uniformities in the magnetic field gradients.

Abstract: A magnetic resonance (MR) imaging method includes acquiring MR signals having phase and magnitude at q-space locations using a diffusion sensitizing pulse sequence performed on a tissue of interest, wherein the acquired signals each include a set of complex Fourier encodings representing a three-dimensional displacement distribution of the spins in a q-space location. The signals each include information relating to coherent motion and incoherent motion in the q-space location. The method also includes determining a contribution by coherent motion to the phase of the acquired MR signals; removing the phase contribution attributable to coherent motion from the acquired MR signals to produce a complex data set for each q-space location and an image of velocity components for each q-space location; and producing a three-dimensional velocity image from the image of the velocity components.

Abstract: A signal processing method is provided. The signal processing method includes the steps of generating undersampled data corresponding to an object, determining a variable thresholding parameter based on a composition of the undersampled data, and iteratively determining thresholded coefficients to generate a plurality of coefficients by utilizing the undersampled data, a current solution and the variable thresholding parameter by updating the variable thresholding parameter and the current solution, and reconstructing a data signal using the plurality of coefficients.

Abstract: Systems and methods for generating a magnetic resonance (MR) image of a tissue are provided. A method includes acquiring MR raw data. The MR raw data corresponds to MR signals obtained at undersampled q-space locations for a plurality of q-space locations that is less than an entirety of the q-space locations and the MR signals at the q-space locations represent the three dimensional displacement distribution of the spins in the imaging voxel. The method also includes performing a joint image reconstruction technique on the MR raw data to exploit structural correlations in the MR signals to obtain a series of accelerated MR images and performing, for each image pixel in each accelerated MR image of the series of accelerated MR images, a compressed sensing reconstruction technique to exploit q-space signal sparsity to identify a plurality of diffusion maps.

Abstract: A signal processing method is presented. The method includes acquiring undersampled data corresponding to an object, initializing a first image solution and a second image solution, determining a linear combination solution based upon the first image solution and the second image solution, generating a plurality of selected coefficients by iteratively updating the first image solution, the second image solution and the linear combination solution and adaptively thresholding one or more transform coefficients utilizing the undersampled data, an updated first image solution, an updated second image solution and an updated linear combination solution, and reconstructing a data signal using the plurality of selected coefficients.

Abstract: A signal processing method is presented. The method includes acquiring undersampled data corresponding to an object, initializing a first image solution and a second image solution, determining a linear combination solution based upon the first image solution and the second image solution, generating a plurality of selected coefficients by iteratively updating the first image solution, the second image solution and the linear combination solution and adaptively thresholding one or more transform coefficients utilizing the undersampled data, an updated first image solution, an updated second image solution and an updated linear combination solution, and reconstructing a data signal using the plurality of selected coefficients.

Abstract: A signal processing method is provided. The signal processing method includes the steps of generating undersampled data corresponding to an object, determining a variable thresholding parameter based on a composition of the undersampled data, and iteratively determining thresholded coefficients to generate a plurality of coefficients by utilizing the undersampled data, a current solution and the variable thresholding parameter by updating the variable thresholding parameter and the current solution, and reconstructing a data signal using the plurality of coefficients.

Abstract: A method of measuring and correcting eddy currents in a MRI system includes running a pulse sequence using bipolar gradient pulses and a first delay Te, to acquire a phase-difference image and a phase response of a static phantom that fills a majority of a field of view (FOV) of the MRI system, fitting the phase difference image to a two-dimensional second order polynomial, and changing the pulse sequence to provide a different delay. The method includes iterating running a pulse sequence and fitting the phase difference image and phase response with different delays to determine coefficients of the second order polynomial and a time constant of the phase response, correcting a pre-emphasis eddy current correction (ECC) system of the MRI system in accordance with the time constant of the phase response, determining an amplitude correction to reduce determined coefficients, and storing determined amplitude corrections in the pre-emphasis ECC system.

Abstract: A method for reconstructing an image of an object includes unwrapping a reduced field of view image, and estimating edge boundaries using the unwrapped reduced field of view image. The estimated edge boundaries are used to calculate the number of aliasing replicates in the reduced field of view image. The number of aliasing replicates is used to unwrap the reduced field of view image.

Abstract: An imaging method for an MRI system includes identifying a low signal region within a scanning volume. An overlap calculation of the scanning volume is generated. The low signal region is substantially eliminated from the overlap calculation thereby generating an adjusted overlap structure. A SENSE calculation is generated in response to the adjusted overlap structure.

Abstract: A method for reconstructing an image of an object includes unwrapping a reduced field of view image, and estimating edge boundaries using the unwrapped reduced field of view image. The estimated edge boundaries are used to calculate the number of aliasing replicates in the reduced field of view image. The number of aliasing replicates is used to unwrap the reduced field of view image.

Abstract: A spiral scan MR imaging method is provided for acquiring an image of a specified section taken through an object, wherein the section has a generally elongated shape. Thus, first and second dimensions of the section, measured along first and second mutually orthogonal section reference axes, respectively, have a relationship such that the first dimension is substantially greater than the second dimension. The method includes the step of applying spatially selective RF excitation to an imaging volume containing the object, in order to select a slice which includes the specified section. The method further includes the step of generating a read-out gradient defining a selected anisotropic spiral trajectory in an associated k-space domain having first and second mutually orthogonal k-space reference axes, which respectively correspond to the first and second section reference axes.