Methods, apparatuses, systems, and computer-readable mediums for magnetic resonance imaging with phase difference operation
A method of generating a phase image of a region of interest of a patient, comprises: obtaining a plurality of adjusted magnetic resonance (MR) signal vectors by adjusting lengths of a plurality of MR signal vectors acquired by a MR imaging system having a plurality of channels, a length of a first of the plurality of MR signal vectors being adjusted based on a first signal-to-noise ratio for a first component MR signal vector on a first of the plurality of channels and a second signal-to-noise ratio for a second component MR signal vector on the first of the plurality of channels; and generating the phase image based on the plurality of adjusted MR signal vectors.
1. A method of generating a phase image of a region of interest of a patient, the method comprising:
obtaining a plurality of adjusted magnetic resonance (MR) signal vectors by adjusting lengths of a plurality of MR signal vectors acquired by a MR imaging system having a plurality of channels, a length of a first of the plurality of MR signal vectors being adjusted based on a first signal-to-noise ratio for a first component MR signal vector on a first of the plurality of channels and a second signal-to-noise ratio for a second component MR signal vector on the first of the plurality of channels; and
generating the phase image based on the plurality of adjusted MR signal vectors.
2. The method of claim 1 , wherein the adjusting comprises:
adjusting the length of the first of the plurality of MR signal vectors such that the length of the first of the plurality of MR signal vectors is inversely proportional to a variance of a phase of the first of the plurality of MR signal vectors.
3. The method of claim 1 , wherein the length of the first of the plurality of MR signal vectors is adjusted based on a square of the first signal-to-noise ratio and a square of the second signal-to-noise ratio.
4. The method of claim 3 , wherein the length of the first of the plurality of MR signal vectors is adjusted by setting the length of the first of the plurality of MR signal vectors equal to a sum of a reciprocal of the square of the first signal-to-noise ratio and a reciprocal of the square of the second signal-to-noise ratio.
5. The method of claim 1 , wherein the generating comprises:
averaging the plurality of adjusted MR signal vectors across the plurality of channels to obtain a resultant scaled MR signal vector.
6. The method of claim 5 , wherein the plurality of adjusted MR signal vectors are averaged across the plurality of channels using vector addition.
7. The method of claim 1 , wherein the first component MR signal vector is a first echo and the second component MR signal vector is a second echo.
8. The method of claim 1 , further comprising:
calculating a Hermitian Inner Product (HiP) between the first component MR signal vector and the second component MR signal vector to obtain the first of the plurality of MR signal vectors.
9. The method of claim 8 , wherein the length of the first of the plurality of MR signal vectors is adjusted by adjusting the HiP based on the first signal-to-noise ratio and the second signal-to-noise ratio.
10. The method of claim 1 , further comprising:
acquiring, via the MR imaging system, multi-echo MR imaging data for the region of interest using an echo-planar imaging (EPI) sequence, the multi-echo MR imaging data including the plurality of MR signal vectors.
11. An image processing system to generate a phase image of a region of interest of a patient, the image processing system comprising:
a memory storing computer-readable instructions; and
at least one processor configured to execute the computer-readable instructions to cause the image processing system to
obtain a plurality of adjusted MR signal vectors by adjusting lengths of a plurality of MR signal vectors acquired by a MR imaging system having a plurality of channels, a length of a first of the plurality of MR signal vectors being adjusted based on a first signal-to-noise ratio for a first component MR signal vector on a first of the plurality of channels and a second signal-to-noise ratio for a second component MR signal vector on the first of the plurality of channels, and
generate the phase image based on the plurality of adjusted MR signal vectors.
12. The image processing system of claim 11 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to adjust the length of the first of the plurality of MR signal vectors such that the length of the first of the plurality of MR signal vectors is inversely proportional to a variance of a phase of the first of the plurality of MR signal vectors.
13. The image processing system of claim 11 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to adjust the length of the first of the plurality of MR signal vectors based on a square of the first signal-to-noise ratio and a square of the second signal-to-noise ratio.
14. The image processing system of claim 13 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to adjust the length of the first of the plurality of MR signal vectors by setting the length of the first of the plurality of MR signal vectors equal to a sum of a reciprocal of the square of the first signal-to-noise ratio and a reciprocal of the square of the second signal-to-noise ratio.
15. The image processing system of claim 11 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to generate the phase image by averaging the plurality of adjusted MR signal vectors across the plurality of channels to obtain a resultant scaled MR signal vector.
16. The image processing system of claim 15 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to average the plurality of adjusted MR signal vectors across the plurality of channels using vector addition.
17. The image processing system of claim 11 , wherein the first component MR signal vector is a first echo and the second component MR signal vector is a second echo.
18. The image processing system of claim 11 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to calculate a HiP between the first component MR signal vector and the second component MR signal vector to obtain the first of the plurality of MR signal vectors.
19. The image processing system of claim 18 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the image processing system to adjust the length of the first of the plurality of MR signal vectors by adjusting the HiP based on the first signal-to-noise ratio and the second signal-to-noise ratio.
20. An imaging system comprising:
a MR acquisition device having a plurality of channels, the MR acquisition device configured to acquire multi-echo MR imaging data for a region of interest of a patient, the multi-echo MR imaging data including a plurality of MR signal vectors; and
an image processing system to generate a phase image of the region of interest of the patient, the image processing system including
a memory storing computer-readable instructions, and
at least one processor configured to execute the computer-readable instructions to cause the image processing system to
obtain a plurality of adjusted MR signal vectors by adjusting lengths of the plurality of MR signal vectors, wherein a length of a first of the plurality of MR signal vectors is adjusted based on a first signal-to-noise ratio for a first component MR signal vector on a first of the plurality of channels and a second signal-to-noise ratio for a second component MR signal vector on the first of the plurality of channels, and
generate the phase image based on the plurality of adjusted MR signal vectors.