Compressed sensing using different k-space sampling patterns
A system and method comprises acquisition of a plurality of k-space sets, each of the plurality of k-space sets comprising a different incoherent variable-density under-sampled combination of k-space data points, performance of iterative reconstruction on the plurality of k-space sets to generate a plurality of images, where each of the plurality of images is associated with a different one of the plurality of k-space sets, and averaging of the generated plurality of images to generate an image.
1 . A magnetic resonance imaging system comprising:
a magnet system configured to generate a polarizing magnetic field about at least a portion of a subject;
a plurality of gradient coils configured to apply at least one gradient field to the polarizing magnetic field;
a radio frequency (RF) system configured to apply an excitation field to the subject and to acquire magnetic resonance (MR) data from the subject; and
a processing unit to execute program code to cause the system to:
acquire a plurality of k-space sets, each of the plurality of k-space sets comprising a different incoherent variable-density under-sampled combination of k-space data points;
perform iterative reconstruction on the plurality of k-space sets to generate a plurality of images, where each of the plurality of images is associated with a different one of the plurality of k-space sets; and
generate an image based on the generated plurality of images.
2 . The system of claim 1 , wherein the iterative reconstruction comprises a compressed sensing reconstruction.
3 . The system of claim 2 , wherein the iterative reconstruction comprises a joint reconstruction based on a joint sparsity of the plurality of k-space sets.
4 . The system of claim 3 , wherein the plurality of images comprise complex pixel values, and wherein generation of the image comprises averaging the plurality of images.
5 . The system of claim 4 , the processing unit to execute program code to cause the system to:
motion-correct each of the plurality of images to a same reference image before generation of the image.
6 . The system of claim 1 , wherein the plurality of images comprise complex pixel values, and wherein generation of the image comprises averaging the plurality of images.
7 . The system of claim 6 , the processing unit to execute program code to cause the system to:
motion-correct each of the plurality of images to a same reference image before generation of the image.
8 . The system of claim 1 , wherein each of the plurality of k-space data segments is acquired using a different inversion time.
9 . The system of claim 1 , wherein acquisition of the plurality of k-space sets comprises acquisition of each of the plurality of k-space sets at a predetermined time after an inversion pulse,
wherein the iterative reconstruction comprises a joint reconstruction based on a joint sparsity of the plurality of k-space sets, and
wherein generation of the image comprises averaging the plurality of images;
the processing unit to execute program code to cause the system to:
acquire a second plurality of k-space sets interleaved with acquisition of the plurality of k-space sets without a leading inversion pulse;
perform a second joint reconstruction based on a second joint sparsity of the second plurality of k-space sets to generate a second plurality of images, where each of the second plurality of images is associated with a different one of the second plurality of k-space sets;
generate a second image by averaging the second plurality of images; and
perform a phase-sensitive reconstruction based on the image and the second image to generate a phase-sensitive inversion recovery image.
10 . A method comprising:
acquiring a plurality of k-space sets, each of the plurality of k-space sets comprising a different incoherent variable-density under-sampled combination of k-space data points;
performing iterative reconstruction on the plurality of k-space sets to generate a plurality of images, where each of the plurality of images is associated with a different one of the plurality of k-space sets; and
combining the generated plurality of images to generate an image.
11 . The method of claim 10 , wherein the iterative reconstruction comprises a joint compressed sensing reconstruction based on a joint sparsity in image space of the plurality of k-space sets.
12 . The method of claim 10 , wherein the plurality of images comprise complex pixel values, and wherein combining the generated plurality of images comprises averaging the plurality of images.
13 . The method of claim 12 , further comprising:
motion-correcting each of the plurality of images to a same reference image before generation of the image.
14 . The method of claim 10 , wherein each of the plurality of k-space sets is acquired using a different inversion time.
15 . The method of claim 10 , wherein acquiring the plurality of k-space sets comprises acquiring each of the plurality of k-space sets at a predetermined time after an inversion pulse,
wherein the iterative reconstruction comprises a joint reconstruction based on a joint sparsity of the plurality of k-space sets, and
wherein combining the generated plurality of images comprises averaging the plurality of images;
the method further comprising:
acquiring a second plurality of k-space sets interleaved with acquisition of the plurality of k-space sets without a leading inversion pulse;
performing a second joint reconstruction based on a second joint sparsity of the second plurality of k-space sets to generate a second plurality of images, where each of the second plurality of images is associated with a different one of the second plurality of k-space sets;
generating a second image by averaging the second plurality of images; and
performing a phase-sensitive reconstruction based on the image and the second image to generate a phase-sensitive inversion recovery image.
16 . One or more non-transitory computer-readable media storing program code executable by one or more processing units to cause a computing system to:
acquire a plurality of k-space sets, each of the plurality of k-space sets comprising a different incoherent variable-density under-sampled combination of k-space data points;
perform iterative reconstruction on the plurality of k-space sets to generate a plurality of images, where each of the plurality of images is associated with a different one of the plurality of k-space sets; and
averaging the generated plurality of images to generate an image.
17 . The one or more non-transitory computer-readable media of claim 16 , wherein the iterative reconstruction comprises a joint reconstruction based on a joint sparsity of the plurality of k-space sets.
18 . The one or more non-transitory computer-readable media of claim 16 , wherein acquisition of the plurality of k-space sets comprises acquisition of each of the plurality of k-space sets at a predetermined time after an inversion pulse, and
wherein the iterative reconstruction comprises a joint reconstruction based on a joint sparsity of the plurality of k-space sets;
the program code executable by one or more processing units to cause a computing system to:
acquire a second plurality of k-space sets interleaved with acquisition of the plurality of k-space sets without a leading inversion pulse;
perform a second joint reconstruction based on a second joint sparsity of the second plurality of k-space sets to generate a second plurality of images, where each of the second plurality of images is associated with a different one of the second plurality of k-space sets;
average the second plurality of images to generate a second image; and
perform a phase-sensitive reconstruction based on the image and the second image to generate a phase-sensitive inversion recovery image.
19 . The one or more non-transitory computer-readable media of claim 16 , the program code executable by one or more processing units to cause a computing system to:
motion-correct each of the plurality of images to a same reference image before generation of the image.
20 . The one or more non-transitory computer-readable media of claim 16 , wherein each of the plurality of k-space sets is acquired using a different inversion time.