Magnetic resonance imaging apparatus and image processing apparatus

1. A magnetic resonance imaging apparatus comprising:

an arranging unit configured to arrange magnetic resonance signals acquired by implementing parallel imaging and correspond to a plurality of channels into a first region on a k-space so as to be positioned at first interval to generate first k-space data and into a second region larger than the first region so as to be positioned at second interval larger than the first interval to generate second k-space data;

a generating unit configured to generate third k-space data of the first interval corresponding to each of the plurality of channels, based on the second k-space data; and

a reconstructing unit configured to reconstruct a magnetic resonance image, based on the first k-space data, the third k-space data, and sensitivity distributions corresponding to the plurality of channels.

2. The apparatus according to claim 1 , wherein the arranging unit arranges the magnetic resonance signals into the first region corresponding to a central part of the k-space so as to be positioned at the first interval and into the second region that is larger and includes a peripheral part of the k-space so as to be positioned at the second interval.

3. The apparatus according to claim 2 , wherein the generating unit reconstructs an intermediate magnetic resonance image based on the second k-space data and generates the third k-space data corresponding to each of the plurality of channels by performing an inverse reconstructing process on the intermediate magnetic resonance image based on the sensitivity distributions corresponding to the plurality of channels.

4. The apparatus according to claim 2 , wherein

the generating unit reconstructs a first group of folded images corresponding to the plurality of channels from the second k-space data, reconstructs an intermediate magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the first group of folded images, and generates the third k-space data corresponding to each of the plurality of channels by performing an inverse reconstructing process on the intermediate magnetic resonance image based on the sensitivity distributions corresponding to the plurality of channels, and

the reconstructing unit reconstructs a second group of folded images corresponding to the plurality of channels from at least a part of the first k-space data and the third k-space data and further reconstructs the magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the second group of folded images.

5. The apparatus according to claim 2 , wherein

the generating unit generates the third k-space data corresponding to each of the plurality of channels by applying an interpolation coefficient derived from the first k-space data to the second k-space data, and

the reconstructing unit reconstructs the magnetic resonance image by applying an interpolation coefficient derived from the sensitivity distributions to at least a part of the first k-space data and the third k-space data.

6. The apparatus according to claim 2 , wherein

the generating unit generates the third k-space data corresponding to each of the plurality of channels by applying an interpolation coefficient derived from the first k-space data to the second k-space data, and

the reconstructing unit reconstructs a second group of folded images corresponding to the plurality of channels from at least a part of the first k-space data and the third k-space data and further reconstructs the magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the second group of folded images.

7. The apparatus according to claim 1 , wherein the arranging unit arranges the magnetic resonance signals into the k-space so that the second interval are each an integer multiple of the first interval.

8. The apparatus according to claim 2 , wherein the arranging unit arranges magnetic resonance signals corresponding to a predetermined number of frames that are sequential in a time series so as to be positioned at the first interval and at the second interval also in a time direction.

9. The apparatus according to claim 2 , wherein, when arranging, into a k-space, magnetic resonance signals corresponding to a predetermined number of frames that are sequential in a time series, the arranging unit arranges the magnetic resonance signals in such a manner that positions where the k-space data are arranged and positions where the k-space data are not arranged are different for each of the frames.

10. The apparatus according to claim 1 , wherein the generating unit reconstructs an intermediate magnetic resonance image based on the second k-space data and generates the third k-space data corresponding to each of the plurality of channels by performing an inverse reconstructing process on the intermediate magnetic resonance image based on the sensitivity distributions corresponding to the plurality of channels.

11. The apparatus according to claim 10 , wherein when the intermediate magnetic resonance image is reconstructed by the generating unit by using prior knowledge, whereas the magnetic resonance image is reconstructed by the reconstructing unit by using prior knowledge, a strength of the prior knowledge applied to the reconstruction of the intermediate magnetic resonance image is set to be higher than a strength of the prior knowledge applied to the reconstruction of the magnetic resonance image.

12. The apparatus according to claim 1 , wherein

the generating unit reconstructs a first group of folded images corresponding to the plurality of channels from the second k-space data, reconstructs an intermediate magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the first group of folded images, and generates the third k-space data corresponding to each of the plurality of channels by performing an inverse reconstructing process on the intermediate magnetic resonance image based on the sensitivity distributions corresponding to the plurality of channels, and

the reconstructing unit reconstructs a second group of folded images corresponding to the plurality of channels from at least a part of the first k-space data and the third k-space data and further reconstructs the magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the second group of folded images.

13. The apparatus according to claim 12 , wherein when the intermediate magnetic resonance image is reconstructed by the generating unit by using prior knowledge, whereas the magnetic resonance image is reconstructed by the reconstructing unit by using prior knowledge, a strength of the prior knowledge applied to the reconstruction of the intermediate magnetic resonance image is set to be higher than a strength of the prior knowledge applied to the reconstruction of the magnetic resonance image.

14. The apparatus according to claim 1 , wherein

the generating unit generates the third k-space data corresponding to each of the plurality of channels by applying an interpolation coefficient derived from the first k-space data to the second k-space data, and

the reconstructing unit reconstructs the magnetic resonance image by applying an interpolation coefficient derived from the sensitivity distributions to at least a part of the first k-space data and the third k-space data.

15. The apparatus according to claim 1 , wherein

the generating unit generates the third k-space data corresponding to each of the plurality of channels by applying an interpolation coefficient derived from the first k-space data to the second k-space data, and

the reconstructing unit reconstructs a second group of folded images corresponding to the plurality of channels from at least a part of the first k-space data and the third k-space data and further reconstructs the magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the second group of folded images.

16. The apparatus according to claim 1 , wherein the arranging unit arranges the magnetic resonance signals into the k-space so that the second interval are each an integer multiple of the first interval.

17. The apparatus according to claim 1 , wherein the arranging unit arranges magnetic resonance signals corresponding to a predetermined number of frames that are sequential in a time series so as to be positioned at the first interval and at the second interval also in a time direction.

18. The apparatus according to claim 1 , wherein, when arranging, into a k-space, magnetic resonance signals corresponding to a predetermined number of frames that are sequential in a time series, the arranging unit arranges the magnetic resonance signals in such a manner that positions where the k-space data are arranged and positions where the k-space data are not arranged are different for each of the frames.

19. An image processing apparatus comprising:

a storage unit configured to store therein k-space data obtained by arranging magnetic resonance signals acquired by implementing parallel imaging and correspond to a plurality of channels into a first region on a k-space so as to be positioned at first interval to generate first k-space data and into a second region larger than the first region so as to be positioned at second interval larger than the first interval to generate second k-space data;

a generating unit configured to generate third k-space data of the first interval corresponding to each of the plurality of channels, based on the second k-space data; and

a reconstructing unit configured to reconstruct a magnetic resonance image, based on the first k-space data, the third k-space data, and sensitivity distributions corresponding to the plurality of channels.

20. A magnetic resonance imaging apparatus comprising:

a memory storing therein k-space data; and

a processor,

the processor including

an arranging unit configured to arrange magnetic resonance signals that are acquired by implementing parallel imaging and correspond to a plurality of channels into a first region on a k-space so as to be positioned at first interval to generate first k-space data and into a second region larger than the first region so as to be positioned at second interval larger than the first interval to generate second k-space data;

a generating unit configured to reconstruct a first group of folded images corresponding to the plurality of channels from the second k-space data, reconstructs an intermediate magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the first group of folded images, and generates third k-space data at the first interval corresponding to each of the plurality of channels by performing an inverse reconstructing process on the intermediate magnetic resonance image based on the sensitivity distributions corresponding to the plurality of channels; and

a reconstructing unit configured to reconstruct a second group of folded images corresponding to the plurality of channels from at least a part of the first k-space data and the third k-space data and further reconstructs the magnetic resonance image by applying the sensitivity distributions corresponding to the plurality of channels to the second group of folded images.