Magnetic resonance imaging apparatus and image reconstruction program

1. A magnetic resonance imaging apparatus, comprising:

processing circuitry configured to

acquire a k-space data group including a plurality of pieces of k-space data with undersampling in an axis of k-space and in an axis of time direction;

rearrange the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

perform a reconstruction process on the plurality of pieces of k-space data to generate an image group; and

control a display to display a plurality of images in the image group,

wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data such that when the acquired k-space data group is periodically arranged, a function representing signal intensity of a plurality of images corresponding to a connection between two adjacent k-space data groups has continuity.

2. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to perform control such that a plurality of images included in the generated image group are output in a third order different from the second order.

3. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data into the second order, based on signal intensity of a plurality of images corresponding to the plurality of pieces of k-space data.

4. The magnetic resonance imaging apparatus according to claim 2 , wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data such that a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the second order is smaller than a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the first order.

5. The magnetic resonance imaging apparatus according to claim 3 , wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data such that a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the second order is smaller than a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the first order.

6. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to acquire the plurality of pieces of k-space data such that the rearranged k-space data group is adapted to the reconstruction process.

7. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to generate a time-series image group by transforming the rearranged k-space data group into x-f space data including image space and time spectrum by Fourier transform, generate x-f space data with an aliased signal being removed in the x-f space data, and transform the generated x-f space data into an x-t space data group by inverse Fourier transform.

8. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to acquire the plurality of pieces of k-space data in a slice direction.

9. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to refer to a memory storing therein a plurality of orders, each of which corresponds to one of subject body types and one of sequence types, obtain, as the second order, one of the orders corresponding to a sequence type in acquisition of the plurality of pieces of k-space data and a subject body type from which the plurality of pieces of k-space data are acquired, and rearrange the plurality of pieces of k-space data into the obtained second order.

10. The magnetic resonance imaging apparatus according to claim 1 , wherein the processing circuitry is further configured to perform the reconstruction process on the rearranged k-space data group to generate the image group, the reconstruction process including a process of transformation assuming that the rearranged k-space data group is periodically arranged.

11. The magnetic resonance imaging apparatus according to claim 2 , wherein the processing circuitry is further configured to perform the reconstruction process on the rearranged k-space data group to generate the image group, the reconstruction process including a process of transformation assuming that the rearranged k-space data group is periodically arranged.

12. The magnetic resonance imaging apparatus according to claim 3 , wherein the processing circuitry is further configured to perform the reconstruction process on the rearranged k-space data group to generate the image group, the reconstruction process including a process of transformation assuming that the rearranged k-space data group is periodically arranged.

13. A magnetic resonance imaging apparatus, comprising:

processing circuitry configured to

acquire a k-space data group including a plurality of pieces of k-space data with undersampling in an axis of k-space and in an axis of time direction;

rearrange the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

perform a reconstruction process on the plurality of pieces of k-space data to generate an image group; and

control a display to display a plurality of images in the image group,

wherein the processing circuitry is further configured to set a pattern of undersampling acquisition such that when the acquired k-space data group is periodically arranged, a function representing signal intensity of a plurality of images corresponding to a connection between two adjacent k-space data groups has continuity.

14. The magnetic resonance imaging apparatus according to claim 13 , wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data such that a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the second order is smaller than a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the first order.

15. The magnetic resonance imaging apparatus according to claim 13 , wherein the processing circuitry is further configured to perform the reconstruction process on the rearranged k-space data group to generate the image group, the reconstruction process including a process of transformation assuming that the rearranged k-space data group is periodically arranged.

16. A magnetic resonance imaging apparatus, comprising:

processing circuitry configured to

acquire a plurality of pieces of k-space data with undersampling in at least one of axes of k-space and in a certain axis different from the axes of k-space;

rearrange the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

perform a reconstruction process on a rearranged k-space data group to generate an image group; and

control a display to display a plurality of images in the image group,

wherein the processing circuitry is further configured to rearrange the plurality of pieces of k-space data such that a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the second order is smaller than a difference between a signal intensity of an image corresponding to first k-space data and a signal intensity of an image corresponding to last k-space data in the first order.

17. A magnetic resonance image reconstruction method, comprising:

acquiring a k-space data group including a plurality of pieces of k-space data with undersampling in an axis of k-space and in an axis of time direction;

rearranging the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

performing a reconstruction process on the plurality of pieces of k-space data to generate an image group; and

controlling a display to display a plurality of images in the image group,

wherein the rearranging comprises rearranging the plurality of pieces of k-space data such that when the acquired k-space data group is periodically arranged, a function representing signal intensity of a plurality of images corresponding to a connection between two adjacent k-space data groups has continuity.

18. A magnetic resonance image reconstruction method, comprising:

acquiring a k-space data group including a plurality of pieces of k-space data with undersampling in an axis of k-space and in an axis of time direction;

rearranging the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

performing a reconstruction process on the plurality of pieces of k-space data to generate an image group; and

controlling a display to display a plurality of images in the image group,

wherein the acquiring comprises setting a pattern of undersampling acquisition such that when the acquired k-space data group is periodically arranged, a function representing signal intensity of a plurality of images corresponding to a connection between two adjacent k-space data groups has continuity.

19. A magnetic resonance image reconstruction method, comprising:

acquiring a plurality of pieces of k-space data with undersampling in at least one of axes of k-space and in a certain axis different from the axes of k-space;

rearranging the plurality of pieces of k-space data into a second order different from a first order in which the plurality of pieces of k-space data are acquired;

performing a reconstruction process on a rearranged k-space data group to generate an image group; and controlling a display to display a plurality of images in the image group,

wherein the rearranging comprises rearranging the plurality of pieces of k-space data such that difference between signal intensity of an image corresponding to first k-space data and signal intensity of an image corresponding to last k-space data in the second order is smaller than difference between signal intensity of an image corresponding to first k-space data and signal intensity of an image corresponding to last k-space data in the first order.