Magnetic resonance rapid imaging method based on fractional Fourier transform

Abstract

The invention relates to a magnetic resonance rapid imaging method based on fractional Fourier transform. The magnetic resonance fast imaging method based on the fractional Fourier transform is characterized by comprising the following steps that 1, the problem that the energy is uniformly distributed is expressed as the optimization problem that an optimal rotation angle of the fractional Fouriertransform is searched for, and the optimal rotation angle of the fractional Fourier is obtained by solving; 2, the optimal angle is decomposed into a product of the Fourier transform and a chirp function through the fractional Fourier; 3, separated chirp function terms are realized through RF pulses; and 4, a track is expressed as a display form of a point spread function, a peak value of a sampling position of a corresponding image area is estimated by calculating a Jacobian matrix of the sampling track, and support is provided for reasonably selecting a sampling interval in continuous k-space so as to improve the randomness of the sampling track. According to the method, an imaging object is rotated for the optimal Fourier rotation angle, so that the problem of non-uniform energy distribution of traditional Fourier coding can be solved.

Description

technical field [0001] The invention relates to a magnetic resonance fast imaging method based on fractional Fourier transform. Background technique [0002] As the most promising imaging method, MRI (Magnetic Resonance Imaging, MRI) has become the "eye" of modern clinical medicine, but there is a bottleneck problem of slow scanning speed, which limits its application in critical and severe diseases. Motion artifacts often require breath-holding, which is nearly impossible in critically ill patients. Compressed Sensing (CS), as a new theory of reducing sampling data from the source, is regarded as the most promising fast MRI method. In 2007, with the introduction of Compressed Sensing MRI (CS-MRI), CS-MRI has attracted much attention because of its great potential in speeding up MRI scans, and has quickly become a research hotspot. . However, the speedup* achieved so far in CS-MRI clinical trials is far from fully exploiting the potential of CS theory to greatly downsampl...

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Problems solved by technology

[0006] Aiming at the deficiencies of the prior art, the present invention provides a fast magnetic resonance imaging method based on fractional Fourier transform. The method rotates the imaging object at an optimal Fourier rotation angle, thereby being able to change the traditional Fourier encoding energy distribution. uniform problem

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