The single FIGURE is a flowchart for phase calibration of MRI pulse sequence in accordance with the present invention.
Referring to
Step 20: A corresponding pre-scan without a phase encoding gradient is performed before a scan so as to obtain pre-scan data, and the number of lines of data obtained in the pre-scan equals to that obtained in the scan. The difference between the pre-scan and the diagnostic scan is only with or without the phase encoding gradient, and the amounts of the scanned data obtained from the two are equal; whatever number of echoes are obtained in the scan, there would be the same number of corresponding echoes obtained in the pre-scan.
Step 21: Linear Fourier transformation is performed on the pre-scanned data to produce a corresponding k-space data set. The linear Fourier transformation preferably is a linear fast Fourier transformation.
Step 22: The linear phase is calculated according to the following formula:
wherein k represents the k-th echo in the pre-scan, Re and Im represent the real part and the imaginary part respectively, N represents the number of sampling points in each line of data in k-space, and n represents the n-th sampling point of each line in the k-space.
The linear phase is derived as:
φl(k)=a tan(Im,Re)
Step 23: After having subtracted the linear phase from the k-space of the pre-scanned data, the constant phase is calculated on the basis of the reference echo.
Step 24: The selection of the reference echo: in a practical system, the first echo obtained in the pre-scan is usually selected as the reference echo.
Step 25: The relevance between the reference echo and the echo in the pre-scan corresponding to the echo in the scan on which phase calibration is to be performed is calculated:
wherein k represents the k-th echo in the pre-scan, l represents the reference echo, Re and Im represent a real part and an imaginary part respectively, N represents the number of sampling points in each line of data in the k-space, and n represents the n-th sampling point in each line in the k-space.
The constant phase is derived as:
φc(k)=a tan 2(Im,Re).
By this point, the calculation on the pre-scanned data has produced the linear phase, and the constant phase which is correct and not affected by the phase jumping; therefore they can be used in a corresponding scan for phase calibration.
A corresponding phase calibration is performed on a corresponding echo obtained in a scan according to the following formula:
Aei
wherein A represents the amplitude, φf represents data after the phase calibration, φb represents data before the phase calibration, φl and φc represent respectively the linear phase and the constant phase calculated in the pre-scan.
Clear and artifact-free images can be obtained by image reconstruction on the data after they have been phase-calibrated.
The method of the present invention can be widely used in various types of MRI pulse sequences, particularly a TSE (Turbo Spin Echo) sequence an EPI (Echo Planar Imaging) sequence or an Trui-IR (overturn recover) sequence.
The present invention also embodies an apparatus for phase calibration of an MRI pulse sequence, which calculates a linear phase and a constant phase so as to perform phase calibration on the scanned data. A scan module acquires the scanned data, this module having a phase calibration module for calibrating the phase of echoes on the basis of the linear phase and the constant phase. The apparatus further has a pre-scan module for performing a corresponding pre-scan without a phase encoding gradient before starting a diagnostic scan. One of the echoes obtained in the pre-scan is selected as a reference echo. The constant phase is obtained by calculating the correlation between the reference echo and an echo in the pre-scan corresponding to an echo in the scan on which the phase calibration is to be performed, and the constant phase is used in the phase calibration module to perform phase calibration on a corresponding echo.
Although modifications and changes may be suggested by those skilled in the art, it is the intention of the inventors to embody within the patent warranted hereon all changes and modifications as reasonably and properly come within the scope of his contribution to the art.
Number | Date | Country | Kind |
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200610089180.0 | Aug 2006 | CN | national |