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Magnetic resonance imaging method based on Fourier transform magnetic resonance imaging overlap-type peak shape

A technology of Fourier transform and magnetic resonance imaging, which is applied in the direction of using nuclear magnetic resonance image system for measurement, magnetic resonance measurement, and magnetic variable measurement, can solve the problems of spatial resolution reduction, signal noise reduction, etc., and achieve enhanced signal strength , strong applicability, and the effect of improving resolution

Active Publication Date: 2018-02-23
FU JIAN JIA PU XIN KE TECH CO LTD
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Problems solved by technology

Of course, according to Equation 1, the magnetic resonance pixel can also reduce the area by prolonging the sampling time (or increasing the gradient), but if the pixel becomes smaller than the tolerable level, the signal-to-noise ratio will be seriously reduced, and the spatial resolution will be reduced instead.

Method used

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  • Magnetic resonance imaging method based on Fourier transform magnetic resonance imaging overlap-type peak shape
  • Magnetic resonance imaging method based on Fourier transform magnetic resonance imaging overlap-type peak shape
  • Magnetic resonance imaging method based on Fourier transform magnetic resonance imaging overlap-type peak shape

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Embodiment 1

[0156] Existing magnetic resonance imaging performs Fourier transform according to the pre-set magnetic field gradient frequency (or gradient phase) and sampling pixels. As long as the number of sampling points is large enough, the signal frequency will not be distorted. Whereas according to the equations in the magnitude peak shape of the Fourier transform provided above, including: Equation 10, Equation 11 or Equation 12, there is no need to predict additional parameters such as Figure 8 As shown, the raw data collected in k-space provides both signal strength and gradient frequency values. In order to ensure the gradient proton response peaks in the overall measurement range in detail, all sampling frequency components ω 0 Doing the superposition operation is equivalent to taking N times the time to complete the superposition of N components. The novel Fourier transform operation can be further optimized to group the frequency components appropriately. According to the a...

Embodiment 2

[0158] According to the existing Fourier transform theory, the magnetic resonance signal f(t) composed of harmonics needs to be discretely sampled, and the number of samples is set to N, and a group of discrete signal points f(0), f(1), f are intercepted (2),···,f(k),··,f(N-1). Discretized Fourier transform results in N data F(0), F(1), F(2),··F(k),···,F(N-1), expressed in matrix

[0159]

[0160] In the formula, W=exp(-i2π / N) of the N×N Fourier transform matrix.

[0161] According to the superposition theory, add a diagonal superposition matrix to the original Fourier transform matrix, and get:

[0162]

[0163] Further, in this embodiment, it is possible to determine whether the diagonal matrix elements are 2 or 0, or a decimal close to 0, column by column, or within the preset resolution condition ΔN area. Since the magnetic resonance imaging sets the number of pixels based on computer binary, the diagonal of the matrix can be sorted by 2, 0, 2, 0... according to th...

Embodiment 3

[0171] According to the two symmetrical superposition functions proposed above, see Equation 5.1 and Equation 5.2, the front and back left (right) superposition and right (left) superposition can be performed synchronously on adjacent harmonic signals, as shown in Figure 15 As can be seen, the partially overlapping adjacent two peaks shown by the dotted line can achieve the resolution equivalent to four times the Fourier transform, and the solid line shows the effect of the superposition transform.

[0172] Figure 13 In the MRI of the artificial membrane, after expanding the k-space data by one time, the method 1 is used to perform Fourier superposition transformation, and the obtained extremely clear as Figure 16 Images shown with 1024x1024 pixel spatial resolution.

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Abstract

The invention relates to a magnetic resonance imaging method based on Fourier transform magnetic resonance imaging overlap-type peak shapes; the method comprises the following steps: carrying out Fourier transform for k space signals in a NMR imaging device, thus obtaining a Fourier transform absorption peak shape, a Fourier transform divergence peak shape and a Fourier transform amplitude peak shape, and respectively discretizing said peak shapes; using an overlap function to overlap obtained peak shapes, thus respectively obtaining a Fourier transform overlap absorption peak shape, a Fouriertransform overlap divergence peak shape, a Fourier transform overlap amplitude peak shape and discretized signals; carrying out magnetic resonance imaging. The magnetic resonance imaging method basedon Fourier transform magnetic resonance imaging overlap-type peak shapes can narrow down the Fourier transformed peak width by half, thus doubling the peak value signals; the method uses the same sampling time to obtain the doubled magnetic field, thus reducing the sampling time by half on the same equipment, and obtaining the same pixel imaging effect.

Description

technical field [0001] The invention relates to the fields of mathematical transformation, signal processing and magnetic resonance imaging, in particular to a magnetic resonance imaging method based on Fourier transform magnetic resonance imaging superposition peak shape. Background technique [0002] Mathematical transformations are widely used in signal processing, spectral analysis, and digital images. All of these technologies have been working on how to improve signal resolution, reduce noise, and quickly realize data acquisition and conversion. With the rapid development of existing computer technology, data acquisition, storage, calculation and display are basically no longer the restrictive factors to be considered in mathematical transformation. [0003] Magnetic resonance imaging is a modern and widely used medical imaging technology. The principle is based on the fact that when the spinning nuclei are placed in a magnetic field, they can absorb external radio fr...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R33/48G01R33/56
CPCG01R33/4822G01R33/5608
Inventor 陈舒平
Owner FU JIAN JIA PU XIN KE TECH CO LTD
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