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Quick reconstruction method for under-sampling magnetic resonance spectra

A magnetic resonance and undersampling technology, which is applied in the direction of measuring magnetic variables, measuring devices, instruments, etc., can solve the problems of high complexity and long spectral reconstruction time

Active Publication Date: 2017-05-10
XIAMEN UNIV OF TECH
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Problems solved by technology

However, this method requires a complex singular value decomposition when iteratively solving the minimum nuclear norm term, resulting in a long time for spectral reconstruction

Method used

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  • Quick reconstruction method for under-sampling magnetic resonance spectra
  • Quick reconstruction method for under-sampling magnetic resonance spectra
  • Quick reconstruction method for under-sampling magnetic resonance spectra

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Embodiment Construction

[0025] In this embodiment, the two-dimensional magnetic resonance spectrum will be reconstructed, and the direct and indirect dimensions are respectively N 1 = 256 and N 2 =116, containing 87 peaks. According to the undersampling template, the magnetic resonance spectrum time domain signal is undersampled, and 30% of the data is collected, then the total number of magnetic resonance spectrum data points in this embodiment is 29696 points, and the total sampling data points obtained when the undersampling rate is 30% for 8909 points. Regularization parameter λ=10 6 , β=1. see figure 1 , the specific steps of this embodiment are as follows:

[0026] 1) Undersampling the time domain signal of the magnetic resonance spectrum: Undersampling the two-dimensional magnetic resonance signal, given a set of numbers with the same dimension as the expected full sampling signal and the value of 0 or 1 (such as figure 2 As shown, black represents 0, white represents 1), which is used ...

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Abstract

The invention discloses a quick reconstruction method for under-sampling magnetic resonance spectra, and relates to magnetic resonance spectra. The method comprises the steps of firstly, performing under-sampling on time domain signals of magnetic resonance spectra, and filling a Hankel matrix with sampling data; then reconstructing complete time domain signals by using the low rank characteristic of the matrix, and performing Fourier transformation to obtain high-quality spectra, wherein in the process, the minimization of a matrix nuclear norm item is approached by using a matrix factorization method and minimizing a matrix Frobenius norm item, so that singular value decomposition used when the nuclear norm item is solved is avoided, and the effect of accelerating reconstruction is achieved. The method is excellent in effect and easy to operate, and can be applied to under-sampling magnetic resonance spectrum reconstruction of one, two and higher dimensions.

Description

technical field [0001] The invention relates to a magnetic resonance spectrum, in particular to a fast reconstruction method of an under-sampled magnetic resonance spectrum based on a time-domain signal low-rank Hankel matrix. Background technique [0002] Magnetic resonance spectroscopy is widely used in clinical medicine and biotechnology, among which high-dimensional magnetic resonance spectroscopy is favored because it can provide rich information. But for high-dimensional NMR spectroscopy, long sampling time is one of the problems that need to be solved urgently. Using undersampling (relative to full sampling under the Nyquist criterion) to reduce the number of sampling points in the indirect dimension is a method to shorten the NMR sampling time. However, undersampling does not satisfy the Nyquist sampling condition, which can easily cause spectral peaks to overlap and form false peaks. To obtain high-quality spectra, these spectra can be reconstructed from undersamp...

Claims

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Application Information

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IPC IPC(8): G01R33/561
CPCG01R33/561
Inventor 郭迪
Owner XIAMEN UNIV OF TECH
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