Rapid super-complex magnetic resonance spectrum reconstruction method

A technology of magnetic resonance and hypercomplexity, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as unfavorable application and promotion of magnetic resonance spectroscopy, accelerated sampling time, and long time consumption

Active Publication Date: 2017-12-01
XIAMEN UNIV
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Problems solved by technology

However, the process of obtaining complete high-quality two-dimensional magnetic resonance spectroscopy data is usually time-consuming, which is not conducive to the application and promotion of magnetic resonance spectroscopy. Therefore, it is particularly important to undersample the magnetic resonance spectroscopy data to speed up the sampling time.

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  • Rapid super-complex magnetic resonance spectrum reconstruction method
  • Rapid super-complex magnetic resonance spectrum reconstruction method
  • Rapid super-complex magnetic resonance spectrum reconstruction method

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Embodiment Construction

[0057] In this embodiment, two-dimensional hypercomplex magnetic resonance spectra will be reconstructed, and the sizes of the direct dimension and the indirect dimension are respectively N=110 and M=100. According to the undersampling template, the ultra-complex magnetic resonance spectrum time domain signal is undersampled, and 25% of the data is collected, then the total number of magnetic resonance spectrum data points in this embodiment is 11000 points, and the total sampling obtained when the undersampling rate is 25% The number of data points is 2750 points. Regularization parameter λ=10 6 , β=1. Specific steps are as follows:

[0058] 1) Use hypercomplex numbers to represent magnetic resonance spectra: hypercomplex numbers are used to represent phase sensitive spectra in magnetic resonance spectra, and hypercomplex magnetic resonance spectra to be reconstructed The time domain signal of is expressed as:

[0059]

[0060] in, represents the set of hypercomplex...

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Abstract

The invention discloses a rapid super-complex magnetic resonance spectrum reconstruction method, relates to magnetic resonance spectrums, and provides a method for reconstructing complete magnetic resonance spectrums from under-sampled super-complex magnetic resonance spectrums. The method comprises the following steps of: firstly filling an obtained under-sampled super-complex magnetic resonance spectrum into a blocked Hankel matrix; converting the super-complex blocked Hankel matrix into a super-complex companion matrix; constructing a reconstruction model, a nuclear norm of which corresponding to the super-complex companion matrix is minimized; and finally solving the reconstruction model by adoption of a rapid algorithm, so as to obtain a complete magnetic resonance spectrum.

Description

technical field [0001] The invention relates to a magnetic resonance spectrum, in particular to a fast reconstruction method of a hypercomplex magnetic resonance spectrum. Background technique [0002] In biomedical engineering, magnetic resonance spectroscopy, as a widely used method for determining molecular structure, analyzes the metabolites of human tissues, molecular groups of compounds and protein space structures through the collected spectrum. It is widely used in medicine, chemistry and biology. It has a very wide range of applications in fields such as science. Among them, one-dimensional magnetic resonance experiments usually use orthogonal detection, and each dimension is composed of real part and imaginary part. Through phase modulation, the real part is a pure absorption line type, and the imaginary part is a pure dispersion line type. The pure absorption line that shows the real part is the corresponding phase-sensitive spectrum. For a phase-sensitive spect...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 屈小波
Owner XIAMEN UNIV
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