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A high-resolution reconstruction method for a magnetic resonance diffusion sequencing spectrum

A high-resolution, magnetic resonance technology, applied in the field of high-resolution reconstruction of magnetic resonance diffusion sorting spectra, can solve problems such as spectral peak broadening and spectral resolution reduction, and achieve simple operation, great application prospects, and high resolution. Effect

Active Publication Date: 2019-04-16
XIAMEN UNIV
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Problems solved by technology

Although the inverse Laplace transform can effectively distinguish the spectral peaks in the case of overlapping spectral peaks, the reconstructed diffusion sorting spectrum tends to broaden the spectral peaks, resulting in a decrease in spectral resolution.

Method used

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  • A high-resolution reconstruction method for a magnetic resonance diffusion sequencing spectrum
  • A high-resolution reconstruction method for a magnetic resonance diffusion sequencing spectrum
  • A high-resolution reconstruction method for a magnetic resonance diffusion sequencing spectrum

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Embodiment Construction

[0034] The following embodiments will further illustrate the present invention in conjunction with the accompanying drawings.

[0035] The following embodiment will reconstruct a one-dimensional magnetic resonance diffusion sorting spectrum simulation signal, including two spectral peaks. The number of sampling points for the gradient field attenuation signal is 32 points, which is equivalent to selecting 32 different gradient field strengths from small to large in the experiment. Specific steps are as follows:

[0036] 1) Construct the sparse reconstruction model of magnetic resonance diffusion sorting spectrum:

[0037]

[0038] In formula (1), x is the MRI diffusion sorting spectrum to be reconstructed, K is the Laplace transform matrix with dimension 32×300, y is the gradient field attenuation signal with dimension 300×1, ||.|| 2 is the two-norm of the vector, ||.|| 1 is a norm of the vector, λ=0.001 is a regularization parameter, used to weigh and ||x|| 1 The imp...

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Abstract

The invention discloses a high-resolution reconstruction method of a magnetic resonance diffusion sequencing spectrum, and relates to the magnetic resonance diffusion sequencing spectrum. The method includes: Constructing a magnetic resonance diffusion sequencing spectrum sparse reconstruction model; Forming the constrained model into an unconstrained model; Initializing parameters t and x; The method comprises the following steps of: 1, calculating a solution of a Newtonian linear equation set as a descending direction x by adopting a PCG algorithm; (2) calculating a descending step length sby adopting a backtracking straight line method; 3, updating an iteration value x = x + sx; 4, constructing a dual feasible point v; (5) judging whether Eta / G (v) is smaller than a preset precision value = 10 -8 or not; 8, if so, exiting the cycle. 6, updating t, and executing the step 1 again; and outputting a reconstructed spectrograms x.

Description

technical field [0001] The invention relates to magnetic resonance diffusion sorting spectrum, in particular to a high-resolution reconstruction method of magnetic resonance diffusion sorting spectrum. Background technique [0002] Magnetic resonance diffusion sorting spectroscopy is widely used in the fields of clinical medicine and biotechnology, and can be used to identify molecular species, structures and quantitative analysis in mixtures. To obtain a diffusion sorting spectrum, it is necessary to extract and analyze the attenuation constant of the signals collected under different gradient field strengths in the diffusion experiment. The attenuation of the spectral peak signal strength with the increase of the gradient field strength corresponds to the diffusion coefficient of the substance. . The traditional method of calculating the diffusion coefficient generally adopts the single-exponential fitting method, which is to fit the signal intensity of each spectral peak...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T3/40
CPCG06T3/4053
Inventor 林恩平杨钰黄玉清陈忠
Owner XIAMEN UNIV
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