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A High Resolution Reconstruction Method of Magnetic Resonance Diffusion Sorting 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

Active Publication Date: 2022-05-17
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 of Magnetic Resonance Diffusion Sorting Spectrum
  • A High Resolution Reconstruction Method of Magnetic Resonance Diffusion Sorting Spectrum
  • A High Resolution Reconstruction Method of Magnetic Resonance Diffusion Sorting Spectrum

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Embodiment Construction

[0033] The following embodiments will further illustrate the present invention in conjunction with the accompanying drawings.

[0034] 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:

[0035] 1) Construct the sparse reconstruction model of magnetic resonance diffusion sorting spectrum:

[0036]

[0037] 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

A method for high-resolution reconstruction of magnetic resonance diffusion sorting spectra, relating to magnetic resonance diffusion sorting spectra. Construct the sparse reconstruction model of magnetic resonance diffusion sorting spectrum; transform the constrained model into an unconstrained model; initialize parameters t and x; perform the following sub-steps in a loop: ①Use the PCG algorithm to calculate the solution of Newton’s linear equations as the descending direction Δx; ②Use backtracking Calculate the descending step s with the straight-line method; ③ update the iteration value x=x+sΔx; ④ construct a dual feasible point v; ⑤ judge whether η / G(v) is less than the preset precision value ε=10 ‑8 , if satisfied, exit the loop. ⑥Update t, and jump back to step ①; output the reconstructed spectrum 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 Patents(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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