Method and apparatus for extended phase correction in phase sensitive magnetic resonance imaging
US-2017011536-A1 · Jan 12, 2017 · US
US10459052B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10459052-B2 |
| Application number | US-201516067204-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 30, 2015 |
| Priority date | Dec 30, 2015 |
| Publication date | Oct 29, 2019 |
| Grant date | Oct 29, 2019 |
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Provided are a magnetic resonance chemical-shift-encoded imaging method, apparatus, and device, belonging to the technical field of magnetic resonance imaging. The method comprises: in a phasor-error plot established on the basis of a two-point magnetic resonance signal model, determining to be an initial seed point a pixel having a unique phasor and causing said plot to reach a minimal local value; according to the initial seed point, estimating the phasor value of a to-be-estimated pixel to obtain a field map; mapping and merging the field map at the highest resolution to obtain a reconstructed field map; determining a reconstructed seed point from the reconstructed field map, and estimating the reconstructed seed point to obtain the phasor value of the reconstructed to-be-estimated pixel; according to the reconstructed seed point and the phasor value of the reconstructed to-be-estimated pixel, obtaining two separate images having predetermined components. In the method, a region simultaneously containing two components is identified as a seed point, eliminating the deviation caused by phasor-value jump at high resolution and ensuring the correctness of the seed point ultimately selected.
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What is claimed is: 1. A magnetic resonance chemical-shift-encoded imaging method, comprising: providing predetermined resolutions; establishing a phasor-error spectrum based on a two-point magnetic resonance signal model in a sampled image at each of the predetermined resolutions; determining to be an initial seed point a pixel point having a unique phasor value in the phasor-error spectrum and enabling the phasor-error spectrum to reach a local minimum value; estimating a phasor value of a to-be-estimated pixel point according to the initial seed point to obtain a field pattern at each of the predetermined resolutions; mapping, at a highest resolution, the field patterns at the predetermined resolutions respectively to obtain a plurality of field patterns at the highest resolution, and merging the plurality of field patterns to obtain a reconstructed field pattern; determining a reconstructed seed point from the reconstructed field pattern, and estimating based on the reconstructed seed point to obtain a phasor value of the reconstructed to-be-estimated pixel point; and obtaining separated images of two predetermined components according to the phasor values of the reconstructed to-be-estimated pixel point and the reconstructed seed point. 2. The method according to claim 1 , wherein obtaining separated images of two predetermined components according to the phasor values of the reconstructed to-be-estimated pixel point and the reconstructed seed point comprises: obtaining the separated images of the two predetermined components after smoothing the reconstructed field pattern. 3. A computer readable storage medium, comprising computer instructions, when the computer instructions are executed, executing the method of claim 1 . 4. The method according to claim 1 , wherein determining to be the initial seed point the pixel point having a unique phasor value and enabling the phasor-error spectrum to reach the local minimum value comprises: obtaining a phasor-error spectrum of each pixel point in the image in the predetermined resolution, and determining, according to the phasor-error spectrum, the phasor value that enables the pixel point to reach the local minimum value; and determining the pixel point to be the initial seed point if the pixel point has a signal-to-noise ratio greater than the predetermined value and has a unique phasor value. 5. The method according to claim 4 , wherein determining the pixel point having the unique phasor value comprises: determining, if the pixel point has only one local minimum value enabling the fitting error to be less than a predetermined value, the local minimum value to be the unique phasor value of the pixel point. 6. The method according to claim 4 , wherein the phasor-error spectrum is determined through the following formula: d =arg min err( d )=arg minΣ(1− AA + )∘( SS T ) S =[Re( Ŝ 1 );Re( Ŝ 2 );Im( Ŝ 1 );Im( Ŝ 2 )], wherein d indicates the phasor-error spectrum; I indicates 4×4 matrix; superscript ‘+’ indicates to take matrix pseudo-inverse, A + =(A T A) −1 A T ; a connector “∘” indicates a dot product; err(d) describes a relationship between phasor d and the fitting error; and ŝ 1 and ŝ 2 indicate predetermined row vectors. 7. The method according to claim 5 , wherein estimating the phasor value of the to-be-estimated pixel point according to the initial seed point comprises: determining, if the to-be-estimated pixel point comprises a plurality of local minimum values, the local minimum values having the fitting errors less than the predetermined value to be a plurality of phasor values of the to-be-estimated pixel point; and selecting, from the plurality of phasor values of the to-be-estimated pixel point, the phasor value having the maximum similarity with the phasor values of adjacent seed points to be the phasor value of the to-be-estimated pixel point. 8. The method according to claim 7 , wherein a maximum similarity between a plurality of phasor values of the to-be-estimated pixel point and phasor values of adjacent seed points is determined through the following formula: d =arg max{ D 1 ,D 2 , . . . ,D S } wherein D 1 , D 2 . . . D s indicate the similarity of phasor and are determined through the following formula: D s = ∑ k = 1 K m k cos ( angle ( d s * conj ( d k ) ) ) ∑ k = 1 K m k wherein K indicates the quantity of seed points in eight neighborhoods of the current to-be-estimated pixel point; m k indicates the amplitude of the k-th seed point; the corresponding phasor value is d k , which indicates a phasor candidate value of the current to-be-estimated pixel point; conj(.) indicates to take complex conjugate; and angle(.) indicates to take an angle. 9. The method according to claim 8 , wherein estimating the phasor value of the to-be-estimated pixel point according to the initial seed point further comprises: selecting the to-be-estimated pixel point having an amplitude greater than a first threshold to establish a first to-be-estimated pixel point set; obtaining a phase difference between each two of adjacent seed points of each to-be-estimated pixel point in the first to-be-estimated pixel point set, and selecting the to-be-estimated pixel point having a maximum phase difference less than a second threshold to establish a second to-be-estimated pixel point set; arranging to-be-estimated pixel points in the second to-be-estimated pixel point set in a descending order based on the quantity of the adjacent seed points, and selecting a predetermined quantity of to-be-estimated pixel points to establish a third to-be-estimated pixel point set; obtaining the maximum phase similarity between the to-be-estimated pixel po
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