Curvelet-fista-based magnetic resonance image compressed sampling reconstruction method
A magnetic resonance image and compressed sampling technology, which is applied in image data processing, 2D image generation, instruments, etc., can solve the problems of poor wavelet transform direction selectivity and poor detail reconstruction effect
Active Publication Date: 2018-08-17
NANJING MEDICAL UNIV
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[0027] In order to solve the problem of compressive sensing MRI image reconstruction, overcome the disadvantages of poor wavelet transform direction selectivity and poor detail reconstruction effect existing in the current compressive sensing algorithm [16] , the present invention provides a compression sampling MRI image reconstruction method based on curvelet-fista, the present invention integrates the Curvelet transform into the fast iterative shrinkage threshold algorithm, and the fast iterative shrinkage threshold algorithm [8] (Fast IterativeShrinkage-Thresholding Algorithm, FISTA) has a better recovery effect
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[0106] Below in conjunction with accompanying drawing and embodiment of description, specific embodiment of the present invention is described in further detail:
[0107] Such as Figure 1 to Figure 7 , a compression sampling magnetic resonance image reconstruction method based on curvelet-fista, the algorithm uses Curvelet transform combined with a fast iterative shrinkage threshold algorithm to achieve image reconstruction; the Curvelet-based fast iterative shrinkage threshold algorithm includes the following steps:
[0108] Step (1) Initialization: Given the iteration stop threshold ε, the image block observation matrix Φ, and the image observation matrix Y, set the iteration counter, Curvelet transform adaptive threshold shrinkage operator and k=1, t=0, λ respectively =λ 0 , μ=0.9;
[0109] Step (2) Curvelet sparse transformation:
[0110] Θ k+1 =C(X k+1 )
[0111] (5-1)
[0112] Among them, C is Curvelet sparse transformation;
[0113] Step (3) Perform fast iterat...
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The invention discloses a curvelet-fista-based magnetic resonance image compressed sampling reconstruction method. The method is characterized by comprising the following steps of (1) performing initialization; (2) performing Curvelet sparse transformation; and (3) performing fast iterative shrinkage threshold processing on an image, and calculating a coefficient matrix theta k by utilizing a fista. The invention provides a Curvelet transformation-based MR image compressed sensing reconstruction method; and by utilizing a superior characteristic of Curvelet sparse representation, a smooth partand an edge part of the image are expressed. A large coefficient of corresponding edge can achieve a very good energy concentration effect, and truncation is performed by adopting a fast iterative shrinkage threshold, so that the reconstruction effect of edge and detail parts is improved in the reconstruction process, and the overall reconstruction quality of the image is improved.
Description
technical field [0001] The invention relates to a compression sampling magnetic resonance image reconstruction method based on curvelet-fista. Background technique [0002] With the advancement of hardware and software technology, magnetic resonance imaging [1] (Magnetic resonance imaging, MRI) is increasingly widely used in clinical practice, compared with computed tomography [2] The advantage of (Computed Tomography, CT) technology is that it has no harm to the human body such as ionizing radiation, and it can image various soft tissues of the human body. The slow data scanning speed has always been the key problem restricting its further development, and there are many other problems caused by it. Therefore, the reasonable use of fast acquisition technology can not only shorten the examination time of MRI, but also improve the examination quality. [0003] compressed sensing [3] (Compressed Sensing, CS) theory, as an emerging theory in the field of signal acquisition ...
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CPCG06T11/003
Inventor王伟王翰林周宇轩
OwnerNANJING MEDICAL UNIV