Construction method for measurement matrix of compressed sensing magnetic resonance images based on chaotic system

A magnetic resonance image and chaotic system technology, applied in the construction of magnetic resonance image measurement matrix, the field of compressed sensing magnetic resonance image measurement matrix construction, can solve the problem of poor non-coherent characteristics of the measurement matrix, and achieve good non-coherent characteristics and effects Good results

Inactive Publication Date: 2016-09-21
HARBIN UNIV OF SCI & TECH
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Problems solved by technology

[0006] The purpose of the present invention is to solve the problem of poor incohe

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  • Construction method for measurement matrix of compressed sensing magnetic resonance images based on chaotic system
  • Construction method for measurement matrix of compressed sensing magnetic resonance images based on chaotic system
  • Construction method for measurement matrix of compressed sensing magnetic resonance images based on chaotic system

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Embodiment Construction

[0029] The specific embodiment of the present invention is described in conjunction with accompanying drawing, the present invention is based on the measurement matrix construction method of the compressive sensing magnetic resonance image of chaotic system, comprises the following steps:

[0030] Step 1, using the Runge-Kutta method to solve the Rossler chaotic differential equations to obtain the track of the Rossler chaotic system;

[0031] The Rossler chaotic differential equations described in step 1 are:

[0032] dx(t) / dt=-y(t)-z(t)

[0033] dy(t) / dt=x(t)+ay(t)

[0034] dz(t) / dt=c+x(t)z(t)-bz(t) (1)

[0035] Where a=0.2, b=5.7, c=0.2, the equilibrium point of the chaotic system can be obtained by ordering the differential term of the differential equation in formula (1) to be zero, the Rossler chaotic system has two stable equilibrium points, two equilibrium points The coordinates of F1 and F2 are shown in formula (2) and formula (3) respectively.

[0036] ...

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Abstract

The invention relates to a method for constructing a measurement matrix of a compressed sensing magnetic resonance image based on a chaotic system, and relates to a method for constructing a measurement matrix of a magnetic resonance image. The purpose of the present invention is to solve the problem of poor incoherence characteristics of the measurement matrix constructed by the existing method. The present invention utilizes the Runge-Kutta method to solve the Rossler chaotic differential equations to obtain the track of the Rossler chaotic system; intercept a part of the x-y plane phase diagram of the Rossler chaotic system according to the FOV of k space as the chaotic measurement track curve; The maximum gradient amplitude of the gradient field of the magnetic resonance imaging scanner and the maximum conversion rate of the gradient magnetic field are used to calculate the time-optimal gradient waveform of the curve; the curve is rotated along the center of k-space, and the final chaotic measurement matrix is ​​obtained through multiple excitations . The measurement matrix of the invention has better non-coherence characteristics, and the reconstruction image obtained by using the measurement matrix constructed by the method of the invention has a better effect.

Description

technical field [0001] The invention relates to a method for constructing a measurement matrix of a magnetic resonance image, in particular to a method for constructing a measurement matrix of a compressed sensing magnetic resonance image based on a chaotic system, and belongs to the technical field of medical magnetic resonance imaging detection. Background technique [0002] Magnetic resonance imaging (Magnetic Resonance Imaging, MRI) is a method based on the spin characteristics of biological nuclei, using radio frequency pulses to excite objects in a static magnetic field to generate magnetic resonance signals, and at the same time encode them in frequency and phase space (K space), A technology that uses Fourier transform to obtain digital images. It is widely used in medical imaging due to its advantages of no damage, multiple image types and high image contrast in the process of examining patients, but its further development is limited due to its long data acquisitio...

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Application Information

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IPC IPC(8): G06T11/00
CPCG06T11/005G06T2207/10088G06T2211/416
Inventor 宋立新梁晶曾皓
Owner HARBIN UNIV OF SCI & TECH
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