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
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[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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