A hardi compressed sensing super-resolution reconstruction method based on deep dictionary learning
A technology of super-resolution reconstruction and dictionary learning, applied in instruments, graphics and image conversion, computing, etc., can solve the problem of weak dictionary expression ability, and achieve good nerve fiber reconstruction ability, small amount of sampling data, and fast data sampling speed. Effect
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[0027] A detailed description will be given below in conjunction with the accompanying drawings.
[0028] The original signal in the present invention refers to a high-resolution signal that has not been down-sampled.
[0029] The signal to be reconstructed in the present invention refers to a low-resolution signal obtained after the sample is down-sampled by the measurement matrix.
[0030] figure 1 is a schematic diagram of compressed sensing for a single-layer dictionary. Such as figure 1 As shown, x is the original signal. In practice, the acquisition time of the original signal is too long, which is not convenient for acquisition. y is the signal to be reconstructed, that is, the actual measurement signal, α is the sparse signal, Ψ and Φ are the dictionary and the measurement matrix, respectively.
[0031] The mathematical expression of single-layer compressed sensing is:
[0032] x=Ψ*α (1)
[0033] y=Φ*Ψ*α (2)
[0034] The data is compressed and sampled by measuri...
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