Hypercomplex magnetic resonance spectrum reconstruction method based on deep learning
A technology of deep learning and deep learning network, which is applied in the field of hypercomplex magnetic resonance spectrum reconstruction based on deep learning, can solve the problems of long spectral reconstruction time, high time complexity, and high time consumption, and achieve fast reconstruction of spectrum and high dimensionality High, time-consuming effect
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[0026] The following embodiments will further illustrate the present invention in conjunction with the accompanying drawings.
[0027] In the embodiment of the present invention, the hypercomplex magnetic resonance signal generated by an exponential function is used to train the network, and then a two-dimensional hypercomplex magnetic resonance spectrum is reconstructed from the undersampled hypercomplex magnetic resonance time domain signal. The specific implementation process is as follows:
[0028] 1) Using formula (1) to generate hypercomplex magnetic resonance spectrum time domain signals. Fully sampled time-domain signals for hypercomplex magnetic resonance spectroscopy Constructed by formula (1):
[0029]
[0030] in, Represents a set of hypercomplex numbers, N and M represent the number of rows and columns of time-domain signals, Indicates the signal The nth row and the data in the mth column, R represents the number of spectral peaks, a r Indicates the m...
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