Method for reconstructing MRI signals resulting from time-varyin

Details Method for reconstructing MRI signals resulting from time-varyin Method for reconstructing MRI signals resulting from time-varyin

1989-07-14

1991-01-01

Tokar, Michael J.

Electricity: measuring and testing

Particle precession resonance

Using a nuclear resonance spectrometer system

G01R 3354

Patent

active

049821628

ABSTRACT:
A method to recover MRI signals resulting from the application of time varying gradients. The raw MRI signal is demodulated, low pass filtered, and digitized using an A/D converter sampling linearly at the Nyquist rate. The samples from the A/D converter are compiled into a vector, which is multiplied by a least squares estimator matrix (H*H).sup.- H*, where H is a matrix whose mkth element, in the case of a sinusoidal gradient, is given by ##EQU1## This multiplication is repeated for each vector of samples from the A/D converter, and the vectors resulting from the multiplication are accumulated to form the columns of a matrix, the rows of which are Fourier transformed to obtain the MRI image.

REFERENCES:
patent: 4315216 (1982-02-01), Clow et al.
patent: 4639671 (1987-01-01), Macovski
patent: 4740750 (1988-04-01), Machida
Maeda et al., "Reconstruction by Weighted Correlation for MRI . . .", IEEE Transactions on Medical Imaging, vol. 7, No. 1, Mar. 1988.

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