Modified Method for Reconstructing the Image from Projections in Magnetic Resonance Tomography

Abstract

A method for reconstructing the image from projections in magnetic resonance tomography using an excitation pulse with a linear frequency modulation has been considered. The shape of the spin echo envelope coincides with the projection of the spin density onto the direction of the axis along which the magnetic field gradient is applied. The spin echo excitation by a sinc pulse and a pulse with a linear frequency modulation has been simulated. The former pulse excites the required cross section of a 3D object, while the latter pulse has made it possible to form the spin echo envelope, which coincides in shape with the projection of the spin density of nuclei onto the direction of the gradient. The set of the projections onto different directions of the gradient has made it possible to reconstruct the 2D image of a section.