A novel technique is presented for reconstructing accurate NMR images from projections under inhomogeneous main magnetic field. The mathematical basis and the point-spread functions of such a curvilinear reconstruction for two- and three-dimensional imagings are fully described. The proper use and the effectiveness of this technique are demonstrated by computer simulations. The promising results presented could strongly influence practices in the design, manufacture and use of the main magnet for NMR imaging by the projections method.
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