1. A method for obtaining a high-spatial-resolution NMR image of a sample containing first and second chemically-shifted nuclei, the method comprising the steps of: (a) forming a first NMR image of a selected region of the sample from projections along a first line extending in a first direction; (b) forming a second NMR image of the selected region from projections along the same first line but extending in a second direction; (c) selecting the second direction to be opposite to the first direction and to cause the first and second NMR images to each comprise a first image component produced by the first nuclei and a second image component produced by the second nuclei and with the second image component offset from the first image component by the chemical shift between the first and second nuclei; (d) mirroring the second NMR image about a second line orthogonal to the first line; (e) registering the first image components of the first and mirrored second NMR images; (f) combining the first and mirrored second registered NMR images so as to eliminate the first image components and to produce a composite image containing second image components; and (g) processing the composite image to produce a resolved image containing substantially only the second image component of the first NMR image.