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 line extending in a first direction; (b) forming a second NMR image of the selected region from projections along a second line extending in a second direction; (c) selecting the second direction to be different from 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) registering the first image components of the first and second NMR images; (e) combining the first and second registered NMR images by subtracting the registered first image components of the first and second NMR images to substantially eliminate the first image components and to produce a composite image comprised substantially only of second image components; and (f) processing the composite image by adding the value of a first portion of the composite image, which first portion does not have any part thereof representative of the second image component of the second NMR image, to the value of another portion of the composite image, adjacent to the first portion, that does have a part thereof representative of the second image component of the first NMR image, to produce a resolved image containing substantially only the second image component of the first NMR image.