Fourier-series windowing, a technique used to obtain spatially localiz
ed in vivo NMR spectra, is extended to fields-of-view containing a num
ber of arbitrarily shaped regions of interest. For each volume, k-spac
e weighting functions are derived and then combined to give an overall
k-space sampling pattern - the number of signal acquisitions per phas
e-encoding vector - which can then be used to obtain spatially localiz
ed spectra of optimal sensitivity, consistent with a specified degree
of localization. The technique is compared with the related methods of
chemical-shift imaging and spectral localization by imaging. (C) 1995
Academic Press, Inc.