Traditional Fourier MR imaging (FT MRI) utilizes the Whittaker-Kotel'nikov-
Shannon (WKS) sampling theorem. This theorem specifies the spatial frequenc
y components which need to be measured to reconstruct an image with a known
field of view (FOV), In this paper, we generalize this result in order to
find the optimal k-space sampling for images that vanish except in multiple
, possibly non-adjacent regions within the FOV, This provides the basis for
"multiple region MRI" (mrMRI), a method of producing such images from a fr
action of the k-space samples required by the WKS theorem. Image reconstruc
tion does not suffer from noise amplification and can be performed rapidly
with fast Fourier transforms, just as in conventional FT MRI, The mrMRI met
hod can also be used to reconstruct images that have low spatial-frequency
components throughout the entire FOV and high spatial frequencies (i.e. edg
es) confined to multiple small regions. The greater efficiency of mrMRI sam
pling can be parlayed into increased temporal or spatial resolution wheneve
r the imaged objects have signal or "edge" intensity confined to multiple s
mall portions of the FOV, Possible areas of application include MR angiogra
phy (MRA), interventional MRI, functional MRI, and spectroscopic MRI, The t
echnique is demonstrated by using it to acquire Gd-enhanced first-pass 3D M
RA images of the carotid arteries without the use of bolus-timing technique
s. (C) 1999 Wiley-Liss, Inc.