An n-dimensional (n-D) filtered backprojection image reconstruction algorithm has been developed and used in the reconstruction of 4-D spectral-spatial magnetic resonance imaging (MRI) data. The algorithm uses n-1 successive stages of 2-D filtered backprojection to reconstruct an n-D image. This approach results in a reduction in computational time on the order of N/sup n-2/ relative to the single-stage technique, where N/sup n/ is the number of elements in an n-D image. The authors describe implementation of the algorithm, including digital filtering and sampling requirements. Images obtained from simulated data are presented to illustrate the accuracy and potential utility of the technique. >
['William B. Hyslop', 'Ronald K. Woods', 'Paul C. Lauterbur']
Four-dimensional spectral-spatial imaging using projection reconstruction