Consecutive projections onto convex sets.

In this note we describe and evaluate the performance of a novel approach to information recovery that involves consecutive projection onto convex sets (POCS). The method is applied to a time series of medical image data and the results are compared to images reconstructed using the standard POCS reconstruction method. The consecutive POCS method converges in a desired step-wise manner producing reconstructed images of superior quality compared to the standard scheme and can speed up the reconstruction process. The proposed method is of value for many finite sampling imaging problems including, in particular, fast-scan magnetic resonance imaging applications.