Abstract
An algorithm is presented for reordering and interpolating a set of fan beam projections into an equivalent set of equispaced parallel ray projections, which may then be reconstructed by the convolution method of Bracewell and Riddle as implemented by Ramachandran and Lakshminarayanan. This algorithm, is of interest because it opens the possibility of combining high speed parallel data collection with a computationally inexpensive reconstruction algorithm. The required sets of parallel rays are obtained by appropriately selecting single rays from each of several fan beams. A satisfactory balance between the number of rays per parallel ray projection and the number of projections is obtained by the introduction of a “slant” approximation. The restriction of the convolution method to equally spaced rays is then satisfied by a rebinning of the reordered data. Experimental reconstructions of a head projection and simulated data are presented.
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