Aspects Of The Convolution Method For Image Reconstruction From Projections

The convolution/back-projection algorithm has certain characteristics which enable it to reconstruct useful images when the projection data or data-processing operations are incomplete or when they are approximated rather crudely. In this paper we show how the shape of the convolution kernel can be exploited for reconstruction from truncated projections and for ultra-fast approximate projection filtering. The results of simulations indicate that these techniques would be of value in practical computed tomography.