The reconstruction of cross-sectional images from projections involves
the solution of a large system of simultaneous equations in which the
unknowns are attentuation coefficients associated with the cells cons
tituting the image. As an alternative to iterative methods such as the
algebraic reconstruction technique (ART), a modified linear form of t
he Hopfield neural network with a summation layer to significantly dec
rease the number of interconnections is proposed. Higher speed and imp
roved SNR, compared to ART, have been obtained on the Shepp and Logan
'head phantom' divided into 100 X 100 cells.