Convolution Algorithms for Arbitrary Projection Angles

The point response function ¿ of a convolution algorithm for reconstructing a function from a finite set of its projections is the sum of the back-projections of the filters used. An effective method is given for choosing the filters so that ¿ is as close as possible to a specified point response ¿. The weighted mean square error in approximating ¿ by ¿ goes to 0 as the number of projection angles goes to infinity, independent of their placement. Compensation for additive noise in the projections is discussed and numerical results are presented.