Abstract
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.
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