Title :
Convolution Algorithms for Arbitrary Projection Angles
Author :
Davison, Mark E. ; Grunbaum, F.Alberto
Author_Institution :
Department of Mathematics University of California Berkeley, California 94720
fDate :
4/1/1979 12:00:00 AM
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.
Keywords :
Additive noise; Approximation algorithms; Bismuth; Convolution; Filters; H infinity control; Mathematics; Mean square error methods; Power engineering and energy; Sampling methods;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.1979.4330508