J. Comput. Assist. Tomogr. 4, pp. 361-363 (1980)

On the optimality of the filtered backprojection algorithm

Kenneth M. Hanson
Los Alamos National Laboratory


It is shown that under certain conditions the filtered backprojection algorithm produces a computed tomographic reconstruction for which the statistical accuracy attainable in the amplitude estimation of large-area objects meets the general lower bound derived by Tretiak. In this sense, filtered back-projection is an optimum algorithm.

Keywords: Computed tomography, filtered backprojection, Cramer-Rao lower bound, Fisher information, statistical efficiency, signal-to-noise ratio, image reconstruction, image quality

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