Book reviewLecture Notes in Biomathematics. Questions of uniqueness and resolution in reconstruction from projections. By KatzMyron B., pp. ix + 175, 1978 (Springer-Verlag, Berlin/Heidelberg/New York), DM 21.50, $11.80. ISBN 3–540–09087–8
M. F. Cottrall · British Journal of Radiology · 1981
These notes provide a readable account of a mathematical exploration into the uniqueness of reconstructions obtained from projection data. It is shown how a particular set of projection angles is the least demanding on the resolution of the data, and that providing this set is used the limitation on the resolution of the reconstruction, which is necessitated by the requirement for a unique solution, may be demonstrated. Its is shown how to deal effectively with noisy data and to choose the optimum projection angles under practical working conditions. A chapter on improving the EMI head scanner provides a practical application of the theory.