No Access Submitted: 28 January 1963 Published Online: 09 June 2004
Journal of Applied Physics 34, 2722 (1963);
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  • Physics Department, Tufts University, Medford, Massachusetts
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  • A. M. Cormack
A method is given of finding a real function in a finite region of a plane given its line integrals along all straight lines intersecting the region. The solution found is applicable to three problems of interest for precise radiology and radiotherapy: (1) the determination of a variable x‐ray absorption coefficient in two dimensions; (2) the determination of the distribution of positron annihilations when there is an inhomogeneous distribution of the positron emitter in matter; and (3) the determination of a variable density of matter with constant chemical composition, using the energy loss of charged particles in the matter.
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  1. © 1963 The American Institute of Physics.