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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Research Article| June 09 2004
Representation of a Function by Its Line Integrals, with Some Radiological Applications
A. M. Cormack; Representation of a Function by Its Line Integrals, with Some Radiological Applications. J. Appl. Phys. 1 September 1963; 34 (9): 2722–2727. https://doi.org/10.1063/1.1729798
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