Compton scattering can be used to determine the electron densities of tissues for medical applications and those of materials for industrial applications. Much work has been devoted in solving the reconstruction problem. Norton proposed an analytic transform method for the reconstruction of Compton scattering tomography [J. Appl. Phys. 76, 2007 (1994)]. However, it is difficult to relate the response function presented by Norton to the measurement quantity. The aim of this article is to present an improved form of the detector response function which corresponds to the actual measurement and to verify the validation of the transform method for this problem.

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