Abstract

Geometrical optics is applied in a modeling of the forward-propagation process for transmission tomography with diffracting sources. The forward process is described mathematically as an optical tomography transform of an object function into a set of measured projection data representing line integrals of that parameter function. A recursive scheme is devised for the inverse process of reconstruction of the object parameter function from its forward projections. Ultimately, a new computational scheme is presented for the fast and accurate reconstruction of the object function. Ray-tracing methods lead to a representation of the forward-propagation process as a system of linear equations. Simultaneous algebraic reconstruction methods are applied in the discretized inverse process.

© 1987 Optical Society of America

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