The reconstruction of a two-dimensional image from one-dimensional projections can be a nondestructive method to achieve a sectional image, e.g. in medical diagnostics, where it is called trans-axial tomography. An analog reconstruction theory based on deconvolution is discussed and illustrated by digital computer simulations. A coherent-optical realisation of the deconvolution is described and experimental results are shown.
"Reconstruction From Projections Via Coherent-Optical Deconvolution", Proc. SPIE 0211, Optics and Photonics Applied to Medicine, (29 May 1980); doi: 10.1117/12.958354; https://doi.org/10.1117/12.958354