New Representations For Reconstruction Techniques From Projection Data.

S. Leeman; M. A. Fiddy

doi:10.1117/12.935831

22 September 1983 New Representations For Reconstruction Techniques From Projection Data.

S. Leeman, M. A. Fiddy

Proceedings Volume 0413, Inverse Optics I; (1983) https://doi.org/10.1117/12.935831
Event: 1983 Technical Symposium East, 1983, Arlington, United States

Abstract

The three basic methods for the reconstruction of an object from its measured projections , namely the central slice theorem, filtered back projection and the Radon transform, are shown to follow independently and directly from very simple requirements on the object density. It is suggested how the approach developed here may lead to new imaging procedures. A consideration of the backprojected image, which is relatively easily obtained to high quality by analogue methods, reveals a novel interpretation which suggests a new approximate algorithm for object reconstruction. A similar approach is suggested to unify inverse scatter methods, in the weak scattering approximation.

Citation Download Citation

S. Leeman and M. A. Fiddy "New Representations For Reconstruction Techniques From Projection Data.", Proc. SPIE 0413, Inverse Optics I, (22 September 1983); https://doi.org/10.1117/12.935831

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