Tomographic reconstruction from limited angular data
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Updated: Aug 17, 2026
08:57
High Resolution 3D Imaging of Ex-Vivo Biological Samples by Micro CT
Published on: June 21, 2011
Journal of Computer Assisted Tomography
|December 1, 1979
Abstract:
The nth moment of a projection Mn(phi) = rnp(r, phi) dr must be a trigonometric polynomial of degree less than or equal to n. Measuring Mn(phi i) for n + 1 arbitrary angles phi i allows reconstruction of Mn(phi) for all phi. Thus in principle, the exact knowledge of the shadow function within an arbitrarily narrow sector allows reconstruction of the complete shadow. The algorithm doing this is very simple, but its applicability is severely limited by noise in the data.
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