Abstract
We address the problem of parallel beam tomographic reconstruction when the angles at which the projections are taken are unknown. The problem arises in medical imaging owing to patient motion, and in imaging of viruses from a single projection of many identical units at random orientations. We determine conditions for unique identifiability of the angles from the projection data alone, and derive bounds on the variance of estimators of those angles in the presence of noise. Finally, we present a maximum likelihood estimator, along with a heuristic initialization procedure. Numerical simulations on a test phantom show excellent agreement with the bounds, and nearly perfect reconstructions at moderate noise levels.
Original language | English (US) |
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Pages (from-to) | 2845-2848 |
Number of pages | 4 |
Journal | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |
Volume | 4 |
State | Published - 1997 |
Event | Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP. Part 1 (of 5) - Munich, Ger Duration: Apr 21 1997 → Apr 24 1997 |
ASJC Scopus subject areas
- Software
- Signal Processing
- Electrical and Electronic Engineering