An Accelerated Expectation-Maximization Algorithm for Multi-Reference Alignment
نویسندگان
چکیده
The multi-reference alignment (MRA) problem entails estimating an image from multiple noisy and rotated copies of itself. If the noise level is low, one can reconstruct by missing rotations, aligning images, averaging out noise. While accurate rotation estimation impossible if high, rotations still be approximated, thus provide indispensable information. In particular, learning approximation error harnessed for efficient estimation. this paper, we propose a new computational framework, called Synch-EM, that consists angular synchronization followed expectation-maximization (EM). step results in concentrated distribution rotations; learned then incorporated into EM as Bayesian prior. also dramatically reduces search space, load iterations. We show extensive numerical experiments proposed framework significantly accelerate MRA high levels, occasionally few orders magnitude, without degrading reconstruction quality.
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2022
ISSN: ['1053-587X', '1941-0476']
DOI: https://doi.org/10.1109/tsp.2022.3183344