Left column: Reconstructions from noisy projections at known directions for different levels of noise. Middle column: Reconstructions from noisy projections at unknown directions using the proposed algorithm for different levels of noise. Right column: Estimated beaming directions (y-axis) against their correct ordering (x-axis). The number of principal components used by the Wiener filter is 95, 21, 15, and 13 for the noise level 30dB, 10dB, 5dB, and 4dB.