Final steps of the MLOCI algorithm (see Sect. 2). Steps 6 and 7, top row: instead of the usual difference image combination in ADI, all science with fakes and counterpart PSF images are combined to recover injected sources in the reference sector. Prior to the linear combination using coefficients from LOCI, we replace the science images with fakes with the original science images, so that the fake sources do not appear in the individual reductions. The fakes are, however, drawn in the figure above to show their changing locations. Steps 8, 9, and 10, bottom row: several such reductions, created through step 8, are combined to create the final reduction. The final reduction preserves point source signal, generally.
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