In ground based astronomy, the Lucky Imaging (LI) technique consists of selecting the best quality pictures among those that have been taken with a short exposure time to freeze the atmosphere distortions. Although it has different advantages, the peak intensity of a star is always surrounded by speckled light which, once averaged, provides the halo. The halo can make it difficult to detect faint companions immersed in it. In this paper, we take advantage of the speckle statistics to remove the halo and so to make more effective current detection techniques. Theoretical predictions are confirmed using experimental LI data. Finally, a photometry algorithm is also proposed.