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Optical interferometry, especially the lateral Shearing interferometer, has long played a role in wavefront sensing. Phase-Shifting Interferometry and also Self-Referencing Interferometry have significant advantages over the Shack-Hartmann wavefront sensor. Phase difference between two interfering beams is determined by measuring the intensity while the phase difference between the two interfering beams is changed in a known manner three times. The phase difference can then be determined in the presence of aberration. Adaptive wavelets will be applied to Phase-Shifting Interferometry in order to address both noise and coherence and increase the depth of fringes. Phase is determined by means of wavelet ridge extraction which will increase the depth of interference fringes and improve resolution. kjj ones