Mathematical Model and Simulation for Testing Aspheric Surface Using the Digital Moire Patterns by Sub-region Stitching Method

Sub-region stitching measurement of a sphere by using the combination of digital moire patterns without compensator, auxiliary mirror, hologram and other assistant modules. This paper illustrated the basic theory. And use of digital filtering, phase shifting, the least square method and Zernike polynomial fitting to establish the reasonable mathematical model. Meanwhile the computer simulation experiment was carried on. the PV and RMS of the full aperture phase distribution residual error are 0.072λ and 0.0092λ. After this method processing. The results show that the splicing model and the moire patterns processing algorithm is accurate and feasible, Thus proposed another kind to be able the quota examination aspheric surface method.