中文摘要：

在子孔径拼接和定位算法的基础上研究了环形子孔径迭代拼接算法。该算法可通过精确找出重叠点对和寻找最优位形两个步骤来简化。研究了该算法在环形子孔径拼接测量中出现的如何确定重叠点的问题，并详细介绍了该算法的步骤。最后对160mm口径的抛物面进行了拼接测量实验，拼接结果的PV值为0．186X，RMS值为0．019k，与自准直全口径测量结果基本一致。结果表明，环形子孔径的迭代拼接算法能够满足非球面镜的高精度测量。

英文摘要：

In order to satisfy high precision and fast optical surface measuring, an iterative algorithm for annular subaperture stitching is discussed based on the Subaperture Stitching and Localization （SASL） algorithm. The basic theory of annular subaperture stitching is introduced, which can he divided into two parts, one is how to determine the overlapping points precisely and the other is how to find optimal configuration. Then, how to determine the overlapping points in annular subaperture stitching is studied and the detailed procedure of the iterative stitching algorithm is presented. Finally, a paraboloid of 160 mm aperture is tested with Annular Subaperture Test（AST）, tested results in PV value of 0. 186λ and RMS value of 0. 019λ are consistent with the auto-collimated full aperture testing. All these discussions clearly prove that the iterative annular subaperture stitching algorithm can meet the requirement for high precision testing of aspherical surfaces.