为了更好地利用区域结构函数评价大口径反射镜表面面形，引入了Randon变换作为区域结构函数坍陷的工具。对于使用Randon变换进行区域结构函数坍陷的具体实现方法进行了讨论；之后考虑到 Zernike多项式可以很好地模拟系统的低阶波像差，故利用此方法对于Zernike多项式的区域结构函数进行坍陷；然后将此方法应用于米级口径的反射镜表面面形检测数据以及30 m望远镜(TMT)三镜面形仿真数据，验证了理论的正确性与方法的可行性。对于大口径反射系统的设计、检测与加工都有较好的指导意义，同时为30 m望远镜三镜项目的最终完成提供助力。

In order to evaluate surface of large aperture reflecting mirror, the Randon transformation is used to represent the area structural function collapse. The evaluation ways of algorithm for collapse are studied, and the specific step is expressed. Then this method is applied to the Zernike polynomial which can simulate the wave front perfectly. The algorithm is applied to the meter rank reflecting mirror and tertiary mirror of 30 m telescope (TMT) simulating data, the correctness and feasibility of the algorithm are certified. This research will supply good instructions at the design, measurement and manufacture of large mirrors, and will do good to the complement of tertiary mirror of 30 m telescope.