The locus shaping technique of machining the optical parts has broken away form the restriction of traditional technique of machining the optical parts and it explored out a new machining method to the spherical parts , especially , to the asperical parts 光学零件的轨迹成形法加工摆脱了传统光学零件加工方法的约束，为球面，尤其是为非球面的加工探索出一条全新的道路。
We propose a new method in this papef , which uses the cofltours of two sphere images to realize the orientation . the method overcomes the defect of classical algorithins , which can not realize the orientation if there are no clear textures on the surface of a sphere 我们给出了一种利用球面的两幅图像的轮廓线来实现球体定位的新方法，该方法克服了传统算法中没有明显的纹理就不能实现定位的缺点。
Taking the 90d double asphere opthalmocopy lens testing for example , double asphere lens testing was studied and discussed . we put forward the contradiction in testing and making order of double asphere lens . the testing method of saving manufacture period was analyzed 以90d双面非球面眼底镜为例，对两面都是非球面的透镜检验方法做了探讨，提出检验设计与加工的矛盾，分析出了节省加工工时的检验方法。
By the study of this method , we can not only solve the surface testing of big - scale high - precision aspheric surface , and advance the application of asphere , but also we can improve the integration of digital image processing , application of ccd and optical testing 该方法的研究与开发，不仅可解决大型高精度非球面的面形检测问题，促进非球面的应用，而且在计算机数字图像处理技术、 ccd应用技术与光学检测技术相结合方面迈出了可喜的一步。
By way of study and empolder of this method , we can not only solve the surface testing of big - scale high - precision aspheric surface , and advance the application of asphere . but also we car , improve the integration of digital image processing , application of ccd and optical testing 该方法的研究与开发，不仅可解决大型高精度非球面的面形检测问题，促进非球面的应用，而且在计算机图像处理技术、 ccd应用技术与光学检测技术相结合方面迈出了可喜的一步。
This dissertation presents improved methods for both testing results analysis and aspheric mirrors fabrication concerning computer controlled optical surfacing ( ccos ) technology to improve its efficiency and accuracy . a new ccos model based on " relative tool path " is proposed , and a method is developed to solve and evaluate fabricating parameters 目前ccos ( computercontrolledopticalsurfacing )技术被广泛用于离轴非球面反射镜的制造，本文针对该技术中涉及到的一些问题开展较为深入的研究，以进一步提高离轴非球面的加工效率和精度。
In this paper , we brought forward an innovative idea : according to the characteristics of easy deformation of ultra - thin mirror , we employ a sphere mirror , which is easier to fabricate and test , to replace the aspherical mirror , then the sphere mirror is deformed into an aspherical one by active optics technology . on this purpose , we need to study the mechanism and method of shaping a spherical mirror into an aspherical one 由于非球面镜的加工和检测都比较困难,因此本文提出了一个大胆的设想:利用超薄镜易于变形的特点,以加工和检测难度远低于非球面的球面来代替非球面,运用镜面的主动控制技术将球面反射镜变形成所需精度的非球面反射镜。
Second , we introduce some new concepts such as j - viscosity solutions etc and provide some relative properties in order to study the existence and limiting behavior of the solution of the multidimensional landau - lifshitz equations . by virtue of these results we prove that there exists a smooth solution of the multidimensional landau - lifshitz equation with values in unit sphere . we show also that there are two disjoint open subsets such that the solution tends to ( 0 , 1 , 0 ) and ( 0 , - 1 . 0 ) on their arbitrary inner compact sets respectively , and to ( 0 , 0 , 1 ) somewhere in the interface which separates the two open subsets 作为应用，我们利用这些性质证明取值于三维单位球面的n维landau - lifshitz方程存在光滑解，我们还证明存在两个不相交的开子集使得这个光滑解在这两个集合之一内任一紧子集上趋于( 0 . 1 , 0 ) 、在另一集合之内任一紧子集上趋于( 0 , - 1 , 0 ) ，这个光滑解在这两个集合的界面的一些点趋于( 0 , 0 , 1 ) 。
This research is aim at putting forwarding laser wavelength scanning interference testing method . processing and analyzing instantly - read interference pattern corresponding with continuous varying wavelength , the method overcomes the following disadvantage . for example , the longer referenced and measuring optical circuit in big - scale high - accuracy asphere testing , and the sensitive interferential system to the disturb , such as the oscillation of worklable , dithering of air , and so on 研究的目的主要是针对大型高精度非球面面形检测中干涉仪的参考光路和测量光路较长，干涉系统对工作台振动和空气抖动等外界干扰因素的影响敏感，干涉图不稳定等问题，提出了激光波长扫描干涉测试方法，该方法通过对瞬间读取的、与连续变化波长对应的干涉图的处理和分析，克服了上述缺点，为大型高精度非球面的检测提供了一种适用的方法。
In this paper , we summarize the present testing level of optical aspheric surface , expound the principle of laser wavelength scanning interference testing method , and analyze the laser that can be tuned , and we also study the change of wavelength . further more , we achieve the elementary design of experiment device , curtly introduce the method for interference fringe processing and image processing by matlab 本文对目前国内外的光学非球面的测量现状作了概略的叙述，给出了激光波长扫描干涉测试方法的原理，对波长可调谐的激光光源进行了分析，对激光器波长的变化进行了研究，对实验装置进行了初步的设计，对干涉条纹图处理方法进行了研究，并通过编写matlab软件语言对干涉图进行了数字化处理。
