球面

This paper reported a new method using tangential curvature to establish a mathematical model of the anterior cornea and an analysis of the regularity of the distribution of the asphericity Q. The curvature in the horizontal meridians is a prolate ellipse. The curvature in the vertical meridians is an oblate ellipse. The curvature of the horizontal meridians is important for anterior corneal asphericity.

本研究分析了运用正切曲率半径值建立人眼前表面角膜数学模型的科学性，显示角膜前表面水平子午线方向非球面性趋向于长椭圆，垂直子午线方向非球面性趋向于扁椭圆，说明人眼角膜的非球面性特性主要由水平子午线实现。

Cosine law of spherical triangles : in the spherical triangle , either side of the hot core corresponding to the cosine of angle equal to each other on both sides of the corresponding hot core product with the cosine angle on both sides of each angle of the sine and the corresponding spherical center piece of any side in the spherical triangle in ...

球面三角形余弦定律：在球面三角形中，任意一边所对应球心角的余弦等于其他两边各自对应球心角的余弦乘积加上这两边各自对应球心角的正弦及任意的那条边在球面三角形中。。。

This thesis contributes to geometry compression in the following aspects: Proposes a method of progressive spherical mesh parameterization based on local parameterization by directly projecting the deleted vertices to its neighborhood. Based on spherical mesh paramterization, an adaptive subdivision remeshing method by progressivly redistributing of sampling points is proposed, by this means, the main geometry information of the original mesh can be captured with only a small amount of samples, it can also be used in mesh simplification. By regarding attributes binded on mesh vertices as geometry signals and transferring them onto a uint sphere by means of spherical mesh parameterization, meshes with different attributes are compressed with spherical wavelet successfully with high compression rate. As a kind of lossy geometry compression technique, two mesh simplification algorthimes are also presented in this thesis.

归纳起来，本文的主要贡献有：提出了以直接投影局部参数化方法为基础的网格累进球面参数化方法；在网格球面参数化方法的基础之上，提出了一种基于累进优化布点方案的网格细分采样方法，该方法可以用很少的采样点就可以捕获到网格的主要特征，因此我们也将其用于后面的网格简化工作当中；通过将网格顶点上定义的各种属性看成几何信号，并以网格球面参数化为手段将几何信号迁移到单位球面上，从而成功地实现了用球面小波对各种几何信号的压缩；作为一种有损压缩方法，本文还提出了基于统一距离的网格简化算法和基于重采样的网格简化算法。

In inertia system K,geometric sphere is changed to elliptic sphere in K system by Lorentz transformation ,and the pre-sphere of optical wave in K system is changed to sphere in K system.

对惯性系K中的几何球面施以洛仑兹变换，在K′系得到扁椭球面；对K中的光波前球面，在K′系则得到球面；两者皆源于时空的基本属性，但前者是由于物体长度的相对性，后者则是由于光速的不变。

Ah specifically, the angle of the sphere and the relationship side of spherical geometry, spherical trigonometry is a part, mainly in the processing, discovery and interpretation of polygons on the spherical surface contact angle and the edge and relevance.

具体一点啊研究球面上的角与边的关系球面三角学是球面几何学的一部分，主要在处理、发现和解释多边形在球面上的角与边的联系和关联。

High-precision spherical components have been widely used in precision machinery and aerospace industry, and spherical curvature is one of determinant to the capability of optical components, and the measure of it is an important matter in the optical component manufacture. So the research of the high precision measurement of spherical curvature has important significance.

中文摘要高精度球面元件在精密机械和航天工业中的应用越来越广泛，在光学生产的加工制造过程中也大量需要对具有球面形状的透镜的曲率半径进行高精密测量的情况，因此，球面元件曲率半径的精密测量对高质量球面样板，光学系统的质量控制等方面具有重要的意义。

Therefore in the teaching students should be made to actuallyfeel that spherical geometry knowledge can be used to solve or explainsome real problems in both life and production, to reach the relatedconclusions about spherical geometry by comparing it with Euclideangeometry, and to have anidea of some non-Euclidean geometry models aswell as differences between flat geomtry models and spherical geometry ones.

是为对数学有兴趣和希望进一步提高数学素养的学生而设置，重点是培养学生空间想像和几何直观能力，教学中应使学生切实地感受到利用球面上的几何知识可以解决生活或生产中的一些实际问题；让学生通过欧氏几何和球面几何的类比，得到球面上的几何的相关结论；使学生了解一些非欧几何模型，从而思考平面几何模型与球面上的几何等非欧几何模型的差异。

The feasibility of a spheric polishing by FRP-1 flexible polishing machine is proved by experiments.

为了研究FRP-1型非球面柔性抛光机加工非球面零件的可行性，利用FRP-1型非球面柔性抛光机对非球面光学零件进行抛光实验。

There are convex spherical roller bearing ring raceway is spherical-shaped, with concave spherical roller bearing axle ring raceway is spherical-shaped.

有凸球面滚子的轴承座圈的滚道为球面形，有凹球面滚子轴承的轴圈滚道为球面形。

Development of optical manufacturing, especially aspherical manufacturing, boosted the developing of space optics. Aspheric testing for large departures from reference wavefronts becomes the bottleneck of optical manufacturing. Off-axis TMA system presented in space cameras for large field, high resolution, long focal length challenges the manufacturing and testing for aspheric components .

光学制造技术的发展，尤其是非球面加工技术的兴起，促进了空间光学的发展，大视场、高分辨率、长焦距的航天相机离轴三反系统设计的引进对非球面的加工和检测都是很大的挑战，非球面的检测技术越来越成为光学加工的瓶颈，本文从检测角度出发，提出了基于电子虚拟样板的非球面检测技术概念，建立电子虚拟样板的数学模型。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。