球面

Keywords: Active stressed lap; Computer controled polishing machine; Fast asphericity polishing; Thin mirror polishing; Close loop active correction

中文关键词：主动压力抛光盘；计算机控制磨镜机；大非球面磨制；超薄镜面磨制；闭环主动校正

To compensate for any astigmatic effect , a spherical equivalent prescription may be calculated.

4为了补偿散光的影响，可以计算等效球面的处方。

We say that a caustic is formed on the surface of the sphere at this distance.

我们说，在这一距离的球面上形成了焦散。

In order to reduce the effect of imaging recognition error, the recognition location of projection is extended and refined, and the projection edge of sphere centre is implanted. So a pyramid is formed by radial line between the camera optical centre and the implanted point. A curved face is formed by the two pyramids and barbette sphere. To calculate the shape centre of the common section of the curved face, the shape centre is the coordinate of sphere centre.

为了降低图像识别误差的影响，对投影的识别位置进行拓展和细化，并对球心投影边界进行插值，摄像机光心与插值点连线射线形成了一个锥体，两摄像机的锥体分别与炮台球面相交形成曲面，计算两曲面公共部分的形心，即为球心位置。

The multistage construction analysis method has been successfully used to simulate the whole erection process of a 102m-span barrel vault grid structure and a 118m-span double-layer spherical reticulated shell.

并运用多阶段施工全过程跟踪数值理论进行了两算例分析：某102m跨度大型柱面网壳结构的累积滑移施工与支架滑移施工的理论模拟，某118m跨度双层球面网壳结构悬臂施工的全过程理论分析。

Firstly, a spherical mesh with regular subdivision connectivity is constructed to partition the spherical domain into some small regions. Then the region, which contains the query point p, is found according to the position of p and selected as the search area for locating p. During the point location, the barycentric coordinates are used to extract local heuristic information about the location of p so as to find the shortest path from the start triangle to the target one containing p.

通过构造规则子分网格将原始球面网格区域划分成若干具有子分层次关系的查询小块；在进行查询前，根据查询点p的位置找到它所在的小块作为搜索区域，从而极大地缩小了查询范围；在查询过程中，根据重心坐标所包含的启发信息，选择一条从初始搜索三角形到目标三角形的最短查询路径。

The accuracy of the algorithm is constantly the iso-distance, 1/2, which is not as bood as that of the best approximation methods.

本文最后研究了该方法在栅格圆环、圆盘及球面、球等生成及Euclid距离变换中的应用。

In this paper, a "two-molecule" model of ellipsoidal drop was established.And then the ellipsoid situation was transformed into sphere situation by coordinate transformation.By utilizing bipolar coordinates and Maxwell stress tensor, the expression of electrostatic radial and tangential forces between two drops was deduced.

通过建立水滴的"二分子"椭球模型，利用坐标变换把椭球问题转换成圆球问题，并运用双球面坐标和Maxwell应力张量理论，推导出两椭球水滴间的径向和切向电场力的表达式。

Bottom with a spherical surface, paved the center of granite, Kecheng outline of the hemisphere to four centimeters in diameter brass center-embedding, and along the east-west direction of the blister copper inlay to the Tropic of Cancer that this point respectively to the Earth's East and West to Extension.

塔底呈球面状，正中铺花岗石，刻成半球轮廓，以直径4厘米黄铜柱嵌入中心点，并沿东西方向镶嵌粗铜条，以表示北回归线由此点分别向地球的东、西方向延伸。

Prove that if this quantity is bounded above by that value of the Veronese surface then x is either a totally umbilical sphere or a conformal Veronese surface.

最后我们模仿3维的情况，引进一个保角不变量，并证明此保角不变量的上界若为Veronese曲面之值，则x不是全脐球面就是Veronese曲面的保角类。

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。