当我在曲面上移动一点，会发生什么呢？
Let's think a little bit about what happens when I move a little bit on my surface.
总之，就是用几何方法或是在曲面上建立二重积分。
Use geometry or you need to set up for double integral of a surface.
基于这个方法，在曲面上偏置曲线多边形。
Based on this method, curvilinear polygons were offset on the surface.
修正“在曲面上描绘”按钮无法执行指令的错误。
曲面的第三基本形式是球面的第一基本形式在曲面上的表示。
The third fundamental form of a surface is the representation on the surface for the first fundamental form of a sphere.
在联树模型的基础上，把图在曲面上的嵌入用其联树，也即其关联曲面来表示。
On the basis of the joint tree model, an embedding of a graph on a surface can be rep-resented by a joint tree, further by an associated surface of it.
在曲面上做一些网格，你会看到一个网上的每一小块儿，都是小的平行四边形，我们要弄清楚它的面积和法向量是什么。
You will get some sort of mesh grid on your surface and you will look at a little parallelogram that is an elementary piece of that mesh and figure out what is its area and normal vector.
该算法利用短程线的特性，根据曲面的局部特征自适应地调整相邻刀位轨迹线之间的间距，实现了刀位轨迹在曲面上的等距分布。
Based on the characteristic of the geodesic, the distance between the corresponding points in adjacent cutter contact curves can be adjusted adaptively according to the local character of the surface.
在这儿，只是在一个二维曲面上做积分，这里是一维曲线。
Here, you integrate only over a two-dimensional surface, and here, only a one-dimensional curve.
这样的2维宇宙模型就像是球体，不可能出现平行的测地线(测地线是曲面上的直线)——两直线必然在某点相交。
A two-dimensional model of such a universe would look like a sphere. It's impossible to have parallel geodesics (straight lines on a curved surface) — the two lines will cross at some point.
光，在日常生活经验中它是以直线的方式传播的，可是现在可以把它捕获在复杂的曲面上。
Which in everyday experience travels in straight beams, has been trapped on complex curved surfaces.
“悬挂的混凝土板表皮采用曲面的形式，在不同水平面上展开，保护和包裹起建筑的公共空间，”工作室补充说。
"A skin of suspended concrete slats adopts a curved shape which develops on the different levels, protecting and wrapping the open space of the building," added the studio.
在水斗三维贴体坐标系中，还推导了流体粒子在水斗曲面上的运动控制方程。
The governing equation of motion for fluid particles moving on bucket was deduced on BFC at the same time.
利用计算机同步控制液压牵引，滑移轨道搁置在异形曲面的框架柱顶面上。
Sliding track was located at top surface of frame column in abnormity surface by computer synchronization controlled hydraulic traction.
只要已知被加工曲面的参数表达式，就可运用点涉法在该曲面上生成非球面刀的数控加工轨迹。
As soon as the parametric representation of the sculptured surface is known, the NC machining path on it is determined for the nonspherical cutters.
首先，在芯模外侧创建与铺丝路径相对应的特定曲线，然后将曲线按特定方向投影在指定的偏置曲面上，形成初始路径。
First, a specific curve is created around the core module, and then it is projected on to specified surfaces in a particular direction and the projections are taken as initial paths.
本论文主要研究了图的最大亏格的下界问题以及有向图类在可定向曲面上嵌入的亏格分布。
In this paper, the lower bound problems of the maximum genus and the genus distributions of digraphs in orientable surfaces are studied.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
NURBS方法在实际应用中遇到的一个重要问题就是已知曲线曲面上的型值点而求解控制点。
An important problem which is brought about by the method of NURBS in practice is that calculating control points based on the curve or surfaces data points.
使用三轴数控机床和万能分度头等设备，在锥曲面上刻字的数控加工方法，解决了在实际加工中类似零件对多轴数控机床的依赖问题。
In this paper, we introduce a CNC machining technique of lettering on taper-surface throught adopting the three-axis CNC and multiple axis indexing mechanism and so on.
具有公共对称平面的二次曲面的交线在该平面上的投影为二次曲线。
It is known that the projection of the intersection of quadrics with common plane of symmetry on this plane is a curve of second order.
在凹透镜表面上制作出了用于凸非球面检测的曲面全息图。
We fabricated a large computer-generated holography on a concave lens surface to test the convex secondary mirrors surface.
因此，在地球表面上或附近测量距离并不是沿着直线或平面进行，而是在一个曲面上。
Therefore, distances measured on or near the surface of the earth are not along straight lines or planes, but on a curved surface.
当压力、包围角和滚筒半径在某一范围内变化时，以临界曲面的方法寻找曲面上与坐标原点距离最小的点，以此点作为理论上的防滑移设计最优方案。
When these factors vary in some range, the method of the critical curved surface can be used to find the critical point which has the shortest…
在加工具有大型复杂曲面的工件或对这些工件进行加工误差的检测时，都需要对曲面上的点进行测量。
When machining good-side workpiece or measuring its machining error, the points of these workpiece surface must be measured.
在光学软件中对反射器光学系统进行照明模拟，结果说明通过自由曲面反射器作用于LED，可以在目标路面上形成均匀照明的矩形光斑。
The results illustrate that through the role of reflector cup on the LED, we can get a uniform rectangular facula in the target surface.
本文用带消隐线的方法在二维平面上来描绘三维曲面，例如波表面等。
This paper describes 3-D curved surface, such as wave-surface etc, on 2-D plane by using hidden-line method.
刀为具有泵功能的泵刀，设置在波形曲面上方。
The knife is a pump knife with the functions of pump and is arranged above the wave-shaped curved surface.
刀为具有泵功能的泵刀，设置在波形曲面上方。
The knife is a pump knife with the functions of pump and is arranged above the wave-shaped curved surface.
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