The topology and geometry of solid is represented by trimmed curve surface and half-edge data structure.
雕塑实体模型通过裁剪曲面片和半边数据结构来表达几何和拓扑信息。
The technology of the magnetic abrasive finishing(MAF)was discussed to finish the curve surface of the large mould.
针对大型模具曲面精整加工的问题，探讨采用磁力研磨加工模具曲面的工艺。
In addition, it is because collimated laser beam is free of focusing problem that output image can be projected to curve surface.
另外由于准直的激光束不存在聚焦问题，输出的图像能够准确投影到曲面上。
This paper investigates several equiyalent propositions of minimal curve surface by means of the euler equation of calculus of variations .
本文通过变分法欧拉方程推导出极小曲面的几个等价命题。
Some curve surface fitting methods used in the reverse engineering are analyzed, and a new free curve surface fitting method based on ANN is presented.
分析了应用于反求工程的几种曲面拟合方法，提出一种基于神经网络技术的自由曲面拟合新方法。
The assembly type formed milling cutter is widely applied in manufacturing complicated curve surface because of its advantages of adjustability and changeability.
装配式成形铣刀由于其可调性和可换性等优点，在加工复杂曲面中得到广泛应用。
Algorithm of geometry simulation in machining complex curve surface depending on engagement theory is the new exploration for geometry simulation, it has better practical meaning.
根据啮合基本定理提出的复杂曲面加工表面几何仿真算法是对几何仿真新的探索，具有较强的实际意义。
The continuum functional relationships among system efficiency, blade Angle, static head and flow rate of pumps are established based on the performance curve surface fitting method.
本文基于曲面拟合构造了装置效率、叶片角度与装置扬程和流量的连续函数关系，可以迅速准确地确定某一装置扬程和流量所对应的装置效率等参数。
Light Sectioning Method(LSM) is a new kind of the 3 D surface electric lighted nontouching measurement. There are two main steps:obtaining information of the curve surface of object by CCD;
光切法是一种新型的三维表面轮廓的光电非接触测量方法，它主要有两个步骤：用CCD获取物体表面的轮廓信息；
And when I am on the curve I am on the boundary of the surface, so there is a direction along the surface that is the curve and the other one is pointing into the surface.
当我在曲线上时，我是在曲面的边上的，所以一个是沿着曲面的边指，那个就是曲线的定向，另外一个就要指向曲面里面的那个方向。
So if you had a closed surface you wouldn't know where to put your curve.
因此如果你有一个封闭的曲面，你就不知道怎么把曲线放进去了。
Well, I claim this curve actually bounds another surface that is orientable.
我断言这条曲线，界定了另一个可定向的曲面。
Both of these formulas basically relate work on a curve with what happens to the curl on the surface that is enclosed by this curve, that is bounded by this curve.
基本上，这两个公式把沿曲线的功，和被曲线包围的曲面上的旋度，联系起来了，曲面是以该曲线为边界的。
See, I want a surface that stops on this curve, and doesn't go beyond it.
我想要一个落在这条曲线上的曲面，但是不超过这条曲线。
Here, you integrate only over a two-dimensional surface, and here, only a one-dimensional curve.
在这儿，只是在一个二维曲面上做积分，这里是一维曲线。
The space filling Z-order curve might not be the best choice for geodetic data, given the closed nature of the earth's surface.
对于大地数据，由于地区表面具有封闭的特性，因此空间填充z顺序曲线可能不是最好的选择。
So, I will have some parametric curve that lives on this surface so, the question is, what's going to happen at any given time?
也就是我在此平面上有一个参数曲线，所以问题就是，在任意给定时刻会发生什么呢？
Let's say that I gave you this curve bounding this surface.
给你这个曲面和这个曲线作为它的边。
What it says on each small flat piece — it says that the line integral along say, for example, this curve is equal to the flux of a curl through this tiny piece of surface.
它可以对任一个小平面使用-，比如说对于这条曲线的线积分，等于通过这个曲面的旋度通量。
Now, if we are in space then you take flux for a surface, not for a curve.
如果是在空间中，考虑的就是曲面，而非曲线。
Now, if a problem gives you neither the orientation of a curve nor that of the surface then it's up to you to make them up.
现在有一个问题，就是既没有给曲线也没有给平面定向，那要有你们自己去决定。
It might be that you will be left to choose the simplest possible surface you can think of that is somehow having this curve as its boundary.
也可以是，自己去选择，有可能的、最简单的，以该曲线为边界的曲面。
OK, so one way to find a surface that's bounded by this curve is to take what's called the Mobius strip.
这条曲线界定的曲面叫,叫做Mobius带。
PRK removes the thin surface layer of your cornea (epithelium). Your eye surgeon then USES a laser to flatten your cornea or make its curve steeper.
PRK是移除角膜薄的表层(上皮细胞)，然后眼科医生用激光使角膜平坦或弯曲。
B-spline is the most popular method to present free-form curve and surface, and DP algorithm is the effective approach for solving discrete optimization problems.
样条方法是当前自由曲线曲面造型最为常用的方法，动态规划为解决离散最优化问题的有效手段。
Space Deformations controlled by parametric curve or surface are important methods for geometric shape edit and flexible object animation.
基于参数曲线和曲面控制的空间变形是重要的几何外形编辑和柔性物体动画实现手段。
Rebuild the curve with at least 6 control points. This is necessary to achieve the desired continuity when using surface from curve network or sweep 2 rails.
重建曲线至少有6个控制点。这是必要的，以实现理想的连续性当使用曲线表面从网络或扫描第2轨。
Well, in fact, I could use any curve drawn on the level of w equals c So, I could move, really,any way I wanted on that surface.
事实上，可以使用等值面W=c上的任何曲线,可以以任何方式在等值面上移动。
Vector graph mesh model is a basic representation type of a body, particularly it is the most effective presentation method to representation complex body with curve and surface .
矢量图形网格模型是实体的一种基本表示形式，特别对于描述具有复杂曲线曲面的实体可以说是一种最有效的表达方法。
Vector graph mesh model is a basic representation type of a body, particularly it is the most effective presentation method to representation complex body with curve and surface .
矢量图形网格模型是实体的一种基本表示形式，特别对于描述具有复杂曲线曲面的实体可以说是一种最有效的表达方法。
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