与一个旋转曲面是等距对应的；
该透镜由任意旋转曲面形阵列或介质材料构成。
The lens consists of an array with any curved surface of revolution, or of dielectric material.
在立体造型系统中，旋转曲面是最常用的曲面。
Revolution surface is most often used in solid modeling system.
用分析的方法导出了极小旋转曲面的生成曲线的方程。
The paper has calculated equation of the generating curve of minimal surface of revolution by the approach of analysing.
利用坐标平移、旋转变换，导出旋转曲面面积求法的一般公式。
By making use of transformation of coordinate translation, coordinate rotation, we deduced general formula about area of rotational surface.
在工业领域中，不少产品的零件结构采用法向等厚旋转曲面体。
In the industrial field, a number of product parts structure had used normal uniform thickness revolving curved surface body.
该定理找到了我们所考虑的此类W-极小的旋转曲面的几个例子。
The theorem shows some examples of this kind of W-minimal rotation surface we mentioned above.
针对旋转曲面场景提出一种基于综合包围盒技术快速光线跟踪算法。
We propose a collision detection algorithm based on combination of Sphere and OBB: S-OBB.
作为应用我们找到了一类W -极小的旋转曲面，得到了本文的一个重要定理。
As an application, we find one kind of W-minimal rotation surface, and get one of the important theorem in this paper.
同时它还能精确表示圆弧、椭圆弧等二次曲线，推广到空间即可以表示旋转曲面。
Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces.
为使测量机完成空间旋转曲面及3D轮廓面的测量，提出等分度测量法及等距测量法。
To complete the surface tests of 3D profile with CMM, based on tip compensation, the equiangular graduated measurement and equidistance graduated measurement are suggested.
用梭形旋转曲面包围三维有界场源，将位场的地表观测值延拓到场源之外的空间区域。
The earths surface observation is extended to the region beyond the source with a methodof sphere surrounding three-dimensional finite source.
由于给定主曲率函数的嵌入旋转曲面存在性已得到较好证明，故使得曲面的设计成为可能。
Since the existence of embedded rotation surface with given principal curvature function is well proofed, the design and modeling of the surface becomes possible.
给出旋转曲面生成过程的动画程序，并导出了任一曲线绕任意轴旋转的坐标间几何变换公式。
The animation programs of the making revolution surface is compiled, and a general coordinate formula of geometric transformation is deduced about an arbitrary revolution curve around a rotation axis.
针对粒子群优化算法(PSO)应用于多极值点函数易陷入局部极小值，提出旋转曲面变换(RST)方法。
Aimed at particle swarm optimization (PSO) algorithm being easily trapped into local minima value in multimodal function, a rotating surface transformation (RST) method was proposed.
本文就此进行了讨论，对有弧长约束的空间曲线及有面积约束的旋转曲面问题，分别给出了相应的算法及误差估计。
In this paper, this constraint is discussed. For the space curve with length constraint and the surface of revolution area constraint, algorithms and estimation of the error are given.
其细分规则基于张量积曲面细分模式的几何意义，不仅可以生成旋转曲面等特殊曲面，而且可以根据参数来控制细分曲面的形状。
The subdivision rules based on the geometric interpretation of the tensor product scheme, and it can reproduce the surfaces of revolution.
因此，首先它是一些同心圆，这告诉我们,这个图形是一个旋转得到的曲面,当旋转它的时候并没有发生变化。
So, first it's concentric circles that tells us that we have a shape that's a solid of the graph is going to be a surface of revolution. Things don't change if I rotate.
景区大门的设计来自于几条相互平行的线条，在进行扭曲旋转后形成的张力曲面。
Door design from several parallel lines, in the distorted rotation after the formation of the surface tension.
本文提出一种全新的，可推广至一般二次曲面的旋转抛物面实时成象的等灰曲度线算法。
This paper presents a new algorithm for realtime generation of rotating paraboloid images, which can be extended into quadric surfaces.
文中通过方程序的推导，论证了上述观点，并以此为基础，进一步论述了各种特殊位置直线的子午投影的方程序，以及这些子午投影旋转后所形成的曲面。
With this view point, all other meridian projection equations of lines in special positions, and the curved surface formed by the meridian projection after being rotated are presented.
为了用较少的参数反映人肢体皮肤的变形，该文提出以旋转圆锥曲面进行弹性连接体（人体）三维建模。
This paper presents a new method of elastic articulated objects(human bodies) modeling based on a new revolving conic surface.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
非球面透镜能够克服球面透镜的缺点，具有很高的实用价值，故对旋转二次曲面及其透镜成像质量的研究将有重要意义。
Non spherical surface lens can get rid of the spherical surface lens' shortcoming and will be highly valuable, so the study of image quality of rotational conicoid and its lens is meaningful.
非球面透镜能够克服球面透镜的缺点，具有很高的实用价值，故对旋转二次曲面及其透镜成像质量的研究将有重要意义。
Non spherical surface lens can get rid of the spherical surface lens' shortcoming and will be highly valuable, so the study of image quality of rotational conicoid and its lens is meaningful.
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