曲面

In 1943 - 1945, he worked in the Institute for Advanced Study at Princeton. Having arrived in the United States for two months, he finished his famous paper entitled "A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds", which inspired other differential geometers.

抵美两个月后，即完成其著名的论文──《闭曲面流形高斯--博内公式(Gauss-Bonnet Formula)的一个简单的内蕴证明》，对於后来微分几何的发展和微分几何学者的研究影响深远。

We propose a closed surface parametrization method based on a new theory of curves and surfaces.

曲线曲面是计算机图形学和计算机辅助几何设计中的基本研究对象。

Chapter six and seven focus on the closed surface modeling problem with interpolation of spatial data.

所提供的方法具有局部构造性，能为过渡曲面的生成，修改、调节带来巨大的方便。

Planar discrete clothoid splines and discrete clothoid spline surfaces of Schneider and Kobbelt are just constructed by assuming that the curvature of the curves or surfaces is piecewise linearly distributed.

Schneider和Kobbelt的平面离散布状样条曲线和封闭控制网格上的离散布状样条曲面正是利用曲率逐段或逐片线性分布构造出来的。

Our company is specializing in the transfer of water that is three-dimensional surface coated enterprises.

本公司是专业从事水转印即立体曲面披覆的企业。

Furthermore,we present the method for designing quadratic Bezier developable surface:give four corner points of developable surface and two free designing parameters,the other two control vertexes are on the line connecting the linear interpolation point between the first two control vertexes and the linear interpolation point between the last two control vertexes,and they are the linear interpolation points between these two linear interpolation points respectively,namely,these four linear interpolation points are colinear.

提出了二次Bézier可展曲面的设计方法：给定可展曲面的4个角点a0、b0、a2、b2和两个自由设计参数？姿、？滋，则待求的2个控制顶点a1、b1是在前2个控制顶点a0、b0的线性插值点a*与后2个控制顶点a2、b2的线性插值点b*的连线上，并且也是a*、b*这2个线性插值点的线性插值，即这4点a*、a1、b1、b*共线。

Generally speaking, this resulting univariate equation has three real roots or has a real root and a pair of conjugate complex roots.

但根据参数化的过程是平面与拼接曲面相截获得交线后，再用平面与所得交线相截。

In addition, depending on the method of numerical simulation and theoretical analyses, some kinematic and geometric features of 0° involute—enveloping worm gear drive, such as meshing surface, first—type limit, second —type limit, worm surface, the numerical representation of contact line and bearing contact, are systematically studied. These relevant conclusions provide an important basis for the design and manufacture of new type worm gear set. As we predict, the method of numerical simulation has special effect in solving the question of complex conjugate surface.

综合利用仿真方法与解析手段，对0°渐开线包络蜗杆传动的啮合面、一类界限、蜗杆齿面构成、仿真接触线及仿真接触域等运动几何学特性进行了系统研究，有关结论为此种新型蜗杆副的设计与加工提供了重要基础，并且显示出数字仿真方法在研究复杂共轭曲面问题时所具有的特殊功效。

The use of BASIC variables, function and expression of programming to complete complex curve and surface processing.

使用BASIC变量、函数和表达式编程，能完成复杂曲线和曲面的加工。

RE is a new technology applied to modern product design. It can be used to design complex curve and surface and has been widely applied in the design of auto.

逆向工程是现代产品设计的新技术，具有复杂曲线、曲面设计功能，在汽车、叶片的设计中得到广泛应用。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。