现在必须得停一下了，之前说到的，可以通过把坐标系变换到某平面上，那些曲面都是平的。
Now, this has to stop somewhere. I can start claiming that I can somehow bend my coordinates to a plane, any surface is flat.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
提出了用矩阵变换和混合的方法，构造多种由相关曲线依据不同的扫掠规则生成的扫掠曲面。
According to different sweeping rules, a method for constructing a sweep type surface by means of coordinate transformation and blending is described.
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.
首先介绍透视变换和透视纹理映射原理，并简要分析其在自由曲面纹理映射中的应用。
First, the principle of perspective transformation and its application in the texture mapping of free-form surface are presented.
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.
并且通过坐标变换或投影平面代替曲面等方法可以处理球壳及曲面屋盖的风压分布插值计算。
Wind pressure distributions on spherical shell or curving roofs can be obtained by the method of coordinate transform or projected plane of curved surface.
在多点成形过程中，3维曲面形状的离散傅里叶变换描述能够反映成形件的整体变形特性。
With Discrete Fourier Transforms description of 3d curved surface, transform function of forming process is discussed.
给出了二次曲面在转轴变换下的六个不变量的简易证明。
A simple proof of six invariants under the transformation of spin axis is put forward.
本文在基于曲面拟合的水泵水轮机全特性曲线的变换新方法的基础上，将移动最小二乘近似应用于对全特性的曲面拟合。
In this paper, moving least square (MLS) approximation is applied to simulate the complete characteristic curves of reversible pump turbine based on the surface fitting.
应用伽利略变换对简化后的方程进行变量变换，使得曲面函数仅与空间相关；
The Galilean transformation was applied to the simplified equation to make a surface function related to only coordinates.
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.
利用可积系统的方法研究3维球空间中的常中曲率(CMC)曲面，并给出了曲面的谱变换。
It is studied that the CMC surfaces in the sphere space of dimension 3 by means of integrable system and its spectral transformation is given.
文中借助于形象思维把齿轮的啮合几何化，提出了一种研究按滚切法工作的切齿刀具的方法，从节曲面到齿曲面的射影变换。
In this paper we propose a method of projective transformation from pitch surface to cutter surface for studying face mill cutters.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
准光模式变换器主要采用矢量绕射理论和几何光学理论，并结合两种理论设计复杂反射曲面。
Quasi-Optical Mode Converter is mainly adopted vector diffraction theory and Geometry optics theory, and the numerical results of complex reflector are analyzed.
设计不规则光滑曲面的方法很多，但拓扑变换法以其作图简单、准确、计算方便而独具特色。
There are many method to design irregular smooth curved surface. The unique feature of topological maps axe simple, accurate and convenient for calculation.
利用空间坐标变换法，得出弯管状屏蔽体的曲面方程式，用精确解析解取代了常用的数值近似解。
The camber equation has been established by means of space alternate coordinate; the numerical approximate calculation is replaced by accurate calculation.
利用三维边界拟合坐标变换技术，可将具有任意曲面边界的三维物理区域变成长方体计算区域，在该区域中形成单位立方体差分网格。
By means of BFCT, a three-dimensional physical space with arbitrary configuration can be transformed into standard cube, forming the unit cubic grid.
利用保角变换，首先在二维平面得到双曲线型的等位线簇方程，然后过渡到三维空间，从而得到表面为单叶双曲面（两实半轴相等）的带电导体的等位面簇方程。
Transition to the three-dimensional space, then we obtain the equation of equipotential surface families of charged conductor with surface of hyperboloid of one sheet.
提出了一种变换法，使对偶绝对二次曲面像的各个元素变到同一个数量级上，可以使求解过程更具有鲁棒性。
To solve the problem, the method that all the elements of the image of dual absolute quadric are transformed into the same magnitude is proposed.
提出了一种变换法，使对偶绝对二次曲面像的各个元素变到同一个数量级上，可以使求解过程更具有鲁棒性。
To solve the problem, the method that all the elements of the image of dual absolute quadric are transformed into the same magnitude is proposed.
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