坐标变换

The next step is to create a transformation between two coordinate systems.

下一步是在两个坐标之间创建一个变换。

An analysis of the intersection of torus/sphere based on coordinate transformation

同一点在两个不同的坐标系中的两种坐标之间的变换。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

It directly builds the model with tail poiand equation of the straight line, it is a very simple and efficiency method.

然后提出了改进后的基于 Hough 变换检测直线表示轮廓的一种建模方法，直接用线段方程结合端点坐标来构建汽车简单三维模型，是一种高效的方法。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bone's radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the position of this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bones radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the positionof this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

Being formed by linear grain curved surface, helicoid can be expressed by a group of simple lines. Writing two equations of inside and outside of the helicoid, getting any one of simple line′s equation and from which getting the coordinations of two end points by projection transformation, the CAD system of helicoid is achieved. It...

由于螺旋面为直纹曲面，因此可用它的一组素线表示，用极坐标的形式写出内外两条螺旋线的方程，求出任一素线的方程，并通过投影变换求得素线上两端点的坐标矩阵，进而设计出螺旋面的CAD系统，并将其应用于实践，为设计优化决策提供有力的证据。

Based on projective geometry,a whole set of new stereoscopic3D-PIV theory was established by making use of homogeneous coordinates lineartransform.

文中从射影空间出发，利用笛氏齐次坐标线性变换的方法，建立了一套完整的体视3D-PIV三维重建理论。

The zeta function is now a reciprocal of an infinite product of polynomials.

此外，对於任何由中的单位模变换决定的倾斜坐标皆可得到相同结果。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。