坐标变换

An initial spherical parameterization is firstly constructed by lifting planar parameterization to the sphere through the stereographic projection. Then we introduce an efficient approach based on bary centric coordinate to improve the initial spherical parameterization. At last, a uniform spherical parameterization is generated by a Moebius transformation.

通过立体投影将现有的平面参数化方法推广到球面上，得到一个初始的球面参数化；为了减小变形，引入质心坐标进行全局优化；最后用Moebius变换均匀化最终的球面网格。

For acquiring relations between the eigenfunctions of waveguides and tensor Green function, we first take the Fourier transform of Green function. In isotropic media the simplest image function can be expressed in dyadic form, and in anisotropic media in the form of ABA+-ikz0,where A is the coordinate matrix.

为了得到波导管的本征函数和格林张量函数的一些关系，我们首先对格林函数作富氏变换，它的象函数在各向同性介质波导中以并矢形式作为最简单的表达方法，而在充有各向异性介质波导中可以表为ABA~+e~的形式，这里A是坐标矩阵。

Mathematics Unaffected by a designated operation, as a transformation of coordinates.

恒定的：不受指定运算，例如坐标的变换影响的

Constructing a unitary matrix for transformation of coordinates by means of quadratic form theory,the Hamiltonian of the 3D coordinate-momentum coupling harmonic oscillator is transformed into diagonalmatrix,it not only offer a general mathematic method for solving this kind of problems,but also have an active effect upon upgrading students ability to solve physics problems by mathematical theory.

利用二次型理论构造一个幺正矩阵进行表象变换，将|x〉表象中的三模坐标-动量耦合量子谐振子体系的哈密顿量对角化，这不仅提供了一种解决该类问题的一般数学方法，同时对培养和提升学生运用数学工具解决复杂物理问题的能力也具有积极的指导作用。

In order to solve exactly the dynamic problems of the double coordinate coupling harmonic oscillators, the quantum unitary operator corresponding with classical canonical transformation is derived using the momentum eigenvector in Fock representation by constructing asymmetric integration.

为了精确求解双模坐标耦合谐振子体系的动力学问题，利用动量本征矢在Fock表象中的表示构造不对称积分，找到了与经典正则变换对应的量子么正算符。

This paper analyses the mathematical model for BDFM (brushless doubly-fed machine) based on synchronous coordinates in the point of rotor speed d-q model. A new type of power control system is designed by using flux linkage oriented vector transformation control technology.

从转子参考轴d-q模型出发，研究同步坐标下的无刷双馈电机的数学模型，根据BDFM的特性，采用磁链定向的矢量变换控制技术，设计了一种新型的功率控制系统。

According to structure characteristics of on-line CMM and the property of non-coincident zero point, error correction model of CMM is built by homogeneous transformation matrix.

根据在线坐标测量机结构特点和零位不重合的特征，利用齐次变换矩阵建立测量机的误差修正模型。

A stereo pair of SPOT-5 imagery acquired in across-track mode is selected and used. The empirical results have shown that the proposed geometric model, compared with the original model which considers the CCD line-scanner side watch angle as a constant, can improve the x-coordinate accuracy of image points, and can also raise the height accuracy of object space coordinates significantly while maintain the same level of the planimetric accuracy.

经对一SPOT-5异轨立体像对的试验表明，利用改进的几何模型和视CCD线阵列侧视角为常数的仿射变换模型对立体影像进行几何处理，前者较后者的像点x坐标精度有一定的改善，物点的高程精度有所提高，平面精度两者基本一致。

To detect the position of crop-rows, a method based on Hough transform and connected component labeling was put forward. First, a true color image of field crops was processed with gray histogram and OSTU respectively. Then the noises in the image were eliminated by means of eight connected component labeling according to their areas. The centroid coordinates of each labeled crop were computed after the second labeling, through which the center line of the crop-row was regressed by Hough transform. Experimental results show that the method is effective.

该方法分别用直方图法和最大类间方差法二值化图像后，经过8连通区域标记后据其面积属性去除噪声，然后再经一次标记后找出各标记作物的重心点坐标，最后通过Hough变换检测过重心点的直线，即到得到过作物行的中心线，试验结果表明了该方法的有效性。

The inliers of all objects can be refined according to image transformation properties,and the inliers ensure robustness of the least-squares solution.

对增广矩阵进行列变换，依据坐标转换的特性可从中提取多目标的稳定正常点，实现了快速分离多目标的匹配点。

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。