对应点

It is found that in the series of alkaline earth borates the four points of 〓,〓 and SrB〓O〓 are on the same line, but the points of 〓 and BaLiBO〓 deviate from this line.

在碱土硼酸盐系列晶体中〓，〓和SrB〓O〓四种晶体所对应的点处在同一条直线上，而〓和BaLiBO〓晶体所对应的点并没有处在这条直线上。

And then, we prove the coincidence relation between one skyline point of high dimensional space and the most mild points of one subset, thus enabling it to transform skyline computing in high dimensional space to figuring out the most mild points in all subsets.

为此，本文首先提出了高维数据集上"平和点集"的概念，它由各属性值中的最小值比数据集中其他点对应最小值"好"的那些点组成；然后，论证了"平和点集"中最大平和点和skyline点的对应关系，从而转化高维数据集上skyline计算为其任意子空间上的最大平和点计算。

As to the remaining parameters, two methods are developed: first, accepting that the projection function complies with a circular function within at least a part of a given field of view, constrained by the obtained object-to-image radial mapping and a constant focal length, the best-fitting point of the optical origin is tested along the optical axis; secondly, referring to the postulation of the exclusively bilateral mapping between an imaged point and its scenic sight ray, a measuring technique is developed to survey the world coordinates which will fabricate a projecting path to the imaged points located on the imageable region of the image plane in order to directly model the projection geometries involved.

而针对其余参数本文提出两种解题方法：其一是根据『在「部分视野角范围」内，鱼眼相机的投射模型符合一典型的「圆形函数」』以标靶实体与其影像尺寸为限制条件，测试光学轴上的最佳视觉参考点、鉴定最适当的投射模型、焦距、及有效的视野角度范围。其二是根据『一视野线排他性地与对应「呈影点」一一映射』参考一呈影点来搜寻空间中对应视野线的绝对座标后，据以演绎相机内部影像形成的模型。

By combining the correspondence problem and the position and orientation estimation problem together to perform bundle optimization, the matching of the light-spot image points and the spatial light-emitting-spots of the light-probe could be completed, respectively, in order to achieve the stereo matching of the light-spot image points in the left and right images.

通过将对应匹配和位姿估计融合在一起，进行捆绑迭代寻优，分别完成左右两幅图像中光斑图像点与空间光笔光斑的对应匹配，从而实现了左右两幅图像中对应光斑图像点的立体匹配。

At and , we can get a univariate cubic equation in and its three roots . By the dependence of the roots and the coefficients of the equation, we can choose corresponding space points ( such that the distance is the shortest from to the point with parameters and . Thereby we can get all the data of discrete points on the cubic curve of blending surface at . Again we denote the maximum value and minimum value of planar parameter with which meets by and respectively.

利用根与系数的连续相依性，可以选相应的空间点使其距离的圆截线上对应值的点最近的两个根，从而得到处拼接曲面的截线的离散点的数据并确定出与相截的平面参数的最大最小值类似地由处拼接曲面截线的离散数据得到处的离散数据，这样可以依次计算出拼接曲面上对应所有参数点的离散点的坐标。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

And there is an approximate linear relationship between the momentum of the automatic mechanism and the length of the gas tube.

如β=〓与β=〓相比较（β角单位为弧度，其定义详见正文），前者与后者对应的气室最大压力之比可达65%，而对应的自动机动能之比可达60%；导气管内径对气室内气体压力冲量和自动机动能的影响存在极值点，且该极值点随导气孔的增大而有规律的增大；导气管长度对气室最大压力、压力冲量和自动机动能的影响呈单调递减规律，且自动机动量与管道长度之间近似符合一直线关系。

This paper extends the solution methods for 2-D projective transformation matrix from 4 points corresponding to variety combinations of points and lines corresponding, such as 4 points, 4 lines, 1 point and 3 lines, 3 lines and 1 point, and 2 points and 2 lines, etc.

该文把求解2-D射影变换矩阵的方法从单纯的四点对应扩展到多种组合形式的四元素对应当中，如：4点、4线、3点1线、3线1点和2点2线等。

Compared with methods appeared in literatures, our algorithm, with high accuracy, sensitivity and correctness, complete adaptively the correct distinction between interferential fringes and backgrounds. In chapter four, methods for the computer operatable description of line and region features are discussed, which contains: Computation curve's curvature in quantity, Fringes' separation distance , Contour's smoothness of region, Similarity of varied curves.

在第三章中，本文研究的是以线条为直接目标的图象分割方法——条纹抽取，在研究分析了许多条纹抽取方法以后，针对激光全息焊点缺陷检测这一课题中的复杂数字光学图象LHII条纹抽取进行了多方面的研究，主要有：分别从点对应、邻域特性对应推导并提出了几个信息分离算法；结合光学图象形成方面的知识，提出了变周期余弦分割二值化方法；结合当前条纹走向、毗邻条纹走向及可靠条纹点约束条纹跟踪，在许多方面，改进并发展了常规的条纹跟踪算法，实现了无人-机交互的全自动条纹跟踪抽取。

This chapter provides a mathematic model for the transformation between two images obtained from the same scene. Based on pin-hole camera model, the relationship between the coordination of two images is discussed using two camera models, and it is proved that geometric relationship of two images obtained from one scene satisfies affine transformation.

论文在****投影成像模型基础上，用两个不同相机在不同位置对空间中同一点成像，推导出对应点在不同图像中像素坐标之间的解析表示形式，证明了像素坐标之间满足仿射模型，同时分析了图像之间满足仿射模型时应具备的条件。

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。