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A reasonable mathematical model and a effective stitching algorithm were established based on homogeneous coordinates transformation, least square method and Zernike polynomial fitting.

介绍了子孔径拼接干涉检测非球面的理论和方法，分析了其基本原理，基于齐次坐标变换、最小二乘法和Zernike多项式拟合建立了一种合理的拼接算法和数学模型。

Applications of homogeneous coordinates in the variable system classifications of structures;2. According to the homogeneous coordinate transition,we deduce the formula for computing target pose under the absolute coordinate system an.

在此基础上，进一步建立空间动态目标全姿态激光跟踪测量的模型，基于空间坐标系的齐次坐标变换，推导出目标分别在绝对坐标系和相对坐标系下的姿态计算公式。

Making use of the elementary matrix form of stereohomology, this work presents a theoretical framework with the approximately axiomatized form in computer graphics especially the three dimensional reconstruction based on homogeneous coordinates, and the analytical forms of projection and reconstruction with generalized meaning have been obtained, in which the Moore-Penrose pseudo-inverse of the camera matrix is employed.

通过给出的中心投影和平行投影等的解析解，提出计算机图形学、尤其是三维重建方面，基于齐次坐标表象的公理化的理论框架，并由此得到采用Moore-Penrose广义逆的、具有较为一般意义的投影与重建过程的解析表达式。

Before separating, we mark three points which are not collinear of the object firstly; secondly we use homogeneous coordinates and normalization to deal with the date we measured, which can make the date work for the system we developed.

在分开待测物之前先标定待测物体不共线的三个点，在分开以后进行坐标变换还原数据，然后归一化所得数据，使数据直接应用于系统。

The lines in the P^3 will be mapped to the points in the P^5 by using the Klein mapping representation and the homogeneous Plücker coordinates, the dependency of screw system is determined, criterions of dependency are given, and the dependency on different geometrical conditions are listed.

利用Klein映射表示法，通过齐次Plücker坐标将P^3中的线映射为P^5中的点，来确定螺旋系的相关性，给出了相关性的判据，并列出了在空间不同几何条件下螺旋系相关性列表。

By means of homogeneous coordinates, a type of important subdivision—Rational Matrix Subdivision are proposed in chapter 2. Many good geometric properties of the curves with Rational Matrix Subdivision such as convex and variation diminishing properties are proved.

第二章以齐次坐标为工具，提出了一类重要的细分法——有理矩阵细分方法，并证明了其生成曲线的优良性质，例如凸包性、变差缩减性等（参见第二章§2.3节）。

However, perspective projections are not, and to represent these with a matrix, homogeneous coordinates must be used.

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It is one of the two coordinates in the horizontal coordinate system, the other being azimuth .

高度角是地平座标系统的其中一个座标；另一个为方位角。

It is one of the two coordinates in the horizontal coordinate system, the other being altitude .

方位角是地平座标系统的其中一个座标；另一个为高度角。

An open-source rendering support for multi-curve graph control source code, you can scale vertical and horizontal coordinates.

详细说明：一款开源支持多曲线绘制图表的控件源代码，可以纵横坐标刻度。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。