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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。

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.

但是

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。