查询词典 homogeneous coordinates

By taking advantage of a corollary of the Desargues theorem and the corresponging extension of Desarguesian configuration, the concept of stereohomology has been defined in projective geometry and presented based on homogeneous coordinates. Consequently, a series of geometrical transformations, such as central projection, parallel projection, centrosymmetry, translation transformation, reflection, rotation transformation, which can be contained in it or derived from it have also been analytically defined.

利用Desargues定理的一个推论和引申的Desargues图形，给出"空间透射"在射影几何意义下基于齐次坐标表象的解析定义，从而解析定义了可蕴涵其中的中心投影、平行投影、中心对称、平移、反射等几何变换以及可由此衍生出的旋转变换。

The application of homogeneous coordinates in the analysis of complex spatial mechanism is presented.

介绍一种用于复杂空间机构分析的简捷而有效的数学方法———齐次坐标及其变换，阐述了齐次坐标的定义、性质及坐标变换。

Finally,extension algorithms for NURBS curves are discussed by means of homogeneous coordinates.

最后，利用齐次坐标讨论了NURBS曲线的延伸算法。

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。

The computation by using image coordinates will cause computational breakdown or deterioration of accuracy when they become too large,and the computation by using homogeneous coordinates will increase computation work.

现在，越来越多的人们逐渐把注意力放在关于射影几何的计算以及利用不变量进行物体识别[3][4]。

By introducing the two dimensional homogeneous coordinates of an infinite point on Euclidian plane,the point coordinates and linear coordinates of an infinite point in straight lines,some theorems and conclusions referred to infinite points are applied in the classifications of structures in this paper.

引入了欧氏平面上无限远点的二维齐次坐标和直线上无限远点的点坐标及线坐标，引用了与无限远点有关的一些定理及结论于结构的分类中。从而给出了可变体系中的常变与瞬变在结构形式上的区别，完善了杆系平面结构几何组成规则的内容

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。