查询词典 homogeneous coordinates

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。

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

Additionally, for these non-homogeneous materials, there is a relation between the material energy-momentum tensor and material coefficients under the infinitesimal translation, rotation and dilate of coordinates.

对于此种非均匀材料，物质能量-动量张量在坐标无穷小平移，转动和膨胀条件下与电磁焓中包含材料系数导数的形式有关。

The necessary and sufficient condition of separation for homogeneous Scalar Helmholtz equation is both the existence of Stackel determinant and h 1h 2h 3S=f 1(μ 1)f 2(μ 2)f 3(μ 3)in orthogonal curvilinear coordinates system.

讨论了在正交曲面坐标系中齐次标量Helmholtz 方程变量分离的充要条件是Stackel行列式存在且h1h2h3S＝ f1（μ1）f2（μ2）f3（μ3）成立。

Luneberg lens is a spherical lens which its permittivity varies with normalized radial coordinates. It is fabricated by using different homogeneous dielectric centrically layered media. The lens can focus a parallel beam of rays from any direction exactly at a point on the surface. If it is made by adding a reflecting surface "metallic cap", it is called Luneberg lens reflector. It can reflect incident wave into plane wave in incoming direction. It is usually applied in antenna, radar reflector,satellite-based, and mobile-communucation.

龙伯球透镜为一种介电系数与半径成一固定比例的球形透镜，大部分是由数层不同介电系数介电质组合而成，而其主要特性能够把入射波聚焦到球表面一点，假使在透镜表面处镀上一圆锥角金属层即为龙伯球透镜反射器，能把入射波依平面波的型态反射回原入射端，通常用於天线、雷达、卫星通讯、军事等方面。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。