查询词典 analytical geometry

The projective geometry is geometry of non-measured form.

射影几何是非度量形式的几何。

Coming in with the computer, it has been a hot spot, in computer vision and digital photogrammetry, which obtaining the information of geometry and texture of the shot objects by the technologies of computer image processing and projective geometry. And camera calibration is one of the most important contents.

随着计算机的出现，通过计算机图像处理和射影几何获取被摄物体几何以及纹理信息已经成为了数字摄影测量与计算机视觉界的研究热点，而相机标定则是其中最重要的内容之一。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

It was found that the geometries of the studied materials were significantly affected by the ring size and intramolecular charge transfer. The HOMO level, LUMO level, and band gap of the studied model compounds were well controlled by the acceptor strength. However, the electronic properties of the studied polymer showed a significant different trend with the acceptor strength due to the geometrical transformation. The model compound of EDOT-TP and T-TP has the aromatic geometry but is transformed to the quinoid geometry for large intramolecular charge transfer. The small bond length alternation and large acceptor strength in the EDOT-BDP polymer also results in the smallest Eg of 0.7 eV among the studied polymers.

我们发现环的大小以及分子内电荷转移对结构有很大的影响，而小分子的HOMO、LUMO和能隙受到电子受体强度所控制，然而，高分子的电子特性与其构成分子却有明显不同的趋势，这主要是由於分子结构的转变，如小分子EDOT-TP以及T-TP因分子内电荷转移，使其高分子结构由aromatic转变成quinoid；而EDOT-BPP因其键长改变量小和良好的电子受体强度，使其能隙仅0.7个电子伏特。

First, the basic principles of geometry rectification of digital aerial images and raster relief map are introduced and thus the accuracy of geometry rectification is improved.

首先，重点阐述了数字航空影像几何纠正，以及栅格地图变形纠正的基本原理，进一步提高了几何纠正的精度。

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同，该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性；进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波，既有利于保持模型的细节，又能保证曲面的光滑性；与此同时，优化各个顶点的法向；最后在优化后的几何属性引导下，在几何空间中进行高阶双边滤波去噪。

It is also considered to study the Finsler geometry which deal with the Chern''s connection、flag curvature、Ricci scalar of Finsler manifolds、Finsler submanifold geometry, and harmonic maps between Finsler manifolds.

研究芬斯勒几何的某些问题，包括芬斯勒流形的陈省身联络、旗曲率、Ricci数量、芬斯勒子流形几何以及芬斯勒流形间的调和映射等。

Geometry pieces. Instead of having one geometry set influenced by many bones, the

通过在不同的模型块之间建立点连接对于创建相应骨骼体式一个行之有效的办法。

It was found:(1) the stability of the clusters increased with the bond number in the clusters;(2) the clusters with three dimensional geometry are more stable than ones with two decisional geometry;(3) the ionic potential of the clusters in gas phase and on the surface of the silver bromide grains are all positive, and the electron affinity are all negative.

结果表明；气相中团簇的稳定性随团簇中键数的增加而升高，三维构型的稳定性大于二维构型的稳定性；气相中Ag〓团簇的电离能都大于零，电子亲和势都小于零；溴化银颗粒表面的Ag〓团簇的电离势也是大于零，电子亲和势也是小于零。

A 3-D solid unit cell geometry model is developed, the characteristics of geometry are studied and yarn-jamming condition is discussed.

该几何模型考虑了纤维束在内部、边界及边角的不同交织方式，纤维束在整个编织过程中的连续性，保证了三维编织复合材料的结构完整性。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。