查询词典 contraction of tensor

They are both independent of scene structure and are determined by camera internal parameters and relative pose among images. The concepts and characteristics of fundamental matrix and trifocal tensor are described.

基本矩阵和三视张量分别表示两张和三张像片之间的内部投影几何关系，它与场景结构无关，由摄像机内方位元素和像片间摄像机的相对姿态唯一确定。

The calculation algorithms of fundamental matrix and trifocal tensor from camera projection matrices are deduced in detail. These matrices are successfully applied to outlier detection and elimination of point and line observations.

本文系统阐述了两者的概念及其性质，详细推导了利用已知的投影矩阵计算基本矩阵及三视张量的具体方法，并成功应用于粗差点、直线段观测值的剔除。

Different from existing techniques such as robust estimation which detect and eliminate outliers during the adjustment process, this thesis detects and eliminates outliers with fundamental matrix and trifocal tensor before point-line hybrid bundle adjustment to ensure the stability of adjustment

现有的大部分平差理论如抗差估计等都是在平差阶段进行粗差的剔除，如何有效地剔除粗差观测值并获得稳定可靠的平差结果一直是研究的重点和难点问题。

Main contents of the thesis include point and edge extraction based on least-squares template matching; space circle template matching and reconstruction; outlier detection and elimination with fundamental matrix and trifocal tensor; improvement of Homography-based calibration technique, 2D-DLT and bundle adjustment based non-metric camera calibration technique with planar-scenes, point-line hybrid photogrammetry and visual inspection.

本文的主要研究内容包括影像格网点与直线段的自动最小二乘模板匹配；基于物方直接解的空间圆匹配与重建；利用基本矩阵和三视张量进行观测值粗差的剔除；同形矩阵摄像机标定算法的改进；基于二维 DLT 和光束法平差的非量测数字摄像机标定；点、线混合摄影测量模型与视觉检测精度分析等。

Surfaces of Revolution in E_2~4 Space;2. The subdivision rules based on the geometric interpretation of the tensor product scheme, and it can reproduce the surfaces of revolution .

其细分规则基于张量积曲面细分模式的几何意义，不仅可以生成旋转曲面等特殊曲面，而且可以根据参数来控制细分曲面的形状。

This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.

这给一更几何和直觉的对矢量和tensor微积分，以及广义相对论了解，比传统，更多的抽象的方法。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

Satellite gravity gradiometry is a new domain of studying the detection of gravity gradients in space and their applications, in particular, suitable for detecting the short wavelength characteristics of the earth's gravity field At present it is still at the stage of developing the ultra-sensitive tensor gradiometer and carrying out the pre-research of applications.

卫星重力梯度测量是研究空间重力梯度探测与应用的新领域，特别适于检测地球重力场的短波特征。目前它尚处在研制超灵敏张量梯度仪器和应用预研究的阶段。

In USA, tensor magnetic airborne gradiometer(using HTS-SQUID) GETMAG and MAGSAFE under construction by CSIRO in Australia.

研究和开发的航空全张量磁力梯度仪系统，澳大利亚联邦科学工业研究组织正在研制的航空张量磁梯度仪GETMAG和MAGSAFE，后者由CSIRO和澳大利亚国防科学与技术组织共同研制。

Satellite gravity gradiometry ; Ultra-sensitive gradiometer ; Gravity gradient tensor ; Earth's' gravity field model.

卫星梯度测量；超灵敏重力梯度仪；重力梯度张量；地球重力场模型

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！