张量场

In exterior differentiation, one studies tensors, exterior algebra, tangent bundle, tangent vector fields, one-parameter groups action on a manifold, Frobenius's theorem, tensors fields, exterior differential form, integration on manifolds, Stokes's theorem etc.

外微分部分主要涉及外代数、切丛，光滑切向量场，单参数变换群，光滑张量场，外微分形式，Frobenius定理，外微分形式的积分，Stokes定理及其应用等。

Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

Yano 关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广，显然这个方法也可应用到调和张量场和Killing张量场的情形，这将在另文讨论。

The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构，研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

The SNR of DTI data is relatively low, which degrades the quality of visualized tensor field data.

由于DTI数据的信噪比较低，会影响张量场数据可视化的效果。

Experiments were performed on both synthetic second-order tensor field and real diffusion tensor data set.

在合成二阶张量场和真实扩散张量数据集上进行了实验。

The comparison of objective results and subjective evaluation of the filtered images indicate that the proposed filtering method can effectively remove noise and keep tensor field details unchanged.

客观结果比较和滤波图像的主观评估表明：该滤波方法可在保持张量场细节不变的同时有效地消除噪声，是磁共振扩散张量场的一种有价值的滤波工具。

Therefore, topology of second-order tensor field around a degenerate point is determined and theoritic foundation of visualization of the second-order tensor field is built.

从而，定性地确定了简单"退化点"附近特征向量轨迹的拓扑结构。为进一步进行二阶张量场的可视化奠定了理论基础。

Full pipeline through tensor estimation,DTI parameter image computing,tensor field visualization,fiber tracking and visualization procedures are implemented.

该系统提供了从扩散张量图像的估计重建、各种导出参数图像的生成、张量场可视化和纤维跟踪与可视化在内的完整的DTI处理与分析功能。

According the characteristic of tensor filed can externalize the local exposure information in image,this paper introduces an image de-noising method which uses the local exposure information of tensor field to control filter.

郑州大学电气工程学院，郑州 450001摘要利用张量场能体现图像各个局部的朝向信息的特点，提出利用张量场局部朝向信息控制滤波器对图像进行去噪处理的方法。

Then, the permeability tensor theory is utilized to calculate permeability tensor value of each measured chamber section in order to obtain crack medium three-dimension permeability tensor field.

针对裂隙岩体的非均质性、各向异性特点，本次毕业设计对紫坪铺水利枢纽工程地下洞室开挖后洞壁裂隙结构面进行了几何参数测量和分组，再利用渗透张量理论计算各测量洞段渗透张量值，获得裂隙介质三维渗透张量场。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了