查询词典 contraction of tensor

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。

As for models of hydraulic behavior, this paper makes a thorough study on aperture of rock joins、the number of open cracks after heating in rock mass、the fracture interconnectivity、tectonic stresses、the dilation due to shear sliding and chemical composition, and utilize fluid permeability tensor proposed by Oda, the tensor field of permeability in the fracture rock mass with coupled THM properties is derived.

在裂隙岩体力学模型方面，利用0'Connell建立的干裂隙岩体等效弹性模量与岩石模量的关系式，并由式中的裂隙密度概念意义，建立了温度作用下的裂隙密度与Oda提出的裂隙张量之间的关系式。

Applied DWT to R,G,B channel correspondingly, and used three low frequent coefficients to construct a 3-level tensor. Embedding the watermark into the core tensor, which got form Tucker decomposition, could diffuse the watermark into R,G,B.

首先对彩色图像R、G、B三通道进行小波变换，然后将获得的三个低频系数构成三阶张量，再经过Tucker分解后获得核心张量，通过在核心张量中嵌入水印信息使得水印信息扩散到原彩色图像的R、G、B三个分量中。

Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

The diffusion structure tensor in the diffusion coefficient function is a vector-valued structure tensor, which integrates the intensity and structure information of each channel, as well as the correlation among channels.

扩散滤波器中的扩散系数定义为关于彩色结构张量的函数，以使图像演化能够综合各通道信息，解决了各通道所得位移场不一致而引起的色彩混迭问题。

In order to improve the accuracy in micromagnetic simulation of complex boundary, derived were the point function demagnetization tensor of equilateral triangular prisms in terms of the symmetry of the magnetic body and a theorem about demagnetization tensor.

针对数值微磁学中矩形网格处理复杂边界时计算精度较低的问题，利用磁体本身的几何对称性和退磁张量的性质，通过在实空间求积分的方法解析地推导了等边三棱柱的退磁张量。

By selecting perceptible YUV colour space, the tensor product of multi-resolution-analysis was substituted for the tensor product of the wavelet function to build up the two dimensional Mallat algorithm to implement the fast wavelet transform, according to wavelet analytical theory.

选择了感知性强的YUV色彩空间，根据小波理论用多分辨分析的张量积代替小波函数的张量积，建立了二维的Mallat算法以实现快速小波变换。

The matrix tensor product computation is important in matrix computation. Compared with its multiplication, the computing amount of tensor product is huger. Based on analyzing its mathematical properties.

0引言在工程设计、数值代数等领域中，许多的计算问题最终会归结到矩阵的计算问题，需要利用并行计算机系统进行大规模并行计算。

On three uncalibrated images matching, the trifocal tensor is used in correspondence of tree trunks, and the shelter points could be fixed by points transfer of the trifocal tensor.

为有效的解决树木遮挡的难题，提出采用三焦点张量进行点转移来计算对应点的技术路线。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。