查询词典 tensor field

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。

It is proved that two matrix tensor operation can be exchange at permuted similar and this kind permutation matrix is portrayed. Thus, the conclusion is obtained that tensor product of block matrixes can blocks to calculate at permuted similar.

由于此类问题计算量大，因此有效地进行这类矩阵计算在实际应用中非常重要，也引起许多学者对这类问题的研究兴趣，涌现出了许多研究成果。

Based on these, parallel computing problem of matrix tensor product is discussed, some parallel computing models are presented, the algorithm complexity is analyzed, and the thought and process are elaborated by an example. block matrix ; tensor product ; permuted similar ; parallel algorithms ; computational complexity

文献〔l论述了Cannon算法在工作站机群上的实现，文献[2]提出了一种基于对角划分的并行算法，文献〔3〕提出了在分布式环境下并行求解对称带状矩阵特征值问题的并行二分/多分法及其改进，文献41给出了稠密对称矩阵三对角化的MPI+OpenMP混合并行算法，还有著名的Cannon

On the basis of studying EH-4 data processing, we ase a menthod to read time-sires file correctly, adopt periodogram means to recalculate auto-power spectrum, cross-power spectrum and tensor impedance component, and recalculate resistivity depend on tensor impedance component. We compile proprietary softwareEH-4 Data Processing Program.

本文在剖析EH-4系统数据处理流程的基础上，正确地读取了EH-4系统原始时间序列文件，采用周期图方法重新计算了自功率谱、互功率谱和张量阻抗分量，以及由阻抗定义的视电阻率，编制了专用软件EH4 Data Processing Program。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。