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The singular value vector of face image is analyzed and its nature is revealed,i.e.,the singular values of face image are obtained by decomposing the face in the special basis space that is determined by the face image.

通过对人脸图像奇异值的分析,证实了图像奇异值是图像在特定基空间分解得到的,这个基空间是由图像本身决定的。

The image matrix is transformed into vector by singular value decomposition. The angle between singular vectors of the original image and the distorted image is used to measure the image quality.

考虑原始图像和畸变图像尺寸不一致的情况,提出了用奇异值分解把图像矩阵转为向量,用奇异值向量之间的夹角作为图像的质量评价指标。

The algebraic and geometric invariance of singular value vector is firstly given,and then singular value vector compressed is extracted as the image feature,then RBF neural network is used to training and recognition.

首先说明了彩色图像的奇异值向量具有代数和几何不变性,再将降维的奇异值向量作为图像的特征,然后应用RBF神经网络进行训练和识别。

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu,et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

条件非线性最优扰动是Mu等2003年提出的一个新的理论方法,它是线性奇异向量在非线性情形的推广,克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷,成为非线性系统可预报性和敏感性等研究新的有效工具。

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu , et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

摘要条件非线性最优扰动是 Mu 等2003年提出的一个新的理论方法,它是线性奇异向量在非线性情形的推广,克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷,成为非线性系统可预报性和敏感性等研究新的有效工具。

Some new idea and techniquesabout statistic tangent distance, compute tangent vector based on Singular Value Decomposition,the choice of transformation parameters, dimension decrease based on SVD, feature extractionbased on Mahalanobis distance are proposed in the dissertation.

在统计切线距离、基于奇异值分解求解切线向量、变化参数的选择、基于奇异值分解的降维、基于马氏距离的特征选择等方面提出了自己的新方法。

In this way, the velocity inverse of a manipulator at singular configurations is uniquely defined, hence, the precision trajectory control of a manipulator at singular configurations can be implemented.

因此,该模型能保证机器人处于奇异位形时运动学反解的唯一性,使机器人在奇异点得到精确的轨迹控制。

By use of singularity functions, a new analyzing model of vertical member in structural analysis of high rise buildings was established, and the matrix equation was also presented.

介绍了奇异函数的特点,利用奇异函数建立了一种新的高层结构竖向构件分析模型,给出了基本柔度矩阵方程,并讨论了方程的基本性质和意义。

These results reflect the less stability of strange hadronic matter with weak hyperon-hyperon interaction.

这些都反映了弱的超子相互作用下奇异强子物质的稳定性要弱于强的超子相互作用下的奇异强子物质。

Suppose the set of source states S is a cogredient normal form of all the n×n non-alternation matrices over F, the set of encoding rules E and decoding rules E are all of the n×n nonsingular matrices over F, and the set of messages M is all of the n×n singular non-alternation matrices over F. Construct the maps where K=.

令信源集S为F上所有的n×n非交错矩阵的合同标准型,编码规则集E和解码规则集E为F上所有的n×n非奇异矩阵,信息集为F上所有的n×n奇异的非交错矩阵,构造映射其中K=。

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