Solving Energy Levels for SSH Hamiltonian Describing Peierls Phase Transition by Virtue of Invariant Eigen-operator Method

We show that the recently proposed invariant eigen-operator （IEO） method can be successfully applied to solving energy levels for SSH Hamiltonian describing Peierls phase transition. The electronic energy band of compound lattice is also studied by IEO method.

Deriving Energy-Level Gap of a System in Presence of a Kerr-like Medium by Virtue of Invariant Eigen-operator Method

In this paper, we find the invariant eigen-operators （IEOs） and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many eases is simpler and easier on obtaining the energy-level gap formula than the usual way.

Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for Jaynes-Cummings Model

We extend the concept of invariant eigen-operator to pseudo-invariant eigen-operator case through analyzing the standard Jaynes-Cummings model. We find the pseudo-invariant eigen-operator in terms of supersymmetric generators of this model, which diretly leads to the energy-level gap for Jaynes Cummings Hamiltonian.

Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian

For classical Hamiltonian with general form H = 1/2∑ijMijpipj＋1/2∑ijLijqiqj we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator （IEO） method （Fan et al. 2004 Phys. Lett. A 321 75） to derive them. The general matrix equation, which relies on M and L, for obtaining the normal coordinates of H is derived.

“Eigen-Operator” Method of the Square of Schroedinger Operator in Interaction Picture and Its Application in Describing Parametric Amplifiers

We extend the method of searching “eigen-operator” of the square of the Schroedinger operator to the interaction picture, which not only helps to construct Hamiltonians of two kinds of parametric amplifiers but also leads to a new uncertainty relation regarding to the free Hamiltonian and the interacting Hamiltonian.

Pseudo-invariant Eigen-Operator Method for Solving Field-Intensity-Dependent Jaynes-Cummings Model

By using Gumming （JC） model. energy-level gap of this the pseudo invariant eigen-operator method we The pseudo-invariant eigen-operator is found in JC Hamiltonian is derived. This approach seems analyze the field-intensity-dependent Jaynes terms of the supersymmetric generators. The concise.

Energy Gap for Some Hamiltonian Systems Describing Polariton Systems Obtained via Invariant Eigen-operator Method

Based on the invariant eigen-operator method （lEO） [Phys. Left. A 321 （2004） 75] we derive the exact energy gap for some Hamiltonians, which describe some polariton systems. The result shows that in some cases the IEO method, stemming from the Heisenberg approach, is more direct and convenient for deriving the energy-level gap formula than via the approach of solving the Schrodinger equation.

Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator

Noticing that the equation with double-Poisson bracket, where On is normal coordinate, Hc is classical Hamiltonian, is the classical correspondence of the invariant eigen-operator equation （2004 Phys. Left. A. 321 75）, we can find normal coordinates in harmonic crystal by virtue of the invaxiant eigen-operator method.

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator （PIEO） and energy-level gap are presented under one-order approximation.

＂Pseudo-invariant Eigen-operator＂ Method for Deriving Energy-Gap of an Atom-Cavity Jaynes-Cummings Hamiltonian with Atomic Centre-of-Mass Motion

Using the ＂pseudo-invariant eigen-operator＂ method we find the energy-gap of the Jaynes-Cummings Hamiltonian model of an atom-cavity system. This model takes the atomic centre-of-mass motion into account. The supersymmetric structure is involved in the Hamiltonian of an atom-cavity system. By selecting suitable supersymmettic generators and using supersymmetrie transformation the Hamiltonian is diagonalized and energy eigenvectors are obtained.

Deriving Energy-Gap of Some Nonlinear Hamiltonians by Invariant Eigen-operator Method

By virtue of the invariant eigen-operator method we search for the invariant eigen-operators for someHamiltonians describing nonlinear processes in particle physics.In this way the energy-gap of the Hamiltonians can benaturally obtained.The characteristic polynomial theory has been fully employed in our derivation.

基于快速SIFT特征提取的模板匹配算法

针对尺度不变特征变换(SIFT)算法计算量大的问题,提出一种基于快速SIFT特征提取的模板匹配算法。采用递推方法加速计算每个种子向量,利用向量排序来保持算法对旋转的不变性,并通过一种适用于该描述符的快速搜索匹配方法,提高算法的实时性。实验结果表明,该算法能提高匹配速度,并且能在旋转、缩放的情况下有效地识别目标。

基于AAM-SIFT特征描述的两级SVM人脸表情识别

采用AAM定位特征点、尺度不变特征变换(SIFT)描述特征的方式提出一种基于AAM-SIFT的表情特征提取方法。该方法用特征点周围区域梯度方向直方图描述表情特征;同时根据不同子区域对表情的贡献不同,将特征点分组并赋予不同权重,并用两级支持向量机(SVM)对融合的加权特征进行分类识别。在标准表情库和多姿态表情库上的验证结果表明,该方法能有效提高正面人脸表情的识别率,对一定偏转角度的非正面人脸表情也保持较好的鲁棒性。

增强现实中的视频对象跟踪算法

根据增强现实在视频对象跟踪中的应用需求,提出一种综合利用尺度不变特征变换(SIFT)算子、K聚类算法和轮廓检测的视频对象跟踪算法。该算法利用简易SIFT获得输入图像的特征点,通过K聚类算法获得可能的对象聚类,并采用改进的轮廓处理方法得到对象边界,移除孤立点,确定对象特征点,在对象特征点中获取增强现实应用中需要的注册点。在关键帧匹配中,只要使用对象特征点进行对象匹配。实验结果表明,该算法具有运行速度快、匹配正确率高的特点,能满足增强现实视频应用的注册需求。

一种抗几何攻击的鲁棒性图像水印嵌入算法

提出了一种基于傅立叶域的数字图像水印算法。该算法把计算出的图像不变质心作为对其进行对数极坐标变换的原点,再作傅立叶变换,取出中频段幅值作为水印嵌入域。该算法具有较好的鲁棒性、可检测性,能同时抵抗几何攻击和信号处理攻击,它在数字图像的版权保护等领域有广泛的应用前景。

基于超图模型的图像目标识别

基于类属超图模型给出简单图像和复杂图像目标的识别方法。通过提取简单图像的稳健尺度不变特征变换特征,得到其对应的属性图,采用RSOM聚类树的思想和K近邻方法快速实现对简单图像的目标识别。复杂图像存在较大的背景干扰和遮挡的影响,通过滑动窗方法在待识别图像中定位待识别目标区域,并将该区域从待识别图像中分出,然后采用与简单图像识别方法类似的方法完成目标识别,减少背景干扰和遮挡的影响。仿真实验表明,2种图像目标识别方法是有效的。

一类新的纹理谱描述子

在纹理元的基础上提出了一类新的纹理谱描述子,新的纹理谱描述子在3个方面作了改进:将像素的灰度差量化为4个值;量化区间根据纹理对比度自动确定,并保证量化值具有灰度线性不变性;利用相关性弱的8邻域像素构建纹理谱描述子,从而降低了纹理谱维数。定义了基于新的纹理谱描述子的光照、旋转不变性纹理特征。利用该特征对Outex纹理进行光照、旋转不变性分类,分类准确率高于基于局部二值模式的光照、旋转不变性纹理特征。

基于Shaw不变流形的双层金属橡胶隔振系统振动响应分析

多自由度非线性系统求解是困扰其推广使用的难题,为解决多自由度金属橡胶非线性隔振系统特性分析与响应计算问题,采用基于Shaw不变流行定义的非线性模态理论来求解双层金属橡胶隔振系统的振动响应。首先基于金属橡胶双折线本构关系模型建立了双层金属橡胶隔振系统的力学模型,并对金属橡胶迟滞环节进行了等效线性化,推导了隔振系统的运动微分方程;然后依据Shaw不变流行的定义,提出了能使非线性模态理论成立的基本假设,推导了该系统的非线性模态方程,并指出了用非线性模态叠加法求解的过程;最后分别用该方法与Runge-Kutta数值计算方法求解了算例,并将结果进行对比,说明了以非线性模态叠加法求解两自由度金属橡胶隔振系统响应的可行性,尽管该方法尚不能十分精确,但在多自由度非线性系统求解没有较好的办法的现状下,为解决多自由度金属橡胶振动系统响应计算问题打下了基础,该方法对多自由度非线性系统的求解具有重要的意义。

基于SIFT的图像盲取证方法

采用一种基于尺度不变特征变换的算法提取图像特征,使用乘积量化的近似最近邻搜索方法对子空间分别进行量化,运用非对称距离算法计算特征向量之间的欧氏距离,提出一种新的数字图像复制粘贴被动盲取证方法。实验结果表明,该方法能够准确地对复制区域经过预处理的伪造进行检测,减少内存的使用量和空间复杂度,缩短搜索时间。

应用几何矩和边缘检测的手势识别算法

提出了一种结合几何矩和边缘检测的手势识别算法。手势图像经过二值化处理后,提取手势图像的几何矩特征,取出几何矩特征7个特征分量中的4个分量,形成手势的几何矩特征向量。在灰度图基础上直接检测图像的边缘,利用直方图表示图像的边界方向特征。最后,通过设定两个特征的权重来计算图像间的距离,对30个字母手势进行识别,识别率为90%。