基于Cycle Spinning Contourlet变换和总变分最小化的遥感图像去噪算法(英文)

针对大部分已有的遥感图像去噪算法在去噪的同时不能有效的保留细节和增强边缘,提出了一种基于Cycle Spinning Contourlet变换和总变分最小化的图像去噪新算法.该算法依据了Cycle Spinning Contourlet变换能够很好的保留原始图像的细节和纹理信息,而总变分最小化方法具有在去噪的同时增强图像边缘的特性,因此使用所提出的融合规则对两种算法去噪后的图像进行融合能够取得更好的增强效果.通过对比,实验结果表明该算法不仅能在很大程度上削弱分别由平移不变Contourlet变换和总变分最小化的图像去噪方法产生的伪吉布斯现象和阶梯效应,而且视觉效果和PSNR值均优于其它方法,同时该算法能够保留更多的光谱信息,因此该算法是一种有效的遥感图像去噪算法.     

基于总变分的湍流退化噪声图像盲反卷积复原

根据总变分的噪声抑制特性和大气湍流成像过程,建立了基于总变分的大气湍流噪声图像多帧盲反卷积复原最小化模型,以基于共轭梯度数值优化方法的交替迭代算法求解,复原出了观测目标的清晰图像。在计算机上模拟了湍流退化和噪声污染图像。实验结果表明,该复原算法能有效地克服大气湍流和噪声的影响,可复原出清晰的原始目标图像。     

基于变分模型的单目视觉三维重建方法

提出一种基于单目视觉的致密场景重建方法,以实现对环境快速,准确地三维立体化建模。该方法针对自由式手持单目相机,在并行跟踪与地图创建(PTAM)算法框架下准确地实现相机的自定位。在此基础上,选取关键帧处图像序列,构造变分模式下深度估计模型;运用离散空间采样法获取初始深度图,借助于原始对偶算法实现该深度模型的优化,并结合相机投影模型估计待求解场景的三维模型。在统一计算设备架构(CUDA)下,利用图形处理器(GPU)进一步实现了深度估计算法的并行优化,显著提高了算法处理的实时性。真实场景下实验结果验证了所提算法的有效性与可行性。     

基于Cycle Spinning Contourlet变换和总变分最小化的遥感图像去噪算法

针对很多已有的遥感图像去噪算法去噪的同时存在不能有效的保留细节和增强边缘的问题,提出了一种基于Cycle Spinning Contourlet变换和总变分最小化的图像去噪新算法。该算法依据了Cycle Spinning Contourlet变换能够很好的保留原始图像的细节和纹理信息,而总变分最小化方法具有在去噪的同时增强图像边缘的特性,因此使用所提出的融合规则对两种算法去噪后的图像进行融合能够取得更好的增强效果。通过对比,实验结果表明该算法不仅能在很大程度上削弱分别由平移不变Contourlet变换和总变分最小化的图像去噪方法产生的伪吉布斯现象和阶梯效应,而且视觉效果和PSNR值均优于其它方法,同时该算法能够保留更多的光谱信息,因此该算法是一种有效的遥感图像去噪算法。     

一类扰动洛伦兹系统的解法

研究了一个大气物理中洛伦兹系统的求解问题.首先利用广义变分原理构造一组变分迭代,其次决定系统的初始近似,最后通过变分迭代方法得到了对应模型的各次近似解.广义变分迭代方法是一个解析方法,得到的解还能够继续进行解析运算. 关键词： 洛伦兹方程 变分原理 近似解     

基于TV正则化和局部约束的遥感图像恢复

阐述了基于总变分理论和基于像元亮度局部约束的退化图像恢复算法,为利用二者的优点获得更好的恢复效果.把总变分方法和局部约束方法结合在一起,提出了一种新的混合恢复算法.对最小二乘问题进行总变分正则化约束,形成迭代公式,在迭代过程中对所获得的结果利用局部均值和局部方差进行局部约束.实验中对退化的遥感图像分别用总变分约束方法恢复和本文提出的方法进行恢复,结果表明,该方法具有良好的图像恢复能力,图像恢复效果有了明显的提高.     

厄尔尼诺和南方涛动海气耦合模型中参数估计的变分方法

提出一种基于变分原理估计厄尔尼诺和南方涛动海气耦合模型中未知参数的方法. 首先将所研究的非线性海气耦合动力方程引入到目标泛函中; 接着利用变分方法导出伴随方程和待辨识参数泛函梯度的公式; 然后设计了估计未知参数的算法.数值试验结果表明变分方法是一 种能有效估计海气耦合非线性系统未知参数的方法.     

双流体等离子体模型的动力学可容变分

动力学可容变分方法是一种广义哈密顿系统中的李扰动变换方法,能自动保证卡西米尔函数在相应阶数上的守恒性质.通过动力学可容方法得到了双流体在欧拉描述中的一组约束变分,而后利用这组变分对双流体哈密顿量取极值得到了平衡方程.     

基于变分方法的混沌系统参数估计

提出一种基于变分原理的估计混沌系统未知参数的方法,对以x= F(x,θ) 为控制方程的所有混沌系统具有普适性.首先将混沌系统方程引入到目标泛函中;接着利用变分原理导出了混沌系统的伴随方程和待辨识参数泛函梯度的通用公式;然后设计了估计混沌系统未知参数的算法;最后对典型的Lorenz混沌系统和超混沌Chen系统的未知参数进行了估计.数值仿真结果表明该方法是一种非常有效的估计混沌系统未知参数的方法. 关键词： 混沌系统 参数估计 变分方法 伴随方程     

基于二阶离散变分方法的非线性映射参数估计

提出一种估计非线性映射未知参数的二阶离散变分方法.首先针对非线性离散混沌系统, 利用变分方法导出了伴随方程和目标泛函梯度, 以此为基础利用二阶离散变分方法给出了二阶伴随方程和精确计算Hessian矩阵-向量乘积的显式表达式; 其次设计了估计非线性映射未知参数的新算法, 并以此对Hyperhenón映射和二维抛物映射中的未知参数进行了精确的估计. 数值仿真结果表明了该方法的有效性和优点. 关键词： 非线性映射 参数估计 二阶离散变分方法 伴随方程     

互补变分原理及其在微扰理论近似中的应用

以正则变分和线性变分函数为基础，对互补变分原理作了论证，推导出二阶能量修正的上界和不受任何条件限制的下界，对具体计算方法作了详细的研究，得出互补变分原理在微扰理论近似中的应用，所求氢原子和极化率结果比一般的发法的微扰法所得结果更接近于实验值，并指出这理论可以推广应用到激发态或处理高阶修正问题。     

Linear propagation of dust acoustic modes in the presence of an electron beam

The physical and optical properties of plasmas are depended on dynamics of species in the discharge volume. Then, the presence of an electron beam, as a separate component, in a dusty plasma can modify the plasma structures through altering the discharge parameters. In this report, the linear propagation of acoustic modes in a collisionless dusty plasma contains electrons, ions and charged dust grains is investigated in the presence of an electron beam. Our analysis indicates that the electron beam can modify the dispersion relations of dust acoustic modes which resulted different data transportation in dusty plasmas. The obtained results are also examined for negative and positive charged dust grains with different number densities. The charge of dust grains represents an important role in the dynamics of the low frequency waves. Additionally, our findings reveal that the propagation of acoustic waves in dusty plasmas can be controlled by adjusting the electron number density of the beam and the cathode potential. Lastly, we obtian the destabilizing effects, originated from dust charge fluctuation, by reconsidering the dispersion relations of both dust acoustic modes.     

高阶非完整约束系统嵌入变分恒等式的积分变分原理

本文从高阶非完整系统嵌入变分恒等式的积分变分原理出发, 根据三种不等价条件变分的选取, 得到了高阶非完整系统的三类不等价动力学模型, 即高阶非完整约束系统的vakonomic方程、Lagrange-d'Alembert 方程和一种新的动力学方程. 当高阶非完整约束方程退化为一阶非完整约束时, 利用此理论可以得到一般非完整系统的vakonomic模型、Chetaev模型和一种新的动力学模型. 最后借助于应用实例验证了结论的正确性. 关键词： 高阶非完整约束 变分恒等式 条件变分 vakonomic动力学     

Studies on particulate matter (PM10) and its precursors over urban environment of Reading, UK

The extent to which airborne particles penetrate into the human respiratory system is determined mainly by their size, with possible health effects. The research over the scientific evidence of the role of airborne particles in adverse health effects has been intensified in recent years. In the present study, seasonal variations of PM₁₀ and its relation with anthropogenic activities have been studied by using the data from UK National Air Quality Archive over Reading, UK. The diurnal variation of PM₁₀ shows a morning peak during 7:00-10:00 LT and an evening peak during 19:00-22:00 LT. The variation between 12:00 and 17:00 LT remains more or less steady for PM₁₀ with the minimum value of ∼16 μg m⁻³. PM₁₀ and black smoke (BS) concentrations during weekdays were found to be high compared to weekends. A reduction in the concentration of PM₁₀ has been found during the Christmas holidays compared to normal days during December. Seasonal variations of PM₁₀ showed high values during spring compared to other seasons. A linear relationship has been found between PM₁₀ and NO_x during March, July, November and December suggesting that most of the PM₁₀ is due to local traffic exhaust emissions. PM₁₀ and SO₂ concentrations showed positive correlation with the correlation coefficient of R²=0.65 over the study area. Seasonal variations of SO₂ and NO_x showed high concentrations during winter and low concentrations during spring. Fraction of BS in PM₁₀ has been found to be 50% during 2004 over the study area.     

光学薄膜的相位变化与特点

从薄膜的导纳入手，分析了多层薄膜的相位特点和波长与相位的变化关系。计算了高反薄膜的相位变化，分析了光学薄膜的相位对光学器件的影响。     

Analysis and merit of the constrained-component variation in dirac theory

It is shown that the constrained-component variation generally suggested by Rosicky and Mark is very fundamental, has consistent variational features and reproduces, as a special case, earlier variational results for atomic systems obtained by Drake and Goldman. Numerical merits and demerits of this method are qualitatively assessed.     

Variational Formulation for the Multisymplectic Hamiltonian Systems

A variational formulation for the multisymplectic Hamiltonian systems is presented in this Letter. Using this variational formulation, we obtain multisymplectic integrators from a variational perspective. Numerical experiments are also reported.Mathematical Subject Classifications (2000). 70G50, 58Z05.     

Influence of shape variation on capacitance matrices

We theoretically determine the per-unit-of-length N × N capacitance matrix of a set of N conductors w.r.t. a reference conductor, obtained when expanding the cross-section of one or more of these conductors w.r.t. some nominal configuration. It is shown that certain relationships between the individual matrix elements of the nominal and of the expanded configuration exist. For the N ≤ 2 case, the expansion leads to the increase of the absolute value of all matrix elements. For N > 2 no such general conclusion is shown to exist. The results remain valid in three dimensions. A number of numerical examples illustrate the theory.     

基于广义变分正则化的闪光照相图像重建算法

针对闪光照相图像信噪比低的特点,提出了一种基于广义变分正则化的图像重建算法,该方法采用p-范数取代目前广泛采用的全变分范数作为正则项,构造了用于图像重建的展平泛函,将图像重建问题转化为目标泛函最优化问题,采用固定点迭代法求解图像重建的最优解。数值计算结果表明,该算法在重建过程中能够有效抑制图像噪声,并加大对图像边缘的保持能力,从而提高了图像重建质量,是一种有效且性能优良的闪光照相图像重建算法。     

The two annual northward jumps of the West Pacific Subtropical High and their relationship with summer rainfall in Eastern China under global warming

The two northward jumps of summer West Pacific Subtropical High （WPSH） are defined based on the pentad-scale ridge data of the WPSH ridge in 1951 to 2012. The times of the northward jumps are found to have obvious inter-annual and decadal characteristics, i.e., the occurrence of the first northward jump of WPSH shows a ＂consistently early-consistently late＂ decadal pattern, with the transition around 1980; the occurrence of the second northward jump of WPSH shows a ＂consistently late-consistently early-consistently late＂ decadal pattern, with the transitions about 1955 and 1978, respec- tively, which is consistent with global warming. In the meantime, the times of the two northward jumps not only have a good correspondence to the beginning and ending dates of the rainy season, but also greatly influence the position of the main rain belt in Eastern China. When the first northward jump occurs early, the main rain belt is located from just north of 30~ N to the south of North China, while the opposite situation appears when the first jump occurs late. When the second jump occurs early, more rain falls over North China and South China, but less falls in the Yangtze River region, while the opposite situation appears when the second jump occurs late. In the four cases when abnormalities occur in the same year as early or late northward jumps, the position of the main rain belt can be considered as a superposition of isolated abnormal effects of the two northward jumps. Moreover, the prophase and synchronous forces of the sea surface temperature in the Pacific has great influence on the times of the northward jumps, and the driving forces of the two jumps differ.