Proximal extrapolated gradient methods for variational inequalities

The paper concerns with novel first-order methods for monotone variational inequalities. They use a very simple linesearch procedure that takes into account a local information of the operator. Also, the methods do not require Lipschitz continuity of the operator and the linesearch procedure uses only values of the operator. Moreover, when the operator is affine our linesearch becomes very simple, namely, it needs only simple vector–vector operations. For all our methods, we establish the ergodic convergence rate. In addition, we modify one of the proposed methods for the case of a composite minimization. Preliminary results from numerical experiments are quite promising.     

A smoothing inexact Newton method for variational inequality problems

In this paper, we reformulate the variational inequality problem as an equivalent smooth non-linear equation system by introducing the Chen–Harker–Kanzow–Smale smoothing function. A new smoothing inexact Newton algorithm is proposed to solve the smooth equations. In each iteration, the corresponding linear system is solved approximately. We prove that the proposed algorithm converges globally and superlinearly under mild conditions. Preliminary numerical results indicate that the method is effective.     

A 3D multi-grid algorithm for the Chan–Vese model of variational image segmentation

Variational segmentation models provide effective tools for image processing applications. Although existing models are continually refined to increase their capabilities, solution of such models is often a slow process, since fast methods are not immediately applicable to nonlinear problems. This paper presents an efficient multi-grid algorithm for solving the Chan–Vese model in three dimensions, generalizing our previous work on the topic in two dimensions, but this direct generalized method is low performance or unfeasible. So here, we first present two general smoothers for a nonlinear multi-grid method and then give our three new adaptive smoothers which can choose optimal a parameter of the smoothers automatically, also we analyse them using a local Fourier analysis and our theorem to inform how to obtain an optimal parameter and the best smoother selection. Finally, various advantages of our recommended algorithm are illustrated, using both synthetic and real images.     

基于AutoCAD VBA的方圆接头建模与展开

针对方圆接头三维软件建模精度不高、建模过程较复杂以及展开图形不能自动进行标注等问题,介绍了一种基于AutoCAD VBA技术的方圆接头钣金件的三维建模与展开技术。运行结果表明,所述方法建模准确可靠,实现了展开图的自动绘制与标注自动化。     

The effects of government subsidies on decentralised reverse supply chains

This paper examines the impacts of exogenous government subsidies on recycled material flows in decentralised reverse supply chains where players behave according to their own interests. We present a four-tiered network equilibrium model consisting of the sources of electronic scrap products and the collectors, processors and demand markets. We mathematically transform the players’ optimality conditions governing players’ behaviours into a variational inequality formulation. We investigate the impact of alternate schemes of government subsidies on the equilibrium amount, subsidy effectiveness and subsidy elasticity. The real-world case study shows that subsidising the tier of processors demonstrates the superiority of the investigated performance measures.     

基于图像局部结构的区域匹配变分光流算法

针对变分光流算法的计算精度与鲁棒性问题,提出一种基于图像局部结构的区域匹配变分光流算法.光流估计能量泛函的数据项采用图像结构守恒与灰度守恒相结合,并引入规则化非平方惩罚函数,保证了光流估计的精度与鲁棒性;平滑项采用随图像局部结构自适应变化的扩散策略结合区域匹配约束函数能够有效地保护运动物体或场景的边缘轮廓信息;在光流计算过程中引入金字塔分层细化策略克服图像序列中大位移运动引起的像素点漂移现象,并采用数学方法证明光流估计模型的鲁棒性和收敛性.多组实验表明,本文方法在图像中存在剧烈光照变化、非刚性物体复杂运动以及多目标大位移运动等情况下具有较高的计算精度、较好的鲁棒性.     

Modeling of single-lap composite adhesive joints under mechanical and thermal loads

Two-dimensional (plane-stress and plane-strain) theoretical models are presented for stress analysis of adhesively bonded single-lap composite joints subjected to either thermal or mechanical loading or a combination thereof. The joints consist of similar/dissimilar orthotropic or isotropic adherends and an isotropic adhesive interlayer. The governing differential equation of the problem is obtained using a variational method which minimizes the complementary strain energy in the bonded assembly. In this formulation, through-thickness variation of shear and peel stresses in the interlayer is considered. Both shear and normal traction-free boundary conditions are exactly satisfied. Peel and shear stresses obtained from plane-strain analytical models considering a homogeneous adhesive interlayer are in close agreement with those of the finite element predictions. A systematic parametric study is also conducted to identify an ideal set of geometric and material parameters for the optimal design of single-lap composite joints.     

基于VMD与Hilbert谱的旋转机械碰摩故障诊断方法

为了有效地诊断旋转机械中的碰摩故障,提出了基于变分模态分解(variational mode decomposition,简称VMD)与Hilbert谱分析的故障诊断方法。首先,利用VMD将碰摩故障信号自适应地分解为若干个不同频率段的本征模态函数(intrinsic mode function,简称IMF),并与集合经验模态分解(ensemble empirical mode dcomposition,简称EEMD)的处理结果进行对比分析;然后,在VMD分解的基础上,利用Hilbert谱对故障信号的时频特性进行分析。实验结果表明:与传统的频谱分析相比,该方法不但可以准确反映故障信号的频率成分,而且可以反映频率随时间的变化情况;与EEMD相比,该方法可以有效抑制模态混叠,更加准确地反映故障信息,从而验证了该方法的可行性与有效性。     

基于VMD-HHT边际谱的水工结构损伤诊断

为了准确识别水工结构的损伤,提出一种变分模态分解(variational mode decomposition,简称VMD)和Hilbert-Huang变换(Hilbert-Huang transform,简称HHT)边际谱相结合的水工结构损伤诊断方法。首先,采用联合的小波阈值和经验模态分解(empirical mode decomposition,简称EMD)降噪方法对原始信号进行降噪,减小环境噪声对结构损伤特征信息的干扰;其次,运用方差贡献率数据融合算法对降噪后各测点信号进行动态融合,提取结构完整的振动特性信息;然后,采用VMD方法将动态融合信号分解为一系列固态模量(intrinsic mode function,简称IMF),对各IMF分量进行Hilbert变换,求出融合信号的边际谱;最后,在VMD边际谱的基础上提取一种新的损伤特征向量-损伤灵敏指数,将其与马氏距离相结合对水工结构的损伤类型进行分类,并将该方法应用于悬臂梁模型试验。结果表明:该方法能够有效提取水工结构的损伤特性,准确识别水工结构的损伤和运行状态,为水工结构的安全运行提供了基础。     

红外图像的变分增强算法

提出了一种基于全变差和对比度的红外图像变分增强方法.针对红外图像噪声较大的特点,在现有变分增强算法的基础上,构造目标梯度场时,事先考虑了对噪声的限幅,防止不必要的噪声放大.另外,构造目标函数时加入了图像的全变差(TV)约束,使得噪声进一步得到抑制.直方图类算法会对灰度邻近、分布较少的灰度阶进行合并,从而丢失一些有用细节.本算法不会出现直方图算法的类似问题.实验表明本算法相对于常见的直方图处理算法,可以更有效增强红外图像.