Complex potentials and singular integral equation for curve crack problem in antiplane elasticity

Four types of the fundamental complex potential in antiplane elasticity are introduced: (a) a point dislocation, (b) a concentrated force, (c) a dislocation doublet and (d) a concentrated force doublet. It is proven that if the axis of the concentrated force doublet is perpendicular to the direction of the dislocation doublet, the relevant complex potentials are equivalent. Using the obtained complex potentials, a singular integral equation for the curve crack problem is introduced. Some particular features of the obtained singular integral equation are discussed, and numerical solutions and examples are given.

Numerical estimate of the stability curve for the flow past a rotating cylinder

It is demonstrated that the primary instability of the wake of a two-dimensional circular cylinder rotating with constant angular velocity can be qualitatively well described by the Landau equation. The coefficients of the Landau equation are determined by means of numerical simulations for the Navier-Stokes equations. The critical Reynolds numbers, which depend on the angular velocity of the cylinder, are evaluated correctly by linear regression. (C) 2004 American Institute of Physics.

Curvature Correction of FWHM in the X-Ray Rocking Curve of Bent Heteroepitaxial Films

A method for accurate determination of the curvature radius of semiconductor thin films is proposed. The curvature-induced broadening of the x-ray rocking curve (XRC) of a heteroepitaxially grown layer can be determined if the dependence of the full width at half maximum (FWHM) of XRC is measured as a function of the width of incident x-ray beam. It is found that the curvature radii of two GaN films grown on a sapphire wafer are different when they are grown under similar MOCVD conditions but have different values of layer thickness. At the same time, the dislocation-induced broadening of XRC and thus the dislocation density of the epitaxial film can be well calculated after the curvature correction.

基于Gabor小波的着色及纹理合成算法

着色和纹理合成是图形图像中的两类基本研究课题。前者需根据用户定义的彩色笔触信息，自动对黑白照片、电影或者漫画染上颜色；后者则需根据用户输入的样本纹理，经计算得出与样本纹理视觉上近似的结果纹理。这两类课题都有广泛的应用背景。如着色常常用于给经典的黑白电影或者照片自动上色，解决现在的染色工序中存在的需要大量人工交互的难题；而纹理合成常用于电影和电子游戏的地形地貌、织物、头发等等纹理的自动生成。 这两大类问题都需要分析纹理特征，并且依赖于分析结果的准确性。Gabor小波滤波器与人眼的视觉感受野相当吻合，用它来分析纹理得到的结果比较精确。鉴于此，本文把Gabor小波应用到了着色问题和纹理合成中。对于着色问题，本文用基于Gabor小波的特征向量重新定义邻居关系，然后用最优化方法迭代地对照片和卡通染色。相比以往的算法，本算法具有用户交互少、效果好、算法简单稳健的优点，并且算法允许用户逐步地添加色彩细节。对于纹理合成，本文用基于Gabor小波的特征向量来预计算K-Coherence候选集，提高了K-Coherence算法的准确性，从而改进了纹理合成的最终效果。 本文提出的算法是天然并行的，因而可利用GPU加速，做到实时计算。

基于Gabor小波特征确认多媒体消息数字水印版权标识

为解决基于数字水印的无线多媒体消息版权管理系统对提取后水印标识的自动识别问题,在充分考虑多媒体消息在传播中可能遭受攻击的基础上,提出一种基于Gabor小波特征的标识确认方案.该方案利用这类小波函数确定的滤波器适合局部分析和多方向多尺度分析的特点,提取与水印版权标识结构信息相关的统计量,形成特征集向量,通过特征集的距离比较,在小尺寸水印质量退化情况下,实现了对水印标识的识别.分析和实验表明,该方案能够满足无线多媒体消息版权管理的需求,并且在文中分析的情况下,设备的自动识别精度可以达到95%以上,较好地支持了对无线多媒体消息的版权管理.

基于Gabor小波的渐进式着色算法

为了解决黑白图像自动染色的难题,提出了一种基于Gabor小波的渐进式着色算法。该算法首先使用Gabor小波对黑白图像的纹理特征进行分析,在此基础上,根据纹理特征差异重新定义像素的邻居关系,最后利用最优化方法对染色问题进行迭代求解。该算法主要的创新点是交互操作少,并允许用户逐步添加色彩细节。同时该算法还是天然并行的,能够利用图形处理器(GPU)进行实时计算。为该算法和当今流行的着色算法做了效果对比,并且进行了效率分析,实验结果表明了该算法的可用性和效率。

Environmental Kuznets Curve for SO_2 Emissions in China

This study examines the link between the economic growth and the environmental quality. Based on a panel data set, a N-shaped Environmental Kuzents Curve has been found for the sample period: a cubic relationship between per capita GDP and emissions of sulphur dioxide (SO2). We also find that energy consumption is an important determinant of environmental degradation. The empirical results suggest that we should promote environmental protection as soon as possible.