基于小波变换的Wiener滤波算法去除苹果图像噪声

在小波变换的基础上，提出了一种基于小波变换的Wiener滤波去噪方法。采用该方法对苹果图像的加性噪声（高斯白噪声）去噪，结果PSNR为184．94，视觉效果清晰（而含噪声图像的PSNR为158．23，噪声太多不清晰）。好于邻域平均法（PSNR为174．15，视觉上含部分噪声）、中值滤波法（PSNR为182．4Z）、小波阔值去噪（PSNR为171．59，视觉上也含部分噪声）和Wiener滤波去噪法（PSNR为173．65）的去噪结果，更好于数学形态学的去噪结果（PSNR为150．46，视觉上含较多噪声）。试验结果表明，基于小波变换的Wiener滤波方法对苹果图像加性噪声的去噪效果具有信噪比高、视觉效果好等优点。     

GVF Snake模型在木材表面缺陷分割的应用研究

针对木材表面存在纹理、凹凸结构、边缘颗粒和弱边缘等特点,对其直接运用Snake模型进行分割难以得到有效边缘提取,因此提出运用改进的GVF Snake模型和维纳滤波相结合对其进行分割。首先对木材图像进行维纳滤波使得纹理变得平缓,同时可以使得缺陷边缘得到有效保留,再对其进行GVF Snake模型分割。该算法对初始轮廓的选择敏感度降低,拓展性增强,可以使得轮廓曲线更加快速地收敛到缺陷边缘,避免陷入局部最优现象,提高对弱边缘和凹凸图像分割效果,分割结果更加清晰、连贯,具有良好的实时性。为木材表面缺陷的分割提供一种更为有效的方法,拓宽了snake模型的应用范围。     

在加法扰动下的广义Kuramoto-Sivashinsky方程的随机吸引子

主要说明随机的广义Kuramoto-Sivashinsky方程的唯一解生成一个随机动力系统,这个系统在L^2（I）中有一个紧的随机吸引子．     

带有可乘白噪音的广义G i n z b u r g - L a n d a u方程的随机吸引子

主要证明随机的广义Ginzburg-Landau方程的解生成一个随机动力系统,该动力系统在L2中存在紧的随机吸引子.     

含加法扰动的Boussinesq方程

研究含加法扰动的Boussinesq方程的全局解的存在唯一性以及解的正则性.     

Herb-layer diversity in deciduous forests: Raised by tree richness or beaten by beech?

Where natural production capacity permits, modern silvicultural management in Central Europe frequently aims at the development of mixed broadleaved stands, instead of pure European beech (Fagus sylvatica) stands. It is crucial to study the effects of these tree-layer diversity variations on herb-layer vegetation, since herb-layer vegetation contributes significantly to ecosystem functioning in forests. In Hainich National Park (Thuringia, Germany), we conducted observational research in deciduous stands to investigate whether herb-layer diversity was related to canopy-layer diversity, and to ascertain possible causal mechanisms. We found that herb-layer vegetation of deciduous forest stands rich in canopy species appeared to be more diverse than herb-layer vegetation of beech-dominated stands. We surmise that herbaceous understorey diversity was indirectly influenced by canopy tree species through the medium of the altered environmental factors soil pH and litter layer thickness. Apparently, lower beech proportion had a more profound effect than the number of secondary tree species. There were no correlations between herb-layer diversity and light transmissibility of the canopy layer, indicating that the light factor was not crucial for herb-layer diversity. At least for the Hainich research sites, our results indicated that small-scale light and soil heterogeneity is insignificant for herb-layer diversity. We found several herb-layer species whose occurrence was particularly correlated with tree-layer diversity and environmental factors. Remarkably, all species positively correlated with soil pH were important for the phytosociological classification of the research sites. Beech-dominated research sites showed high tree-layer volumes, whereas research sites with high tree-layer diversity tended to feature lower tree-layer volumes. These findings could be the result of differing former silvicultural systems and varying soil clay contents affecting tree species composition. In contrast, herb-layer biomass was positively correlated with tree-layer diversity. Herb-layer productivity might be promoted in more diverse research sites by increased nutrient supply and base saturation. It is also possible that greater beech proportion interfered with herb-layer productivity. However, herb-layer biomass was also positively correlated with herb-layer diversity. Hence, our study hints that positive diversity-functioning relationships might occur in the herb-layer of the deciduous forest under investigation.     

The effect of openings on combined bound water and water vapor diffusion in wood

This study was undertaken to estimate the effect of openings between cell walls on combined bound water and water vapor diffusion in wood. Using a newly developed model, the radial and tangential moisture diffusion coefficients can be predicted depending on the opening area. The new model explicitly involves a term for water vapor diffusion through the openings, as well as a term for the combined diffusion of bound water and water vapor. A classical model developed by Stamm and Choong had higher longitudinal moisture diffusion coefficients than that in the parallel model at higher moisture content, which is inconsistent with the Wiener bound rule. The new model suggested in this article is useful for analyzing the experimental results and understanding the variability of the diffusion coefficients.     

在加法扰动下的广义Kuramoto-Sivashinsky方程的随机吸引子

主要说明随机的广义Kuramoto-Sivashinsky方程的唯一解生成一个随机动力系统,这个系统在L2(I)中有一个紧的随机吸引子.     

含加法扰动的Boussinesq方程

研究含加法扰动的Boussinesq方程的全局解的存在唯一性以及解的正则性．     

带有色观测噪声解耦Wiener跟踪滤波器

对带有色观测噪声的离散线性系统，本文应用现代时间序列分析方法，基于ARMA新息模型，提出了一种解耦Wiener跟踪滤波新方法，仿真例子说明子本方法的有效性。