加气混凝土断裂能的测定及其分形几何的分析

根根RILEM推荐的带缺口的棱柱体试件劈裂的方法,测定了加气混凝土的断裂能,并计算了其比断裂能;测定断裂能的同时,也测定了裂纹过程区。分形几何理论计算的比断裂能,与实测值相一致。     

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岩心分析过程中的取心间隔并非完全相同，这就形成了非等间距的岩心分析数据。测井曲线的数据一般都是采样等间距的，为了使岩心数据与测井数据更好地进行匹配，对岩心分析数据进行插值处理，使分析数据形成等距的形式，然后对插值后的数据根据不同的测井曲线进行滤波，使得岩心分析数据与测井数据的分辨率相匹配，利用处理后的数据建立模型或数据分析才可得到较为准确的模型。克里金插值和分形插值均为非线性的数学插值方法，它们与一般的数学插值方法相比较，能更好地反映数据的内在分布规律。文中分别利用克里金插值和分形插值的理论对岩心数据的插值进行了深入的研究，根据两种插值方法的理论建立了相应的插值方法。经过对两种插值理论的实例对比分析，得到了两种非线性插值方法的优缺点，为进一步的深入研究奠定了一定基础。     

Speed-up fractal image compression with a fuzzy classifier

This paper presents a fractal image compression scheme incorporated with a fuzzy classifier that is optimized by a genetic algorithm. The fractal image compression scheme requires to find matching range blocks to domain blocks from all the possible division of an image into subblocks. With suitable classification of the subblocks by a fuzzy classifier we can reduce the search time for this matching process so as to speedup the encoding process in the scheme. Implementation results show that by introducing three image classes and using fuzzy classifier optimized by a genetic algorithm the encoding process can be speedup by about 40% of an unclassified encoding system.     

一种基于小波变换与分形编码的新闻图片检索方法*

该方法使用户可以针对不同需要,准确高效地检索到所需的信息,并可根据需要确定所提取的信息数量。对图片进行小波变换,并分形编码,从而实现对图像特征的模糊分级检索,以完成对图片信息的高效管理。     

Employing fractals and FEM for detailed variation analysis of non-rigid assemblies

Many studies on non-rigid assemblies, or assemblies of non-rigid components, suggest that the component variation affects the assembly dimensional quality. However, little is known about how the variation of surface micro-geometry of assembly components influences the assembly dimensional quality. In this paper, a new method based on the fractal geometry and finite element method (FEM) is proposed to study such an influence. In the new method, a special fractal function, named the Weierstrass–Mandelbrot (W–M) function, is used to extract and represent the characteristics of surface micro-geometry of assembly components. FEM is applied to analyze the deformation of non-rigid assemblies by integrating the variation of component micro-geometry. The sensitivity matrix between the component variation and assembly variation is obtained by using the existing influence coefficients method. It is found that contributions of the surface micro-geometry of assembly components to the final variation of non-rigid assemblies could be substantial under certain conditions. The proposed method is illustrated through a case study on an assembly of two flat sheet metal components under different fixture-releasing conditions.     

一种基于点集拓扑分形变幻的云计算登录认证方法

考虑到云服务登录安全性及便捷性的需求,针对单点登录认证模式,提出云计算的统一登录认证方法,并采用点集拓扑分形变幻方法生成随机密钥,提高登录认证的安全等级。首先对云计算登录认证系统结构进行分析,然后以网络公共数据库中的指纹图像为例,进行分形变幻环运算,生成伪随机序列,再将这些序列加密并通过UDP发送给服务器端进行认证,最后进行实例仿真。     

Influence of initial chain conformation on the formation of mesoglobule phase in a dilute heteropolymer solution

We have observed, for the first time, that when the initial chain conformation changed from coil to globule, the association of linear poly(N-vinylcaprolactam-co-sodium acrylate) chains could gradually change from a reaction limited to diffusion limited process, reflected in a change of the fractal dimension of the resultant aggregates from ∼2.5 to ∼1.6. Such an influence of the initial chain conformation has been overlooked in past studies of the formation of the mesoglobule phase in a dilute heteropolymer solution.     

Radial density distribution of fractal clusters

The radial density distributions of fractal clusters generated in both DLCA and RLCA conditions by Monte-Carlo off-lattice cluster-cluster aggregation have been investigated. It has been computed by averaging a large number of clusters of same mass to form an average cluster, which is then considered as spherically symmetric. It is found that the radial density distribution, calculated using the mass center of the cluster as the center point, does not follow the fractal scaling, as sometimes assumed in the literature. An empirical model has been proposed to describe the dependence of the radial density distribution on the number of particles in the cluster. The obtained radial density distribution is used to compute permeability profile of the fractal cluster using several literature models, which is then applied to estimate the cluster hydrodynamic radius, R_h, by considering the cluster as a porous permeable object and using the solution of Brinkman equations for the fluid flow inside the cluster. The so obtained R_h values are compared to those in the literature, computed using the Kirkwood-Riseman (KR) theory. It has been found that, among the five permeability models examined, only the model proposed by Davis (Proceedings of the Institution of Mechanical Engineers Part B 1, 185) provides results in good agreement with those obtained using the KR model. Furthermore, it has been verified that the R_h values are insensitive to the model used for the density distribution.     

Probabilistic pseudo-morphology for grayscale and color images

Mathematical morphology offers popular image processing tools, successfully used for binary and grayscale images. Recently, its extension to color images has become of interest and several approaches were proposed. Due to various issues arising from the vectorial nature of the data, none of them imposed as a generally valid solution. We propose a probabilistic pseudo-morphological approach, by estimating two pseudo-extrema based on Chebyshev inequality. The framework embeds a parameter which allows controlling the linear versus non-linear behavior of the probabilistic pseudo-morphological operators. We compare our approach for grayscale images with the classical morphology and we emphasize the impact of this parameter on the results. Then, we extend the approach to color images, using principal component analysis. As validation criteria, we use the estimation of the color fractal dimension, color textured image segmentation and color texture classification. Furthermore, we compare our proposed method against two widely used approaches, one morphological and one pseudo-morphological.