基于四叉树的自适应门限分形图象IFS压缩方法

为了克服四叉树分块ＩＦＳ编码过程中,排列块与区域块的匹配误差不考虑输入图象特点这一缺点,提出了一种新的基于迭代函数系统（ＩＦＳ）进行静止灰度图象压缩的方法。该方法是根据当前排列块的方差来确定它与区域块的匹配门限。经分析证明,这种基于自适应门限的ＩＦＳ编码方法与人类视觉系统的特性基本相符,而且实验也证明,这一自适应门限的编码方法提高了ＩＦＳ图象压缩的适应性。     

中点偏移算法构建分形山的病态值分析及解决

本文在对大量数据进行检验的基础上,对建分形山的中点偏移算法及其参数进行了分析,并发现病态值的出现,经分析后,提出解决方案。     

图像分形维数计算技术

在分形科学的研究中,分形维数的求取方法一直是人们所关注的,本文基于目前常见的图像分形维数的求取方法,对各种方法的计算量,适用范围进行分析和比较,给出推荐模型。     

The normal of a fractal surface

  We have discovered a class of fractal functions that are differentiable. Fractal interpolation functions have been used for over a decade to generate rough functions passing through a set of given points. The integral of a fractal interpolation function remains a fractal interpolation function, and this new fractal interpolation function is differentiable. Tensor products of pairs of these fractal functions form fractal surfaces with a well-defined tangent plane. We use this surface normal to shade fractal surfaces, and demonstrate its use with renderings of fractal mirrors.     

Structure of Crack in Thermally Dried Sludge Cake

We examined in this work the drying characteristics of wastewater sludge, considering the weight loss using an electronic balance and the morphology change of drying cake by an X-ray micro-computerized tomography scanner (micro-CT). The drying rates for sludge cake was 50-60% of the pure water test. The corresponding micro-CT images were scanned to explore the change in cake volume and development of internal crack over drying. The Otsu's method was applied to bilevel the scanned images, based on which the three-dimensional model for crack's internal structure was reconstructed. The cake porosity and the geometric factors of cracks, such as the compactness, the boundary fractal dimension, and the Sierpinski carpet fractal dimension, were evaluated. The shrinkage of cake volume and the development of internal crack occurred simultaneously. The skin layer formed by the former mechanism retards further drying. On the other hand, the internal cracks were shown to exhibit zigzagging with a noncircular cross section and fractal-like boundary, which should be able to enhance local drying. A possible role of change in crack structure on the rate of drying was discussed.     

流固催化反应中的分形几何对称模型及其应用前景

分形学自问世以来，以成为近代科学中一个十分重要的分支，由于计算机的普及和发展，使得分形学如虎添翼，其正在社会的各个领域中发挥越来越重要的作用，分形几何对称模型是基于分形学方法研究单颗粒化学反应工程的一个重要方面，借助于计算机将可得到很多新结果，这会加深人们对扩散催化反应知识的了解和认识。     

Fractal analysis of pressure fluctuations in a three phase bubble column reactor operating at low pressure

Pressure fluctuations in a three phase bubble column reactor operating at relatively low pressure (92 KPa) have been analyzed by adopting the spectral and fractal analyses to get the engineering informations for the on-line control and fault diagnosis of the reactors. The mean value, standard deviation, skewness and kurtosis of the pressure fluctuations have been obtained. The local fractal dimension has been determined from the Pox diagram obtained by means of the rescaled range analysis of the pressure fluctuations based on the fractional Brownian motion. The local fractal dimension of pressure fluctuations has increased and thus the pressure fluctuation signals have become less persistent and irregular, with increases in the gas flow rate reaction temperature, particle size and solid content in the slurry phase. The local fractal dimension has been well correlated in terms of the operating variables.     

Fatigue cracks nucleation on steel, acoustic emission and fractal analysis

In this paper, a new acoustic emission (AE) diagnostic technique, for the study of fatigue cracks nucleation and propagation on steel, was investigated. Using the fractal analysis, and the box-counting method (BCM) in particular, it is possible to characterize the spatial distribution of the prime AE sources through the fractal dimension (D) that evolve with the number of fatigue cycles (N) of the specimen. D–N curves were found useful to identify the condition of incipient collapse due to the nucleation and propagation of fatigue cracks on steel. It is possible to use the fractal dimension as a damage parameter. In all tested specimens, the crisis occurs within the same range of values of fractal dimension. The results suggest that it is possible to anticipate the detection of crack beginning relating to the other theoretical or experimental techniques.     

一类全不连通分形图的构造

为构造一类全不连通的分形图 ,利用了适当的类康托集 ,将某一迭代函数系统升腾为高维空间上的升腾迭代函数系统 ,并通过参数调整构造出大量造型上全不连通的分形图 ,同时发现了类康托集的结构和分形图的结构之间的变化关系 ,实验结果表明 ,该方法简单易用 .     

基于分形特征的细胞核表面纹理分析

提出了一种改进的基于分块迭代函数系统的分形维估计方法,对骨髓涂片中不同成熟阶段的粒细胞核表面的纹理进行了研究.该方法首先通过压缩仿射变换对细胞核灰度图象进行分块迭代函数系统构建,然后从该系统中提取出反映细胞核分形特征的匹配块因子、尺度系数等参数用于计算分形维.为了避免对细胞核表面分形维的过高估计,就匹配块因子、尺度系数的计算进行了改进.对60幅不同类型的粒细胞核表面图象进行比较实验,其结果表明该方法提取的分形参数可有效地反映不同细胞核表面间的纹理差异,它们可作为细胞识别中的新特征量.