二维参数化图形技术研究进展

近几年来，参数化图形技术得到了不断的发展。目前已有多种参数化图形方法及系统。这些参数化图形方法可分为３种，即变分几何法、几何推理法和过程法。主要介绍这３种方法的研究进展。     

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.     

非均匀卵砾石粗糙床面的分形特征

针对传统方法刻画粗糙床面总体特征存在缺陷的问题,将分形几何理论引入非均匀卵砾石粗糙床面特征研究,以卵砾石床面激光扫描试验资料为基础,探讨了分形尺度区宽度与中值粒径d50的关系,分析了覆盖基准面对分形维数的影响,研究了床面整体与局部分形维数的特征与联系,获得了分形维数随床面颗粒组成及高程统计参数的变化规律。结果表明:分形尺度区宽度与床面颗粒中值粒径d50有关,上临界尺度可取为1.5d50;分形维数与覆盖基准面位置有关,覆盖基准面距平均床面的距离越大,分形维数越大且逐渐失真,为有效量化和区分床面粗糙特征,覆盖基准面宜取平均床面;粗糙床面分形维数具有良好的稳定性,局部分形维数变异性很小,并与整体分形维数接近;粗糙床面的分形维数与颗粒大小、级配组成及床面高程统计参数有关,中值粒径越大,颗粒组成越均匀,床面高程极差、标准差、偏度(绝对值)和峰度越大,分形维数越小。     

伴有生物质热解的流化床中的混沌传递现象

Experiments of biomass pyrolysis were carried out in a fiuidized bed, and dynamic signals of pressure and temperature were recorded. Correlation dimension was employed to characterize the chaotic behavior of pressure and temperature signals. Both pressure and temperature signals exhibit chaotic behavior, and the chaotic behavior of temperature signals is always weaker than that of pressure signals. Chaos transfer theory was advanced to explain the above phenomena. The discussion on the algorithm of the correlation dimension shows that the distance definition based on rhombic neighborhood is a better choice than the traditional one based on spherical neighborhood. The former provides a satisfactory result in a much shorter time.     

分形在陶瓷微观结构中的应用

分形作为一种数学方法 ,其应用范围日益扩大 ,已经逐渐渗入各学科领域。本文简要介绍了分形的概念以及它在陶瓷微观结构中的应用情况 ,重点介绍了位错、晶粒度、晶界的分形     

基于非线性关联维特征提取的机械自动化监测系统

提取天然气压缩机故障状态下振动信号的故障特征是设计机械自动化检测系统的核心技术。提出一种基于非线性关联维特征提取的机械自动化监测系统设计方法,在故障诊断原理基础上,进行故障振动信号时间序列分析,设计故障振动信号相空间重构方法,改进了相空间重构最佳时延和嵌入维数参数计算的关键技术,通过提取关联维故障特征,在Simulink平台上设计了自动化监测系统。系统实验结果表明,该算法和系统能使各类故障状态下提取的关联维特征的标准差显著性降低,特征分布聚类能力明显提高,系统能有效检测各类故障,实现了机械设备的自动化监测,在自动化故障诊断仪表设计等领域具有较好的工程实践价值。     

水利普查成果分析中数据立方体计算研究

n维的立方体将生成2n个聚集立方体.如何进行立方体计算,在存储空间和查询时间方面寻求平衡,成为多维分析应用中的关键问题.基于部分物化的策略,并结合水利普查数据特征,改进Minimal cubing方法,提出了层次维编码片段方法HDEF cubing.该方法利用编码长度较小的层次维编码及其前缀,快速检索出与查询关键字相匹配的层次维编码,减少了多表连接操作,从而提高查询效率.以水利普查数据为例,验证了改进的立方体计算方法能高效地对立方体进行存储和查询,适用于水利普查成果分析.     

OLAP中文本文件建模

在联机分析处理中,由于传统的模型无法对文本文件进行建模,因此提出了基于维概念的星系模型。该模型删除了事实的概念,消除了只能把事实作为分析主题的限制,令联机分析更加自由;而且引入了联系的概念,实现了对文本文件中的超链接进行建模。通过两种方法可以把星型模型中的事实转换成星系模型中的维,实现了星系模型与其他模型之间的转换。     

混凝土底板温度及温度应力影响参数分析

借助参数化设计语言(APDL)分析了水泥品种及标号、结构尺寸、外界约束对混凝土底板温度及温度应力的影响.结果表明:与普通硅酸盐水泥525相比,普通硅酸盐水泥425、矿渣水泥425可使底板最大拉应力分别减低约21%、37%;底板平面尺寸增大,压应力几乎保持不变,拉应力增大,发展较为平缓;底板厚度越大,出现最高温度的龄期越晚,底板降温时持续高温时间更长,且温度应力随厚度增大而增大.     

Chaotic characteristics of electromagnetic emission signals during deformation and fracture of coal

Electromagnetic emission (EME) is a kind of physical phenomenon accompanying the process of deformation and frac-ture of loaded coal and rock and it is of importance in quantitatively analyzing its characteristics. This will reveal the process of deformation and fracture of coal and predicting dynamic disasters in coal mines. In this study, the G-P (Grassberger and Procaccia) algorithm, calculation steps of the (if only 1 dimension) correlation dimension of time series and the identification standards of chaotic signals are introduced. Furthermore, the correlation dimensions of EME and the acoustic emission (AE) signals of time series during deformation and fracture of coal bodies are calculated and analyzed. The results show that the time series of pulses number of EME and the time series of AE count rate are chaotic and that the saturation embedding dimensions of a K3 coal sample are, respectively, 5 and 6. The results can be used to provide basic parameters for predicting of EME and AE time series.