The Location Algorithm of QRS Waves Based on Fractal Box Dimensions Detection Methods

We research fractal characteristics of ECG signal, and find that it is logarithmic linear relationship between the boxes number covering signal and box scale. It is shown that ECG signal have some characteristics. Further more, we discover that fractal dimensions at QRS site are higher than others when using a time windows to detect signal. Based on this foundation, we raise a location algorithm of QRS waves which is based on fractal boxes dimension detection methods. The application results of this algorithm show that it can get rid of noise in ECG effectively with high speed, so this algorithm can be used in real time detection of ECG signal.     

黄金宝树树冠分形特征及枝系构型分析

以黄金宝幼树为研究对象，经过2a左右的生长观察，分析其树冠的分形维数及其枝系构型，采用主成分分析方法对9个枝系构型指标进行分析，结果表明，黄金宝树冠幅均值的分形维数为0.57，冠幅面积的分形维数为0.18，树冠体积的分形维数为0.21；该时期以高生长为主，各枝处于生长状态，但四级枝条较少，枝条由一级转化为二级的能力高于二级转化为三级和三级转化为四级。主成分分析结果还表明，第一主成分贡献率为40.37％，第二主成分贡献率为21.61％；通过第一和第二主成分分析体现了黄金宝树该阶段的2种生态适应机制，即冠幅、冠幅面积、冠幅体积和枝径均值均趋于增大，逐步分枝率3，4和枝条倾角则均趋于减小。     

驻极体对大肠杆菌的影响研究

为了有效防止空气中的大肠杆菌附着在食物等表面对人和动物造成腹泻等肠道疾病。以聚四氟乙烯制作的驻极体薄膜为试材,用控制变量法与理论分析和试验研究相结合的方法测得带负电和带正电的驻极体薄膜对大肠杆菌的影响数据。结果表明：带负电的驻极体薄膜对大肠杆菌的正常生长具有抑制作用,最高抑制率达到70.82%;带正电的驻极体薄膜促进了大肠杆菌的生长,最高促进率达到54.65%。进一步用光学显微镜观察到在带正电的驻极体薄膜下处理后的大肠杆菌菌落生长密集,带负电的驻极体薄膜处理后的菌落生长稀疏。驻极体薄膜对大肠杆菌生长造成影响的机制主要是静电场影响了大肠杆菌分子的膜电位,进而影响大肠杆菌的生长。带负电的驻极体薄膜对大肠杆菌具有良好的抑制作用,可为生产与驻极体灭菌有关的材料提供理论依据。     

Compressed Code of Fractal Image and Secure Communication with Chaos

Based on the fractal theory, using quarter tree in neighborhood method and Bang-Bang control method, the steady control of the chaotic in the secure communication is realized. A simulation circuit has been designed based on driving responding theory, then, its synchronization is simulated on the computer.     

A New Solution to Reduce Blocking Artifacts Introduced by Standard Fractal Methods

Fractal image coding techniques usually partition the input image into small range blocks. This artificially introduces boundaries into the image resulting in the unpleasant blocking artifacts in the decoded images especially at high compression rate. Because the effect is especially responsible for the restrictions of the block-based coders, the solutions must be sought to reduce this blockiness. Recently two possible schemes have been proposed by other researchers: One may try to use overlapping blocks in the fractal transform, and the other to employ the combined fractal wavelet approach. An alternative solution is proposed, which employs the bilinear interpolation techniques and the resolution independence of fractal coding, in the sense that an image can be decoded at higher or lower resolutions than the original. Experiments show that the proposed scheme can eliminate the blocking artifacts.     

区域经济系统的分形特征及模型研究

通过对区域经济系统模型的研究,确定了经济系统的分形特征,并通过实例建立投入与产出的数学模型,验证了其分形特征,利用分维确定了各投入与产出量的变化趋势,揭示了区域经济系统的复杂变化,为了解和指导区域经济发展提供了新的方法和依据。     

利用CT扫描技术确定土壤大孔隙分形维数

土壤大孔隙的大小、形状和分布对水及溶质在土壤中的运移有着深刻影响,由于土壤大孔隙的分布呈现分形规律,根据采用CT扫描法得到的原状土柱各断面图像,采用计盒维数法计算出各断面土壤大孔隙的分形维数。     

稻茬麦根系构型可视化与三向分型维研究

提出一种根系可视化分析方法用于定量稻茬田环境的小麦根系构型。使用根系构型数字化仪测试稻茬麦苗期根系构型,将所测数据导入Pro/E平台进行根系构型的3-D重构,然后对可视化根系进行3向平面投影,计算小麦根系在不同平面的分形维数与分形丰度。结果表明,该方法可以真实反映出田间稻茬麦根系构型的动态变化状况,而根系分形维数与分形丰度随时间逐步递增,正视图面的分形维数和分形丰度总大于左视图面。从播后第98天开始,俯视图面的根系构型分形维数与分形丰度出现突增。在3个投影面上稻茬麦根系的分形维数与分形丰度都高度相关,二者与根总长也存在一定的相关关系。     

基于分形视角的农村居民恩格尔系数变动趋势研究

恩格尔系数可以反映居民生活水平，也隐含着经济结构的信息。本文采用非线性定量分析工具——分形分析方法，通过各阶累计和将数据进行变换，建立变维分形模型，测算了1995～2008年我国农村居民恩格尔系数的变化趋势。研究表明，样本区间内农村居民恩格尔系数整体有降速放缓的趋势，前期降速显著，后期降速减缓；且依据模型测算显示未来5年内这种趋势将可能持续。最后，本文据此提出了简短的对策建议。