Regularities of formation and lattice distortion of perovskite-type compounds

Based on 489 known perovskite-type complex oxides and a number of other type complex oxides, the pattern recognition-atomic parameter method is adopted to find regularities of the formation and the lattice distortion of the perovskite structure. It has been found that the restriction on Goldschmidt's t factor constitutes only a necessary but not a sufficient condition to form perovskite-type compounds. A more effective mathematical model, which can precisely sum up the regularities of the formation, the lattice distortion,and the cell constants of known perovskite-type compounds and reliably make corresponding predictions on unknown compounds, can be set up by integrating multiple atomic parameters such as ionic radii, ionic valency, and Basanov's electronegativity of constituent elements. Based on it, an intelligent database has been implemented. Its prediction accuracy is tested by eight newly discovered perovskite-type compounds such as Eu(Mn0.5 Ni0.5)O3, etc. (they are not included in the database during the test). The prediction resuits are in agreement with experimental facts.     

Geometric integration methods for general nonlinear dynamic equation based on Magnus and Fer expansions

Ithasbeenknownforalongtimethatthesolu tionofthefollowingdifferentialequation :U· =A(t)U ,　U(t0 ) =I ,(1)whereA (t)standsforasufficientlysmoothn×nmatrixorlinearoperator ,canlocallybewrittenintheform[1]U(t ,t0 ) =eΩ(t,t0 ) ,(2 )whereΩisobtainedasaninfiniteseriesΩ(t ,t0 ) =∑∞k =1Ωk(t,t0 ) . (3)Eqs .(2 )and (3)constitutetheso calledMagnusex pansionofthesolutionofthedifferentialequation(1) .EachtermΩkintheseries (3)isamultiplein tegralofcombinationsofnestedcommutators ,anditcanbeobtain…     

Approximation of NURBS Curves and Surfaces Using Adaptive Equidistant Parameterlzatlons

Non-uniform rational B-spline (NURBS) curves and surfaces are very important tools for modelling curves and surfaces. Several important details, such as the choice of the sample points, of the parameterization, and of the termination condition, are however not well described. These details have a great influence on the performance of the approximation algorithm, both in terms of quality as well as time and space usage. This paper described how to sample points, examining two standard parameterizations: equidistant and chordal. A new and local parameterization, namely an adaptive equidistant model, was proposed, which enhances the equidistant model, Localization can also be used to enhance the chordal parameterizatfon, For NURBS surfaces, one must choose which direction will be approximated first and must pay special attention to surfaces of degree 1 which have to be handled as a special case.     

基于独立分量分析特征提取的故障诊断系统

针对矿山破碎机的声音故障诊断受复杂现场环境制约、确诊率低的难题, 结合独立分量分析(ICA)在自然图像和连续语音信号中特征提取的方法,采用两层ICA分别用于从混杂声音中提取各采集通道(部位)的统计独立声音信号和进一步提取该信号的特征基.训练阶段生成的特征基系数序列用来生成矢量量化(VQ)的码书,设计出ICA-VQ破碎机故障诊断系统.现场采集数据的实验中系统的故障诊断准确率达到96.8%,表明系统的高效性.     

基于虚拟标定场的数码相机内参数标定方法

建筑物表面纹理数据获取与真实纹理映射一直是数字城市亟待解决的难点问题,也是真实感图形学研究的重点内容。结合相机成像理论,提出一种基于虚拟标定场的数码相机标定方法,通过一组图像构建虚拟标定场,解算数码相机内部参数,快速自动纠正图像畸变,为实现真实纹理映射奠定基础。并对该方法获得的标定参数进行了实验,证明满足纹理映射的要求。     

Ability to detect weak effective seismic signals by utilizing chaotic vibrator system

Taking the advantage of CVS (Chaotic Vibrator System) sensitivity of large-scale periodic phase-state response to quasi-periodic or periodic signals,a series of numerical experiments were made to understand the ability of CVS to detect weak effective seismic signals in the common-shot seismic record distorted by strong stochastic noise. The re-sults demonstrate that the large-scale periodic phase-states of CVS are correlated with the signal composition of the quasi-periodic wavelet sequence constructing from horizontal moveout of seismic events,noise strength and the noise distortion de-gree to signal. For the same kind of events,the higher the noise distortion degree is,the lower the detectable SNR can be reached by CVS. For seismic data with the same noise distortion degree,the closer the scanning seismic velocity (the trial moveout ve-locity) approaches to the accurate velocity,the higher the detectable SNR can be reached by CVS. More-over,the truncating scanning velocities form an asymmetric belt,which indirectly makes CVS achieve a large-scale periodic phase-state and then the ratio of wavelet distortion coefficients in events can be a biggish variable scope.     

亚式期权与欧式期权的实证比较

讨论了用欧式看涨期权和连续情形下的几何平均亚式期权中的看涨期权进行投资时收益和风险之间的关系。从上海和深圳证券交易所随机选取10只股票收盘价的数据进行实证分析,得出采用几何平均亚式期权进行投资比采用欧式期权进行投资风险更小,这与几何平均亚式期权的设计是相符的。     

基于颜色和形状的道路交通标志检测

提出了一种基于颜色分割和形状分析的交通标志检测方法.首先利用改进后的简单向量滤波器分割感兴趣色彩区域,对不同色彩区域进行相应形状检测.采用拐角特征与几何结构分析相结合的方法检测矩形与三角形标志,提出了一种基于对称性特征的简单编码算法,并应用于圆形检测.实验结果表明,该方法能在多种复杂场景中有效地定位交通标志,对天气变化有一定鲁棒性,为后继的交通标志识别工作奠定了良好基础.     

拟线性双曲方程的两种Blowup机制

对于一般的初值，拟线性双曲方程不一定存在整体经典解，若不存在整体经典解，则解在有限时间内blowup。主要考虑几种特殊的Burgers方程，讨论其经典解的存在区间以及解发生blowup时，几何blowup与常微blowup之间的先后顺序。     

转换桥的几何模型

针对两个系统之间的狭义转换桥在欧氏空间的实现问题，利用数学建模方法讨论了空间中左和右、上和下、内和外的转换问题，同时构造了转换桥理论中转换桥的两类三种几何模型．并讨论了单向桥的串与并几何模型和循环桥的串与并几何模型．