Spatial fluctuations in reaction-limited aggregation

A general method is used for describing reaction-diffusion systems, namely van Kampen's method of compounding moments, to study the spatial fluctuations in reaction-limited aggregation processes. The general formalism used here and in subsequent publications is developed. Then a particular model is considered that is of special interest, since it describes the occurrence of a phase transition (gelation). The corresponding rate constants for the reaction between two clusters of sizei and sizej areK _ij=ij (i, j=1, 2,). For thediffusion constants D _j of clusters of sizej the following class of models is considered:D _j=D if 1Js andD _j=0 ifj>s. The casess= ands< are studied separately. For the models= the equal-time and the two-time correlation functions are calculated; this modelbreaks down at the gel point. The breakdown is characterized by a divergence of the density fluctuations, and is caused by the large mobility of large clusters. For all models withs< the density fluctuations remain finite att _c, and the equal-time correlation functions in the pre- and in the post-gel stage are calculated. Many explicit and asymptotic results are given. From the exact solution the upper critical dimension in this gelling model isd _c=2.     

联机卡尔曼滤波光度法同时测定混合体系中5种合成食用色素

我国法定可使用的合成食用色素主要有5种。即苋菜红、胭脂红、柠檬黄、日落黄和亮蓝。根据调色需要,它们常被混合配置应用.目前一般采用高效液相色谱和层析分离法分析,但尚缺少可靠的同时测定此5组分的化学计量学方法,Loosbroek曾用卡尔曼滤波光度法鉴     

How electrons guard the space: shape optimization with probability distribution criteria

Efficient formulas for computing the probabilities of finding exactly electrons in an arbitrarily chosen volume ³ for Hartree–Fock wavefunctions are presented. These formulas allow the use of shape optimization techniques, such as level set methods, for optimizing with respect to various criteria involving such probabilities. The criterion defined as the difference between the Hartree–Fock and the independent-particle model probabilities of finding electrons in stresses the quantum effects due to the Pauli principle. We have implemented a 2D level set method for optimizing this criterion in order to study spatial separation of electron pairs in linear molecules. The method is described and the illustrative example of the BH molecule is reported.Contribution to the Jacopo Tomasi Honorary Issue     

混合食用色素的卡尔曼滤波光度分析

本文用联机卡尔曼滤波光度法成功地同时测定了混合合成食用色素样品中五个组分。它们分别是40号红、苋菜红、柠檬黄、日落黄和亮蓝。方法准确、快速,无需予分离。     

Optimal estimation of intensity of noisy peaks by matched filtering with application to chromatography : Part 1. General introduction and theoretical evaluations

The digital filter described provides optimal enhancement of the signal-to-noise ratio by using prior information about peak shape and type of noise. The filter, based onthe matched-filter principle, is applied to chromatographic data, but is also suitable for optimal processing of similar noisy signals. The current implementation of the filter permits the specific reduction of different types of noise. Several theoretical aspects concerning the interpretation and use of this advanced filter are discussed. Some calculations on peaks with Gaussian and Gamma distribution shape are given.     

Comparison of methods to enhance flame ionization detector (FID) signals in gas chromatography

The performances of some numerical methods to improve the signal to noise ratio are compared and applied to enhance noisy signals obtained in gas chromatography with capillary columns and a flame Ionization detector. Several methods have been considered: cutoffs In the Fourier transform of the recorded signal; real time numerical filtering; theoretical model curve fitting; and the correlation of a chromatogram recorded from a pseudorandomly injected sample with the pseudorandom injection function. Numerical real time filtering is shown to be the most convenient method when the main periodic component of the noise has been determined by Fourier analysis.     

基于高斯滤波和AKAZE-LATCH的图像匹配算法

针对图像匹配中AKAZE(Accelerated-KAZE)算法匹配精度较低以及计算复杂等问题,提出了一种基于高斯滤波和AKAZE-LATCH(AKAZE-Learned Arrangements of Three Patch Codes)算法相融合的图像匹配算法。首先,对输入图像进行高斯滤波预处理,去除高斯噪声等连续性噪声,并且保留图像的边缘信息。然后通过LATCH算法为AKAZE算法构建高效的二进制描述子,再通过KNN(K Nearest Neighbors)算法得到对应的匹配对。最后结合USAC(Universal RANSAC)去除误匹配对方法进行再次筛选,得到最终的匹配结果。经实验对比,所设计的算法相较于AKAZE算法匹配精度更高,且具有良好的鲁棒性和可靠性,可用于多数复杂场景下的图像匹配。     

基于显著性检测的星载嵌入式跟踪系统

随着航天科技的不断发展,计算机视觉算法在卫星上的应用方兴未艾,为了实现更多的功能需求和应对可能的威胁,视觉目标跟踪作为其中基础但具有挑战性的任务更是至关重要。然而,目前已有的目标跟踪算法大多数算法只限于对图像序列进行跟踪。另一方面,受到硬件条件制约,很多优秀的算法因为复杂度较高很少被应用到星载嵌入式系统中。这些目标跟踪算法运行时,通常需要人为地给出目标的边界框。为了自动得到边界框,需要目标检测算法对输入图像进行运动目标检测。本文提出了一种基于显著性检测和相关滤波的单目标检测与跟踪一体化算法,并与嵌入式系统相结合,在搭载的TMS320C6678芯片上达到了2 048 pixel×2 048 pixel分辨率下24 fps的帧率。具体地,检测算法负责对图像进行预处理并获得边界框,然后目标跟踪算法给出目标在后续帧中的位置。为了验证算法在实际跟踪中的有效性,本研究搭建了一个由相机、DSP和云台组成的光学平台并进行了实验验证。在该系统中,DSP自动完成检测、跟踪、驱动云台和再检测任务,达到了很好的检测跟踪效果。     

基于时域频域分析结合的调谐激光吸收光谱检测参数优化

随着调谐激光吸收光谱(tunable laser absorption spectroscopy, TLAS)技术在气体检测中的应用越来越广泛,二次谐波信号的质量与检测参数紧密相关,因而分析检测参数的优化方法很有意义。本文根据谱线预处理中的滤波参数、系统采样时间、锁相放大器的时间常数对信号的影响以及参数间的联系,总结检测参数的选取规律。根据滤波原理和不同浓度下信号的均方根误差(root mean squared error,RMSE)值选择合适的滤波阶数和窗宽。选择信噪比(signal-to-noise ratio,SNR)、RMSE、信号与噪声频域幅度之比(ratio of amplitude in frequency domain of signal to noise,f_SNR)3种评价指标的曲线变化趋势进行时频分析,得到最佳采样周期数为30,结合实验系统具体参数可计算最佳采样时间。通过信号主频带与截止频率的关系和滤波效果选择合适的时间常数。综合分析3个检测参数并总结选取方法,可提高二次谐波信号的质量。本文提出的参数选取方法对提高二次谐波在实际应用中的准确度有...     

基于改进Kalman滤波模型的扫描合成孔径雷达图像扇贝效应校正方法

星载扫描合成孔径雷达(ScanSAR)采取Burst工作模式,该模式在获得宽幅测绘能力的同时,也导致图像中产生了固有的扇贝效应,严重影响图像的视觉效果和定量应用。该文结合对ScanSAR图像方位向统计特性的分析,针对现有滤波模型稳定性差和时间复杂度高等缺点,提出了一种改进的Kalman滤波模型,对图像方位向标准差和均值进行滤波以校正扇贝条纹。在高分三号(GF-3)卫星获取的真实ScanSAR图像上的校正结果验证了改进算法的有效性和高效性,此外在建筑群和海陆交界等复杂场景图像上的实验结果表明,改进算法具有较强的鲁棒性。