Structure of 6He in the frame of a cluster model

A microscopic cluster model with a fully correlated Gaussian basis is developed. In the model, the stochastic variational method is used in order to calculate the ground-energy and the mean-square radius conveniently. Based on this model, the ground-energy level and radius of the neutron halo nucleus, <'6>He, are calculated as a α+n+n three-cluster model. The results are in good agreement with the experimental data.     

Side-lobeless far-field spectrum of a short pulse from a circular aperture with Gaussian form of transmittance

The spectrum change of a Gaussian pulse in the far field is studied with the Fresnel diffraction integral when it is incident on an aperture with Gaussian form transmittance. It is found that the side-lobes of the diffracted spectral intensity, which exist in a normal circular aperture with unit transmittance, can be eliminated completely under such a condition. Also, the red shift and blue shift of the spectral intensity maximum of the incident pulse are presented.     

Random matrix theory for transition strength densities in finite quantum systems: Results from embedded unitary ensembles

Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated interacting quantum many-particle systems. For the simplest spinless fermion (or boson) systems, with say m$m$ fermions (or bosons) in N$N$ single particle states and interacting via k$k$-body interactions, we have EGUE(k$k$) [embedded GUE of k$k$-body interactions] with GUE embedding and the embedding algebra is U(N)$U\left(N\right)$. A finite quantum system, induced by a transition operator, makes transitions from its states to the states of the same system or to those of another system. Examples are electromagnetic transitions (then the initial and final systems are same), nuclear beta and double beta decay (then the initial and final systems are different), particle addition to or removal from a given system and so on. Towards developing a complete statistical theory for transition strength densities (transition strengths multiplied by the density of states at the initial and final energies), we have derived formulas for the lower order bivariate moments of the strength densities generated by a variety of transition operators. Firstly, for a spinless fermion system, using EGUE(k$k$) representation for a Hamiltonian that is k$k$-body and an independent EGUE(t$t$) representation for a transition operator that is t$t$-body and employing the embedding U(N)$U\left(N\right)$ algebra, finite-N$N$ formulas for moments up to order four are derived, for the first time, for the transition strength densities. Secondly, formulas for the moments up to order four are also derived for systems with two types of spinless fermions and a transition operator similar to beta decay and neutrinoless beta decay operators. In addition, moments formulas are also derived for a transition operator that removes k₀$k_0$ number of particles from a system of m$m$ spinless fermions. In the dilute limit, these formulas are shown to reduce to those for the EGOE version derived using the asymptotic limit theory of Mon and French (1975). Numerical results obtained using the exact formulas for two-body (k=2$k=2$) Hamiltonians (in some examples for k=3$k=3$ and 4$4$) and the asymptotic formulas clearly establish that in general the smoothed (with respect to energy) form of the bivariate transition strength densities take bivariate Gaussian form for isolated finite quantum systems. Extensions of these results to bosonic systems and EGUE ensembles with further symmetries are discussed.     

Gaussian pre-filtering for uncertainty minimization in digital image correlation using numerically-designed speckle patterns

This paper discusses the effect of pre-processing image blurring on the uncertainty of two-dimensional digital image correlation (DIC) measurements for the specific case of numerically-designed speckle patterns having particles with well-defined and consistent shape, size and spacing. Such patterns are more suitable for large measurement surfaces on large-scale specimens than traditional spray-painted random patterns without well-defined particles. The methodology consists of numerical simulations where Gaussian digital filters with varying standard deviation are applied to a reference speckle pattern. To simplify the pattern application process for large areas and increase contrast to reduce measurement uncertainty, the speckle shape, mean size and on-center spacing were selected to be representative of numerically-designed patterns that can be applied on large surfaces through different techniques (e.g., spray-painting through stencils). Such “designer patterns” are characterized by well-defined regions of non-zero frequency content and non-zero peaks, and are fundamentally different from typical spray-painted patterns whose frequency content exhibits near-zero peaks. The effect of blurring filters is examined for constant, linear, quadratic and cubic displacement fields. Maximum strains between ±250 and ±20,000 µε are simulated, thus covering a relevant range for structural materials subjected to service and ultimate stresses. The robustness of the simulation procedure is verified experimentally using a physical speckle pattern subjected to constant displacements. The stability of the relation between standard deviation of the Gaussian filter and measurement uncertainty is assessed for linear displacement fields at varying image noise levels, subset size, and frequency content of the speckle pattern. It is shown that bias error as well as measurement uncertainty are minimized through Gaussian pre-filtering. This finding does not apply to typical spray-painted patterns without well-defined particles, for which image blurring is only beneficial in reducing bias errors.     

改进自适应加权的局部立体匹配算法

针对Yoon经典自适应加权法在深度不连续处误匹配率较高、边缘细节不突出以及匹配窗口大小凭经验设计不通用等缺陷,提出了一种改进自适应加权的局部立体匹配算法.在经典自适应加权局部立体匹配算法的基础上用高斯分布权值替换了几何空间权值,增加了边缘权值突出深度不连续处的边缘细节,采用赢家通吃原则(Winner Take All,WTA)获取单像素点视差,在目标视图中逐点求取视差,最终获得稠密视差图.实验结果表明,该算法相比于经典自适应加权法,在非遮挡区域错误匹配百分比上下降6％,在深度不连续处的误匹配率降低了5％,边缘细节毛刺明显减少.     

一种面向高斯差分图的压缩感知目标跟踪算法

传统的压缩感知目标跟踪在目标纹理改变、比例缩放、光照变化剧烈时鲁棒性不足,本文提出一种面向高斯差分图的压缩感知目标跟踪算法。首先,构建原始图像的多尺度空间及其对应的图像高斯差分图,实现高斯差分图的特征提取并获取压缩感知的输入信号;然后,通过压缩降维,目标邻域遍历,参数更新等过程,计算出面向高斯差分图的后续帧的目标最优跟踪窗;最后,将跟踪窗投影到对应的原始图像上,完成面向视频流的目标跟踪。实验证明,高斯差分图像是单通道灰度图,相比较原始视频流的三通道彩色图,具有灰度取值范围小,数值低,结构简单,维数少等特点,增强了特征对纹理改变、比例缩放和光照变化的稳健性,且继承了原始算法的实时性。因此,与传统的压缩感知算法相比,本文算法能快速准确地实现复杂环境下的移动目标跟踪任务,具有更强的鲁棒性。     

太赫兹扫描光路系统的仿真与分析

为了实现太赫兹探测系统快速控制、逆向聚焦、长距离和大范围扫描等功能,基于共焦Gregorian反射系统(CGRS),采用ZEMAX光学仿真软件对光路进行仿真分析.首先,理论计算并确定该系统中主要反射镜的参数,予以建模;在此基础上,进行光路仿真、分析结果和计算误差.经分析知,该系统能够实现1.74m扫描范围内的25 m远距离探测;并且调制传递函数接近衍射极限,成像良好.最后,利用高斯光束分析光信号在光路中传播的能量损耗情况,即当输入辐照度为63.6 mW/mm2时,可以得到14.6 mW/mm2的辐照度输出,为实际系统光源和探测器的选择提供了理论依据.     

减小声光频谱仪频率测量方差算法研究

声光器件衍射光峰值偏转位置与输入信号频率成正比是声光频谱仪测频的基本原理,但实际中衍射的非线形效应会引起衍射光峰值偏转误差较大。为减小频率测量方差,需对衍射光强数据做相应处理。对CCD背景噪声的数字特征分析,以背景噪声数学平均值为阈值做去噪处理。根据最小二乘法原理,对衍射光强数据做一次高斯函数拟合,拟合数据与光强数据相关系数为0.997 6。在现有测试光学平台下,根据衍射光强峰值位置估计的频率测量方差为542.5 kHz2,利用拟合高斯函数中心值估计的频率测量方差为31.8 kHz2。为减小声光频谱仪频率测量方差提供了理论支持。     

基于梯度和光流统计特性的人体行为识别

提出利用梯度和光流的统计特征进行人 体行为识别的 新方法.首先,通过数理统计分析得到不同行为的梯度和光流的直方图分布均符合非对称广 义高斯分布 (AGGD);然后,分别提取梯度和光流的AGGD模型的参数,并把这些参数作为描述人体行为 的统计特征; 最后,通过计算训练集行为视频与测试集行为视频的统计特征间的马氏距离进行人体行为识 别。在 KTH数据库和Weizmann数据库上分别进行了实验仿真,两个数据库上的平均识别率分别高达95.20%和 93.16%,与其它行为识别方法相比可以明显提高行为平均识别率。     

Weight distributions of a class of cyclic codes with arbitrary number of nonzeros in quadratic case

Cyclic codes are an important class of linear codes, whose weight distribution have been extensively studied. So far, most of previous results obtained were for cyclic codes with no more than three nonzeros. Recently, the authors of [37] constructed a class of cyclic codes with arbitrary number of nonzeros, and computed the weight distribution for several cases. In this paper, we determine the weight distribution for a new family of such codes. This is achieved by introducing certain new methods, such as the theory of Jacobi sums over finite fields and subtle treatment of some complicated combinatorial identities.