Admissible points of a convex polyhedron

In this paper, we present several new properties of the admissible points of a convex polyhedron. These properties can be classified into two categories. One category concerns the characterization and generation of these points. The other category concerns the circumstances under which these points are efficient solutions for linear multiple-objective programs with nonnegative criteria matrices. To illustrate some of the potential utility of these properties, we describe their application to two practical problems. These problems are the linear multiple-objective problem with interval coefficients and the problem of optimizing over the efficient set.This research was supported, in part, by the Center for Econometrics and Decision Sciences, University of Florida, Gainesville, Florida.     

基片及其上方回转椭球粒子极化光散射

基于BV理论建立基片及其上方回转椭球粒子的复合散射模型,通过矢量球谐函数展开,对散射过程进行了分析,对散射场及微分散射截面详细求解,并给出了数值计算结果,与离散源方法做了比较,同时退化为球粒子与扩展Mie理论做了比较,说明了此方法的有效性。并详细讨论分析了微分散射截面随不同入射角,散射角,回转椭球粒子的尺寸、长短轴比例,距基片的距离,介电常数,粒子取向角的变化关系。结果表明:同一散射角下入射角越大,其微分散射截面越大;粒子尺寸越大,相互作用越大,其微分散射截面越大;长短轴比例越大,其微分散射截面越小;距离基片的距离越大,微分散射截面越大;微分散射截面的变化主要依赖于相对介电常数实部、虚部数值较大的一方,并且随粒子取向角的增大而增大。     

基于四象限光位置检测器的同步光位置测量系统

 为了克服现有双丝型检测器无法进行水平、垂直两个方向同时测量同步光位置的缺点,合肥光源新研制了基于四象限光位置检测器的同步光位置测量系统,并使用对数比处理技术进行后续的数据处理。通过分别对光学成像系统和四象限光位置检测器的标定,最终得到基于四象限光位置检测器的光位置测量系统的性能参数为:水平方向灵敏度0.471 2 mm^-1,线性范围为±1.83 mm,垂直方向灵敏度0.635 0 mm-1,线性范围±1.32 mm。与合肥光源现有的光位置测量系统相比,具有较高的性价比。     

LAMOST光纤单元定位参数研究

大天区多目标光纤光谱天文望远镜LAMOST是世界上光谱获取量最大的望远镜,4000个双回转光纤单元的精确定位是关键因素之一。根据对星像观测的要求以及单元的定位方式,确立了所需的7个定位参数,研究了在复杂现场环境下获取定位参数的具体流程和可行性算法,包括光重心法、摄像机快速标定算法、基于最小二乘拟合圆算法、空间坐标旋转算法等。通过模拟星像观测仿真测试和现场星像试观测证明,定位参数精度能很好地满足观测需求。目前LAMOST望远镜观测光谱获取率已达到90%以上。     

六自由度机构位姿的单相机照相测量研究

用单相机对新型的六自由度机构样机的六个自由度位移进行了非接触式照相测量。简要回顾了照相法的研究概况及该测量研究的工作背景;介绍了相机标定原理及具体标定方法。建立了被测样机的CAD模型,进行了自由度位移仿真,将仿真结果作为理想数据与实测数据进行比较,从而获得测量误差,并对测量误差进行了初步分析。探讨了单相机照相测量法的应用前景。     

适用于星敏感器的导航星表构造算法研究

导航星表的性能对于星敏感器姿态测量的实时性及精度至关重要。为了克服星等过滤算法的缺点,将支持向量机应用于导航星表的构造算法中。将基本星表中的恒星视为待分类的数据点,选取抽样视场中最亮的k颗星作为导航星,而非导航星的数量由抽样视场中恒星的密度决定。为了获得具有最大推广能力的抽样数据,采用了一种球面螺旋形算法生成抽样视场视轴指向,使用抽样数据构建最优导航星分类器,应用最优导航星分类器对基本星表中每一颗恒星进行分类判决。仿真结果表明,在满足8°×8°视场中至少出现3颗导航星的条件下,该算法生成的导航星表导航星总数约为星等过滤算法的33%,比传统支持向量机算法减少了7.8%,其标准差仅为星等过滤算法的21%,这表明本算法在导航星表容量及导航星分布均匀性方面大大优于星等过滤算法和传统支持向量机算法。     

星载InSAR基线矢量方位动态测量方法研究

 星载InSAR干涉基线矢量方位角的测量精度对整个系统的测绘精度有着十分重要的影响。针对星载InSAR测量系统对其干涉基线矢量方位角的测量要求,给出了一种基于图像处理的CCD摄像测量方法。利用CCD摄像测量法对主副天线在平面内的相对位移进行了精确测量。分析了系统的理论误差,构建了完整的实验系统,并对光学靶标的固定步长位移进行验证性实验测量,实验结果与理论分析值具有较好的一致性,测量系统的测量精度优于1σ,证明了该测量方法具有很好的可行性。     

A new method to determine the projected coordinate origin of a cone-beam CT system using elliptical projection

In order to determine the projected coordinate origin in the cone-beam CT scanning system with respect to the Feldkamp-Davis-Kress(FDK)algorithm,we propose a simple yet feasible method to accurately measure the projected coordinate origin.This method was established on the basis of the theory that the projection of a spherical object in the cone-beam field is an ellipse.We first utilized image processing and the least square estimation method to get each major axis of the elliptical Digital Radiography(DR)projections of a group of spherical objects.Then we determined the intersection point of the group of major axis by solving an over-determined equation set that was composed by the major axis equations of all the elliptical projections.Based on the experimental results,this new method was proved to be easy to implement in practical scanning systems with high accuracy and anti-noise capability.     

ATLAS commissioning and early physics of resonance and jet production

As early physics programs with the ATLAS detector,we present J/ψ and Υ production cross section and spin alignment measurements,and the strategy for the jet energy calibration.     

Nonlinear Parabolic Equations with Singularities in Colombeau Vector Spaces

We consider nonlinear parabolic equations with nonlinear non-Lipschitz＇s term and singular initial data like Dirac measure, its derivatives and powers. We prove existence-uniqueness theorems in Colombeau vector space yC^1,W^2,2（[0,T）,R^n）,n ≤ 3. Due to high singularity in a case of parabolic equation with nonlinear conservative term we employ the regularized derivative for the conservative term, in order to obtain the global existence-uniqueness result in Colombeau vector space yC^1,L^2（[0,T）,R^n）,n≤ 3.