基于全变分最小化和快速一阶方法的低剂量CT有序子集图像重建

低剂量计算机断层成像(computed tomography,CT)具有减少X射线对患者的伤害的优势.本文主要针对从不完备投影数据重建出高质量低剂量CT图像的问题.通常,这个问题可以通过统计图像重建方法来实现,而统计重建算法需要非常多的迭代次数,导致了巨大的计算时间压力,以至于很难应用在实践中.为解决此问题,本文提出一种有序子集重建算法,该算法结合了全变分最小化和快速一阶方法以减少重建的迭代次数,采用Split Bregman交替方向法求解上述优化问题,利用投影到凸集合的方法加快迭代的收敛速率.实验结果表明,在同样的迭代次数下,本文提出的方法与基于有序子集的一阶方法相比较,相对重建误差的下降速度更快.     

具有非线性热源项的耦合杆系统

主要以经典的算子半群理论为依据,研究了一类具有非线性热效应的耦合杆系统的长时间行为.首先在齐次边界条件和初始条件下,证明了系统解的存在唯一性;其次通过渐近先验估计,证明了系统有界吸收集的存在性;最后利用算子半群的分解技巧,得到了系统全局吸引子的存在性.     

结构分析中的综合离散法

本文提出了一个结构分析的新方法——综合离散法,它是将近代有限元法与经典Ritz 法相结合而产生的一种方法.文中引入了节点位移模式的概念,并就薄板弯曲问题指出建立节点位移模式的两个途径:一维综合与二维综合.本文应用综合离散法,计算了某些边界条件下薄板弯曲的静力、动力及稳定问题,数值计算结果是令人满意的.     

Synthesis,Characterization and Catalytic Activity of Salen Co(Ⅲ)Cl in Alternating Copolymerization of CO2 and Propylene Oxide

The title complex Salen Co(Ⅲ)Cl(Salen = 6,6’-((1E,1’E)-(cyclohexane-1,2-diylbis(azaneylylidene))bis(methaneylylidene))bis(2,4-di-tert-butylphenol)) was synthesized and characterized by elemental analysis, IR spectroscopy, 1H NMR and UV-Vis. The complex can be used as catalyst for the propylene oxide(PO)/CO2 copolymerization in different conditions of reaction time, reaction temperature, carbon dioxide pressure and monomer concentration, and the optimum conditions for copolymerization were obtained.     

基于1.5μm多普勒激光雷达的飞机尾涡探测技术研究

为规避尾涡威胁,保障飞行安全,研究了飞机尾涡的激光探测技术.介绍了尾涡探测基本原理,给出了激光探测方式设计和探测系统参量选择.基于设计的尾涡激光探测方案,研究了飞机尾涡回波多普勒谱与机型参量、飞行参量以及环境参量间的关系,获得了尾涡的径向速度分布规律,建立了尾涡回波多普勒谱模型,选取最佳尾涡参量估计算法用于尾涡的全面表...     

微波椭偏法测量不透明材料的厚度

在传统的激光椭偏法测量厚度的基础上,用微波取代激光测量了不透明材料的厚度.分析了偏转角及反射干扰产生的误差,并提出了修正方法.测量结果表明:该方法可以比较精确地测量铝板和塑料板的厚度;由于散射的影响,表面磨砂的有机玻璃板的厚度测量误差很大.     

一类离散的时滞脉冲切换系统的H_∞二次稳定性

研究了一类离散的时滞脉冲切换系统的H_∞控制问题,利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了离散脉冲切换系统具有性能指标γ的充分条件.     

Analysis of superconducting cavity quench events at SSRF

Quench is important and dangerous to superconducting RF cavities. This paper illustrates the mechanism of quench and how a quench detector works, and analyzes the quench events happening during beam operations and cavity conditioning. We find that the quench protection is mostly triggered by some reasons such as fluctuation of cavity voltage, multipacting or arc, rather than a real cavity thermal breakdown. The results will be beneficial to optimize the operation parameters of superconducting cavities, to discover the real reasons for beam trip by quench interlock, and to improve the operation stability of superconducting RF systems.     

Synthesis and Crystal Structure of N,N′-Bis-[3-chloro-5-S-(l-menthyloxy)-2(5H)-4-furanon-yl]-propane-1,3-diamine

The title compound,N,N′-bis-[3-chloro-5-S-(l-menthyloxy)-2(5H)-4-furanon-yl]-propane-1,3-diamine(C31H48Cl2N2O6,Mr = 615.61),has been synthesized and characterized by IR,1H NMR,MS,elemental analysis and single-crystal X-ray diffraction.The crystal crystallizes in the monoclinic system,space group C2 with a = 16.1091(4),b = 11.1880(3),c = 19.2854(5) ,β = 106.297(2)°,V = 3336.12(15) 3,Z = 4,Dc = 1.226 mg/m3,μ = 0.237 mm-1,F(000) = 1320,the final R = 0.0531 and wR = 0.0700 for 2760 observed reflections(I > 2σ(I)).X-ray analysis reveals that the title compound possesses four rings:two chiral five-membered furanone rings and two six-membered cyclohexane rings with chair conformation,containing eight chiral centers:C2(S),C3(R),C5(R),C10(S),C18(S),C21(R),C22(S) and C25(R).The structure is stabilized by N-H…O hydrogen bonding interaction.     

带交易费用的可数无限态两期经济的均衡存在性

To some two-period economies with countable infinite state spaces,the existence of expectation equilibrium of real asset economies with transaction costs is given. This work extends the researches of Zame in 1993.