A study on the evaluation of usefulness depending on the image reconstruction method in bone SPECT scan

The recent advances in image-processing techniques have led to the development of many methods to reduce the scan time without degrading the image quality. In particular, tomography has improved image reconstruction methods with the concomitant improvement of high-quality images. In this study, PRECEDENCE 16 was used to reconstruct images using the filtered back projection method, which is generally used, and the Astonish method and three-dimensional ordered-subsets expectation maximization method, which are based on repetition techniques. In qualitative and quantitative analysis of the reconstructed images, a comparison was made between images with different acquisition times and between images with the same acquisition time, which aimed at determining the optimal method for reconstructing high-quality images. A blind test for qualitative analysis confirmed almost no difference in image quality depending on the image acquisition time. Furthermore, in quantitative analysis, there was no significant difference in image quality depending on the image acquisition time. On the other hand, the results of the analysis in the image reconstruction method with the same acquisition time demonstrated a significant difference. The images reconstructed by the Astonish method, which uses a repetition technique, are believed to be excellent because they have high resolution and provide clinical diagnostic information. This study confirmed that the reconstruction method with a repetition technique could be used to improve image quality and reduce the scan time, despite not being in general use until recently due to the lengthy time needed for image reconstruction and lack of storage space.     

齐次平衡法、Weiss-Tabor-Carnevale法及Clarkson-Kruskal约化法之间的联系

扩充齐次平衡法的应用范围,用于寻找非线性数学物理方程的Bcklund变换和相似约化,其结果分别等同于Weiss-Tabor-Carnevale (WTC) 法及Clarkson-Kruskal (CK) 法结果,并从理论上进一步说明三种方法之间的密切联系. 关键词： 齐次平衡法 WTC法 CK约化法     

测量电池电动势和内阻中不确定度评定方法比较

本文介绍了用板式电势差计测量电池电动势和内阻中直线拟合参数的不确定度的评定方法,并用图解法和最小二乘法求得的结果进行比较,得出评定方法的可行性与优缺点.     

原子光谱分析中的间接测定法

本文对近年来原子光谱分析间接测定法的进展及应用进行了综述,内容包括:方法原理、AAS间接法、ICP-AES间接法和FIA-AAS间接法。附参考文献57篇。     

不同介质中超声波传播速度测量方法之比较

基于共振干涉法、相位法和反射回波法测量了空气和水中超声波的传播速度,比较了三种方法的优缺点,共振干涉法和相位法可测量气体和液体中的声速,反射回波法可测量液体和固体中的声速;相位法误差最小,共振干涉法误差相对较大。共振干涉法研究了示波器接收的交变电压随传播距离的变化规律,计算得空气和水中超声波的损耗系数分别为0.01381、0.01829,超声波在水中的损耗较大。使用Origin软件直线拟合,对实验结果进行分析和评价。     

A study of fringe pattern trace and analysis

In this paper,the gometric center and centroid method are suggested to tracecenter location of a close fringe pattern.The fringe pattern of the interferogram is analysed byusing the general Fourier method.The analytic accuracy is controlled by using P-test methodof statistics.The analytic accuracy and sampling speed of the fringe pattern depend on thequality of the interferogram and the numbers of the sampling points.     

Analytical mechanics methods for solving Whittaker equations

The purpose of this paper is to study the solution of the celebrated Whittaker equations by using analytical mechanics methods, including the Lagrange--Noether method, Hamilton--Poisson method and potential integral method.     

牛顿环实验数据处理的最佳方法

本文用几种不同的方法对牛顿环测平凸透镜曲率半径的数据进行了处理，得出了加权平均法是处理该数据的最佳方法。     

Explicit multi-symplectic method for the Zakharov—Kuznetsov equation

We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov-Kuznetsov equation. The method combines the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation.     

介质光波导的数值计算及近似方法

综述介质光波导中模式分析方法的最新进展。着重分析严格的数值分析方法及近似方法最近的研究进展。依据方法的计算精确度、计算效率和计算复杂度等因素．对有限元法和有限差分法这两种数值分析方法以及有效指数法和频谱指数法等近似方法进行讨论。论述磁光波导的分析方法。     

固体材料低温比热测量技术综述

材料低温比热测量对新材料研究和应用具有重要意义,低温比热测量是低温物理研究领域最活跃的研究方向之一。对低温比热测量研究历史作了简单的介绍,对各种低温比热测量方法的原理、应用、发展进行了较全面的综述分析,对超低温、强磁场、放射性样品等特殊情况下比热测量作了讨论。     

Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian

For classical Hamiltonian with general form H = 1/2 ∑ ij Mijpipj + 1/2 ∑ ij Lijqiqj we find a new convenient way to obtain its normal coordinates, namely, let H be quantised and then employ the invariant eigen-operator (IEO) method (Fan et al. 2004 Phys. Lett. A 321 75) to derive them. The general matrix equation, which relies on M and L, for obtaining the normal coordinates of H is derived.     

Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

In this paper, we propose two new explicit multi-symplectic splitting methods for the nonlinear Dirac (NLD) equation. Based on its multi-symplectic formulation, the NLD equation is split into one linear multi-symplectic system and one nonlinear infinite Hamiltonian system. Then multi-symplectic Fourier pseudospectral method and multi-symplectic Preissmann scheme are employed to discretize the linear subproblem, respectively. And the nonlinear subsystem is solved by a symplectic scheme. Finally, a composition method is applied to obtain the final schemes for the NLD equation. We find that the two proposed schemes preserve the total symplecticity and can be solved explicitly. Numerical experiments are presented to show the effectiveness of the proposed methods.     

反射法和自准法测三棱镜顶角的比较

通过对反射法和自准法测量三棱镜顶角的比较,从测量的准确程度以及实验过程中操作容易程度来看,自准法更适合测量三棱镜顶角。     

由波前斜率信息进行波前重建

本文在Southwell等人文章的基础上，提出两种新的探测子孔径等边三角形排列的区域法重建模型，计算了其噪声系数，并对重建方程的矩阵解和迭代解做了比较。     

带嵌件型腔内熔接过程的数值模拟研究

基于充模过程的两相黏弹性流体模型, 采用同位网格有限体积法, 结合浸入边界法和界面追踪的复合水平集流体体积方法实现了带嵌件型腔内充模过程的动态模拟. 基于上述模型和算法模拟了熔体前沿界面及熔接线的动态演化过程, 而且通过线性应力-光学定律得到了熔接线附近的流动诱导应力分布情况; 讨论了熔体温度及模具温度对熔接线区域凝固层厚度的影响. 数值结果表明: 本文提出的方法可用于模拟复杂型腔内的充模过程以及熔接线的自动追踪; 由于聚合物黏弹性熔体流动的复杂性, 当两股熔体相遇后, 熔接线不同位置的应力分布变化较大; 熔体或模具温度越高, 熔接线区域凝固层厚度越薄, 提高熔体或模具温度能够改善甚至消除充模过程中的熔接线.     

基于MOF界面重构的多物质ALE方法

提出一种基于MOF(Moment-of-Fluid)界面重构的多物质ALE(Arbitrary Lagrangian-Eulerian)方法.流体力学方程组采用相容有限元方法进行空间离散.提出一种新的二维子网格力学模型,用来计算混合网格中的物理量经过一个拉氏步后发生的变化,混合网格内的界面重构采用MOF方法.提出一种精确积分守恒重映方法.给出数值算例,如空气和水的Riemann问题,Dukowicz问题,水中强激波与空气泡相互作用问题等.结果表明,方法具有较高的精度,能够处理物质界面和网格的大变形问题.     

冲击动力学中离散元与有限元相结合的计算方法研究

 阐述了一种离散元与有限元法相结合的计算方法,编制了可应用于细观模拟的二维程序,对受冲击载荷作用的均匀材料和非均匀材料的响应特征进行了计算,并对数值模拟进行了验证。计算结果与理论值较吻合,验证了方法的可行性。     

耦合势有限体积法高效模拟各向异性地层中海洋可控源的三维电磁响应

本文基于电场矢势与标势分解的耦合势有限体积法研究建立一套各向异性地层中海洋可控源电磁法的三维响应的高效数值模拟技术.首先引入电场的矢势和标势,将电场分解为无散场和无旋场之和,Maxwell方程转换为关于矢势与标势的混合Helmholtz方程,克服低感应数问题.在此基础上,借助Yee氏交错网格和有限体积法以及非均质单元中等效电导率公式,建立混合Helmholtz方程的离散方程.并采用直接法求解器PARDISO求解离散方程,有效保证在大的求解空间中仍然能够获得电磁场稳定可靠的数值解.此外,在数值模拟中利用差异场技术,克服源的奇异性问题,尽可能提高近场的计算精度.与解析解的对比证明了该算法的有效性.数值模拟结果表明,海洋可控源电磁法沿测线方向的电场,对油气藏的纵向电阻率敏感,对横向电阻率不敏感;对油气藏上方的覆盖层的纵向电阻率和横向电阻率都敏感.