Magnetic Resonance Imaging Segmentation via Weighted Level Set Model Based on Local Kernel Metric and Spatial Constraint

Magnetic resonance imaging (MRI) segmentation is a fundamental and significant task since it can guide subsequent clinic diagnosis and treatment. However, images are often corrupted by defects such as low-contrast, noise, intensity inhomogeneity, and so on. Therefore, a weighted level set model (WLSM) is proposed in this study to segment inhomogeneous intensity MRI destroyed by noise and weak boundaries. First, in order to segment the intertwined regions of brain tissue accurately, a weighted neighborhood information measure scheme based on local multi information and kernel function is designed. Then, the membership function of fuzzy c-means clustering is used as the spatial constraint of level set model to overcome the sensitivity of level set to initialization, and the evolution of level set function can be adaptively changed according to different tissue information. Finally, the distance regularization term in level set function is replaced by a double potential function to ensure the stability of the energy function in the evolution process. Both real and synthetic MRI images can show the effectiveness and performance of WLSM. In addition, compared with several state-of-the-art models, segmentation accuracy and Jaccard similarity coefficient obtained by WLSM are increased by 0.0586, 0.0362 and 0.1087, 0.0703, respectively.     

The electron transport characters in a nanostructure with the periodic magnetic-electric barriers

This paper detailedly studies the transmission probability, the spin polarization and the conductance of the ballistic electron in a nanostructure with the periodic magnetic-electric barriers. These observable quantities are found to be strongly dependent not only on the magnetic configuration, the incident electron energy and the incident wave vector, but also on the number of the periodic magnetic-electric barriers. The transmission coefficient and the spin polarization show a periodic pattern with the increase of the separation between two adjacent magnetic fields, and the resonance splitting increases as the number of periods increases. Surprisingly, it is found that a polarization can be achieved by spin-dependent resonant tunnelling in this structure, although the average magnetic field of the structure is zero.     

Mathematical concepts and their physical foundation in the nonstandard analysis theory of turbulence

Main mathematical concepts and their physical foundation in the nonstandard analysis theory of turbulence are presented and discussed. The underlying fact is that there does not exist the absolute zero fluid-volume. Therefore, the physical object corresponding to the absolute point is just the uniform fluid-particle. The fluid-particle, in general, corresponds to the monad. The uniform fluid-particle corresponds to the uniform monad, while the nonuniform fluid-particle to the nonuniform monad. There are two kinds of the differentiations, one is based on the absolute point, and the other based on the monad. The former is adopted in the Navier--Stokes equations, and the latter in the fundamental equations presented in this paper for the nonstandard analysis theory of turbulence. The continuity of fluid is elucidated by virtue of the concepts of the fluid-particle and fluid-particle at a lower level. Furthermore, the characters of the continuity in two cases, i.e. in the standard and nonstandard analyses, are presented in this paper. And the difference in discretization between the Navier--Stokes equations and the fundamental equations given herein is also pointed out.     

9-羟基苯嵌萘酮的基态能级劈裂的理论研究

当γ,μ满足一定条件时,六次函数V(R,γ)=C[R⁶+2γR⁴+(γ²+μ)R²]的图像是双势阱,可用来描述质子转移,且其相应的Schrodinger方程有解析解.用此势函数结合一维双势阱模型及变分法,并用B3P86密度泛函方法在6-311G水平下计算了该分子的平衡态和过渡态的构型及能量,研究了9-羟基苯嵌萘酮的基态能级劈裂,与其它理论值相比,所得计算结果[Δ_H(0)=86.13cm^-1]与实验值符合得较好.     

CdZnTe晶体的缺陷能级分析

通过测试富Cd原料无籽晶垂直布里奇曼法生长出的高阻Cd0.8Zn0.2Te (CZT)单晶体的I-T特性曲线,利用热激活能原理来分析单晶体内的缺陷,结果得到晶体中有一个由镉空位引起的电子陷阱,其深度为0.539eV.由于俘获能级有较高的激活能,在常温下,价带上的载流子不会被激发,所以该晶体适用于制作室温核辐射探测器.另外还研究了CZT晶体在室温下的I-V特性,测得采用该方法生长的CZT单晶体电阻率高达5.0×1010Ω*cm,制作的核辐射探测器在室温下获得了比较好的241Am 59.5keV能谱.     

运动激波和气泡串相互作用的初步数值模拟

通过对激波和流体界面相互作用诱导的大变形界面演化的数值模拟,验证Level set方法精确模拟多个流体界面的有效性.采用2阶迎风TVD求解欧拉方程得到流场解,采用5阶WENO求解Level set方程追踪多流体界面,采用GFM方法处理流体内界面.利用文[1]的计算结果校核本文程序.在此基础上,对运动激波和气泡串相互作用过程进行了初步数值模拟,得到了不同时刻运动激波和圆管内的两个气泡作用后的演化图象,包括压力和密度等值线分布.计算结果表明:针对推广后的多界面Level set方程,该方法仍可高质量地捕捉多个流体界面.     

Motion of level sets by a generalized mean curvature

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青藏高压东侧偏北大风对梅雨暴雨影响的合成分析

利用常规观测资料对1991～1996年江淮地区梅雨大暴雨期的高、低层流场进行合成诊断分析,结果表明,梅雨期暴雨时,在对流层上部,由于青藏高原向东扩、在高压东侧出现偏北大风轴,由此构成的高空辐射区随着高压的东移而东移,它常常位于低空急流前端的上空、形成上层东北风,下层西南风的特殊耦合关系。     

一种由自由电子能带模型计算费米能级的方法

对面心立方（fcc)、体心立方（bcc)和六角密堆积（hcp)三种不同结构的晶体,在假设它们的原胞中包含8个价电子并将价电子近似为自由电子的情况下,采用“自由电子气理论”和“自由电子能带模型”,研究其根据费米球确定的费米能级EF与根据自由电子能带模型计算的平均键能Em。研究结果表明,由自由电子能带模型计算所得3种不同结构晶体（因而电子密度也不一样）的平均键能Em等于各自自由电子系统的费米能级EF。平均键能Em是我们在异质结带阶理论计算中建议的一种参考能级,研究结果在深化对平均键能Em物理实质认识的同时,提供了一种借助于自由电子能带模型计算自由电子系统费米能级EF的新方法。     

近似程度对强耦合磁极化子平均数特性的影响

本文应用幺正变换和线性组合算符法研究了极性晶体内强耦合磁极化子的平均数^-n与磁场B和温度T之间的依赖关系。讨论了在不同的近似计算程度情况下,磁极化子平均数与磁场和温度的特性。对RbCl晶体所作的数值计算结果表明：当计算的近似程度较低时,磁极化子的平均数随温度的升高而减小,但随磁场的加强而增大;当计算的近似度较高时,磁极化子的平均数随温度的升高而增大,但随磁场的加强而减小。