新型自动立体显示背光板的光学设计

立体显示技术的研究主要是解决虚拟现实领域的三维视觉问题。自动立体显示是不需要配戴特殊眼镜的,使用一个二维平面空间显示屏显示至少一对满足双眼视差的立体图像。当人的双眼接受到具有视差的立体图像对时,在视网膜上形成视差像,经大脑神经系统的融合,从而产生深度感。提出了一种全新的实现自动立体显示的折射式方法,设计了基于此方法的一种新型折射式的、结构简单的、通过透射显示屏(如液晶显示屏)实现自动立体显示的背光系统。根据视差立体显示参量模型,建立了光学系统的结构参量以及分析了光学材料的性质对实现立体显示的影响,并运用先进的光学设计软件进行设计、模拟。     

3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization

Segmentation of three-dimensional (3D) complicated structures is of great importance for many real applications. In this work we combine graph cut minimization method with a variant of the level set idea for 3D segmentation based on the Mumford-Shah model. Compared with the traditional approach for solving the Euler-Lagrange equation we do not need to solve any partial differential equations. Instead, the minimum cut on a special designed graph need to be computed. The method is tested on data with complicated structures. It is rather stable with respect to initial value and the algorithm is nearly parameter free. Experiments show that it can solve large problems much faster than traditional approaches.     

On Higher Order Pyramidal Finite Elements

In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four sub-tetrahedra that form a given pyramidal element.     

三维实体退化虚拟层合梁单元在梁极限承载力分析中的应用

提出采用三维实体退化虚拟层合梁单元计算梁极限承载力的方法。考虑结构的几何非线性和材料非线性,利用该单元编制了极限承载力计算程序,并将其应用于梁极限承载力的分析。计算实例表明,该单元收敛快,稳定性好,在单元数较少的情况下,具有较高的精度。由于能克服块体单元或梁段     

Exact Solutions of Five Complex Nonlinear Schrödinger Equations by Semi-Inverse Variational Principle

In this paper, we establish exact solutions for five complex nonlinear Schrödinger equations. The semi-inverse variational principle (SVP) is used to construct exact soliton solutions of five complex nonlinear Schrödinger equations. Many new families of exact soliton solutions of five complex nonlinear Schrödinger equations are successfully obtained.     

Teleportation of three-dimensional single particle state in noninertial frames

Considering the spin degree of freedom of the Dirac field, we study the entanglement behavior of a different class of communication channel and teleportation of three-dimensional single particle state in noninertial frames. Numerical analysis shows that the communication channel in our scheme can offer enough distillable entanglement for the teleportation protocol. Moreover, the teleportation protocol could work well if Rob＇s acceleration is not very big, but the fidelity of the teleportation is still reduced due to the Unruh effect.     

无网格法在三维复杂超音速流场模拟中的应用研究

对最小二乘无网格方法在含复杂外形三维超音速流场中的应用进行了研究.选用分解法求解采用最小二乘法得到的对称方程组,针对最小二乘无网格方法的计算特点生成近似正交均匀分布的离散点,对B1AC2R常规导弹超音速流场采用最小二乘无网格方法进行了无粘数值模拟,计算了B1AC2R常规导弹在不同攻角下的轴向力、法向力及俯仰力矩系数,并将数值结果与实验结果进行了比较.结果表明,最小二乘无网格方法在求解含复杂外形超音速流场时具有较高的准确度,将其应用于三维含复杂外形超音速流场的模拟是完全可行的.     

三维荧光二阶校正同时测定人体液中伊立替康及其代谢物7-乙基-10-羟基喜树碱的含量

提出了激发发射矩阵荧光光谱与化学计量学二阶校正方法相结合用于同时快速定量人体液(血浆和尿液)中的伊立替康(CPT11)和其主要代谢产物7-乙基-10-羟基喜树碱(SN38)的绿色、高灵敏分析策略. 尽管其分析物之间以及分析物和背景之间的光谱存在严重重叠现象, 采用基于交替归一加权残差(ANWE)算法的二阶校正方法进行解析仍能得到令人满意的定性定量分析结果. 当该体系的组分数选取为3时, 可以得到血浆和尿液中CPT11的平均回收率分别为(96.8±6.3)%和(101.7±1.1)%, SN38在血浆和尿液中的平均回收率分别为(100.4±4.9)%和(101.6±1.1)%. 另外, 通过品质因子, 如灵敏度(SEN)、选择性(SEL)、检测下限(LOD)和定量检测限(LOQ)评估了该方法的准确性. 实验结果表明, 该方法能以“数学分离”代替繁琐的“物理和化学分离”, 成功地解决实际复杂体系中内源干扰物质与分析物光谱重叠所引起的难分辨的问题, 可用于人体液中CPT11和SN38含量的直接快速定量测定.     

频率约束的三维连续体结构动力拓扑优化设计

针对频率约束和结构重量最小的动力拓扑优化问题, 基于(independent continuous mapping, ICM)独立、连续、映射方法,建立了频率约束下的三维连续体拓扑优化模型. 利用瑞利商和一阶泰勒展式对频率约束进行了显式化处理,并采用幂函数与复合指数函数作为过滤函数,将优化模型进行了标准化转换, 利用对偶理论及数学规划法进行了求解. 另外,利用质量矩阵和刚度矩阵过滤函数比值与动态约束处理了局部模态和模态交换等数值问题. 最后,通过应用两类不同过滤函数的数值算例表明了文中模型及方法在处理动力拓扑优化问题上的合理性与有效性.