一次教学实验仪器更新的尝试

探讨了教学实验仪器所面临的更新换代的新形势，结合视频光学投影比工主的研制论述更新的原则和方法。     

一般线性模型下方差最小范数二次无偏估计的稳健性

本文给出了一般线性模型下,由最小二乘得到的方差估计与最小范数二次无偏估计相等的充分必要条件,并且当Gauss-Markov估计与最小二乘估计相等时,可以得到一个简单的等价条件。     

Projector formalism of generalized Brownian motion theory applied to dissipative and noisy systems

The projector formalism of Zwanzig-Mori type is extended to obtain generalized Fokker-Planck and generalized nonlinear Langevin equations for coarse-grained variables when the underlying microscopic dynamics is dissipative and noisy (stochastic).     

三片式液晶投影仪的立体视觉研究

基于对三原色信号进行偏振特性的分析,提出了一种在三片式液晶投影显示设备上实现立体显示的新方法。该方法利用红色和蓝色信号光与绿色信号光在偏振方向上正交的特性,在信号通道之间引入视差,实现了三维立体显示。因此这种方法被称为补色偏振体视。介绍了该方法的基本原理,并详细叙述了用PHOTOSHOP软件制作补色偏振立体图对的方法。     

The PDE-preserving operators on nuclearly entire functions of bounded type

The PDE-preserving operators O on the space of nuclearly entire functions of bounded type H_Nb(E) on a Banach space E are characterized. An operator is PDE-preserving when it preserves homogenous solutions to homogeneous convolution equations. We establish a one to one correspondence between O and a set Σ of sequences of entire functionals, i.e. exponential type functions. In this way, algebraic structures on Σ, such as ring structures, can be carried over to O and vice versa. In particular, it follows that O is a non-commutative ring (algebra) with unity with respect to composition and the convolution operators form a commutative subring (subalgebra). We discuss range and kernel properties, for the operators in O, and characterize the projectors (onto polynomial spaces) in O by determining the corresponding elements in Σ. This revised version was published online in June 2006 with corrections to the Cover Date.     

Contravariant forms and extremal projectors

Tensor product of irreducible modules of highest weight over a semi-simple quantum group is completely reducible if and only if a natural contravariant form is non-degenerate when restricted to the span of singular vectors. We express this restriction through the extremal projector of the quantum group providing a computationally feasible criterion for complete reducibility of tensor products.     

Self-assembly of coil-rod-coil molecules into bicontinuous cubic and oblique columnar assemblies depending on coil chain length

Coil-rod-coil molecules 1–3, consisting of four biphenyls and a p-terphenyl unit linked together with ether bonds as a rod segment and poly(propylene oxide) (PPO) with a degree of polymerization (DP) of 7, 12, 17 as coil segments were synthesized. These molecules contain lateral methyl groups at 2 and 5 positions of the middle benzene ring of p-terphenyl. The self-assembling behavior of molecules 1–3 was investigated by means of DSC, POM and SAXS in the bulk state. Molecule 1 self-organizes into a lamellar structure in the bulk state and transfers into a bicontinuous cubic structure in the liquid crystalline phase. While, molecules 2, 3 containing longer coil chains than 1 self-assemble into the hexagonal perforated lamellar (HPL) structures and the oblique columnar structures in the solid state and liquid crystalline phase, respectively. These results reveal that self-organizing behavior of such molecules is dramatically influenced by the length of the coil chains connected with the rod building block, as well as the lateral methyl groups incorporating in the middle of the rod segment.     

一种基于RGB三基色LED的白光光源

数字光源处理(DLP)投影技术是投影显示的一个重要分支,基于发光二极管(LED)照明技术的DLP投影显示技术则是目前DLP技术的一个重要发展方向。根据DLP投影显示技术的需要,对一种新型的LED混光光源进行了优化设计和仿真计算,得到了一种适合于为DLP微型投影机提供照明的LED混光光源。该混光光源可以提高LED光源的DLP微型投影机的光通量。     

投影器的标定方法

随着近景摄影测量的发展,投影器的使用越来越频繁和广泛。为了更好地使用和充分地利用投影器,需要求解投影器的内方位元素,即对投影器进行标定。提出了一种方便有效的投影器标定的方法。只需要一架投影器、一部数码相机、一个平面格网和一台计算机,设备的连接和使用相对方便灵活。基于近景摄影测量的理论,结合二维直接线性变换(2D-DLT)和共线方程,运用图像处理的方法,利用光束法平差对投影器进行标定。实验及其结果证明了该标定方法的正确性和有效性。