基于图像的三维分层重构算法研究

文章研究在摄像机内参数不变的情况下,利用图像中场景的结构信息实现分层重构的方法。通过求解基础矩阵实现射影重构,通过求解无穷远平面单应矩阵实现仿射重构,利用虚圆点约束求解绝对二次曲线的像实现欧氏重构。实验表明所研究的算法是有效可行的。     

Computationally Efficient Algorithm For Frequency‐Weighted Optimal H∞ Model Reduction

In this paper, a frequency‐weighted optimal H_∞ model reduction problem for linear time‐invariant (LTI) systems is considered. The objective of this class of model reduction problems is to minimize H_∞ norm of the frequency‐weighted truncation error between a given LTI system and its lower order approximation. A necessary and sufficient solvability condition is derived in terms of LMIs with one extra coupling rank constraint, which generally leads to a non‐convex feasibility problem. Moreover, it has been shown that the reduced‐order model is stable when both stable input and output weights are included, and its state‐space data are given explicitly by the solution of the feasibility problem. An efficient model reduction scheme based on cone complementarity algorithm (CCA) is proposed to solve the non‐convex conditions involving rank constraint.     

离散H∞滤波系统最优范数计算的特征值算法

基于Riccati方程解的存在条件,建立了离散系统H_∞滤波问题的最优范数γopt与相关的Hamiltonian差分方程一阶特征值,以及矩阵广义特征值问题一阶特征值之间的对应关系.根据这一关系可以用求解特征值问题的算法计算最优H_∞范数.由于仅需计算一阶特征值,所以可用扩展Wittrick-Williams算法求解这一问题.     

二重Dirichlet级数与随机Dirichlet级数的迭代级数的收敛性

定义了上侧与下侧二重Dirichlet级数及由它们迭代的关于无穷乘积的无穷级数；在下侧二重Dirichlet级数的Knopp-Kojima公式基础上，通过引进一个随机变量序列，在概率空间（Ω,A，P）上定义了上、下侧二重随机Dirichlet级，建立了两类级数及其迭代级数的收敛性理论与Knopp-Kojima推广公式。     

实体式动力机器基础的振动分析

对实体式动力机器基础及其周围土体形成的动力相互作用体系在扰力作用下的振动特性进行了分析和研究,发现当有的相邻基础存在时,在一定的基础间距范围内,必须考虑他们振动时的相互影响。     

无穷时滞神经网络的全局稳定性

本文研究具有无穷时滞的神经网络的全局稳定性问题。通过拓广泛函数微分方程理论中的Ｒａｚｕｍｉｋｈｉｎ思想，获得了无十分简洁的稳定性准则。     

非线性参数估计中最优解的一个充分条件

估一类非线性参数估计问题中，当某个容许参的输出值与给定值的误差范数为局部极小时，如何判断这个参数是最优解。     

Convergent algorithms for frequency weighted L2 model reduction

This paper is concerned with computing an L₂-optimal reduced-order model for a given stable multivariable linear system in the presence of input and output frequency weightings. By parametrizing a class of reduced-order models in terms of an orthogonal projection and using manifold techniques as tools, both continuous and iterative algorithms are derived and their convergence properties are established. As an application, we show that an L₂ optimal reduced-order filter in the closed-loop sense can be computed using these algorithms.     

灌注桩有限元——无限元耦合分析

用有限元———无限元耦合数值方法，对现场试验灌注桩进行计算，并将其结果与试验结果作分析比较     

赋Orlicz范数的Orlicz序列空间的非方常数

给出两类赋Ｏｒｌｉｃｚ范数的Ｏｒｌｉｃｚ序列空间非方常数的表达式。