全景图像几何畸变校正的算法研究及其软件实现

对于360°视场的全景图像,本文提出了分别对其进行切向和径向畸变校正的处理算法,并用插值处理提高处理精度。达到了将全景图像恢复为常规视场平面像的目的。它是进一步图像分析的前期工作。     

Gaussian Chaos Laws on Banach Function Spaces

We give a characterization of Gaussian chaos laws on Banach function spaces which do not contain ℓ _∞ ⁿ 's uniformly. The result is applied to describe the convergence in law of U-processes with sample paths in certain Banach function spaces. __________ Published in Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 553–566, October–December, 2005.     

一类暂留稳定过程的极限定理

本文研究了Ａ型暂留稳定过程在无穷远处的收敛速度，给出了一个重对数律．同时我们也得出了这类过程在起始点附近的一些性质．这些性质推广了［１］中的结果     

完备可分度量群上的齐次Levy过程的复合Poisson逼近

该文利用算子半群的方法给出了取值于具有左不变度量的完备可分群的齐次Levy过程是复合Poisson过程的弱极限这一结论．     

OU型Markov过程的不变测度及弱对偶性

本文研究ＯＵ型Ｍａｒｋｏｖ过程的不变测度、参考测度和弱对偶半群的存在性问题，并得出了不变测度的唯一性。     

GIRSANOV'S THEOREM ON ABSTRACT WIENER SPACES

ＧＩＲＳＡＮＯＶ’ＳＴＨＥＯＲＥＭＯＮＡＢＳＴＲＡＣＴＷＩＥＮＥＲＳＰＡＣＥＳＺＨＡＮＧＹＩＮＮＡＮＡｂｓｔｒａｃｔＬｅｔ（Ｅ，Ｈ，μ）ｂｅａｎａｂｓｔｒａｃｔＷｉｅｎｅｒｓｐａｃｅｉｎｔｈｅｓｅｎｓｅｏｆＬ．Ｇｒｏｓ．Ｉｔｉｓｐｒｏｖｅｄｔｈ...     

Computation of the quasi-stationary distributions inM(n)/GI/1/K andGI/M(n)/1/K queues

In this paper, we provide numerical means to compute the quasi-stationary (QS) distributions inM/GI/1/K queues with state-dependent arrivals andGI/M/1/K queues with state-dependent services. These queues are described as finite quasi-birth-death processes by approximating the general distributions in terms of phase-type distributions. Then, we reduce the problem of obtaining the QS distribution to determining the Perron-Frobenius eigenvalue of some Hessenberg matrix. Based on these arguments, we develop a numerical algorithm to compute the QS distributions. The doubly-limiting conditional distribution is also obtained by following this approach. Since the results obtained are free of phase-type representations, they are applicable for general distributions. Finally, numerical examples are given to demonstrate the power of our method.     

起爆药爆轰场和燃烧场的干涉法显示及其图像处理

本文介绍了利用脉冲YAG激光引爆起爆药产生爆轰流场或燃烧温度场,用时间序列干涉法首次获得了爆轰流场和起始燃烧过程的时间序列干涉图的实验结果.在此基础上,采用条纹曲线检测法和双三次多结点插值样条函数从干涉图上提取爆轰场冲击波的波阵面,并通过序列波阵面配准算法,定量地计算了冲击波的传播速度.同时,还定量计算了燃烧场温度随时间变化的分布.     

Stationary Distribution Function Estimation for Ergodic Diffusion Process

The problem of nonparametric stationary distribution function estimation by the observations of an ergodic diffusion process is considered. The local asymptotic minimax lower bound on the risk of all the estimators is found and it is proved that the empirical distribution function is asymptotically efficient in the sense of this bound.