Metrics on the set of semimartingale filtrations

Let X be a stochastic process with cadlag paths. We consider the set of all filtrations under which X is a semimartingale, and we define a distance between such filtrations with the help of the bounded variation parts in the corresponding decompositions of X. We show that this distance is a complete metric on the set of semimartingale filtrations if the given process X is continuous.     

Three dimensional distribution of Brownian motion extrema

This paper describes the joint distributions of minima, maxima and endpoint values for a three dimensional (3D) Wiener process. In particular, the results provide the joint cumulative distributions for the maxima and/or minima of the components of the process. The method of images is used to derive explicit expressions for the densities; the analysis can only be carried out for special correlation structures and requires a detailed study of partitions of the sphere by means of spherical triangles. The joint densities obtained can be used in several applied fields such as financial mathematics to obtain analytical expressions for prices of options for the 3D geometric Brownian motion process.     

Can a latent image explain the characteristics of the Shroud body image?

The distribution of the fibrils that have yielded the body image on the Shroud is stochastic. In this paper, we show that the hypothesis of latent image can explain the chemical and physical characteristics of the above body image. It is also concluded that the “Shroud question” requires new radiocarbon dating done on a sample selected after careful chemical analysis.     

遥感干涉超光谱图像压缩编码

基于卫星干涉超光谱成像光谱仪成像原理的分析,提出了一种新的遥感超光谱图像压缩方案，利用成像推扫平移特性提出一种低存储量，帧间小波域匹配的序列压缩，只需存储两帧图像，比起单帧处理提高图像PSNR 3-4dB.为了保护图像的光谱特征，系统采用了一种新的感兴趣区域（Region of interest, ROI） 编码技术，使系统的压缩比提高8倍以上.该感兴趣区域（ROI）编码采用率失真优化斜率提升，而不是比特平面移位，使图像在相同的光谱分辨率下拥有更好的空间分辨率.试验数据表明，算法大大保护了图像的光谱特性，在8倍压缩比情况时，满足卫星干涉超光谱遥感图像要求.     

Simple consistent cluster methods based on redescending M-estimators with an application to edge identification in images

We use the local maxima of a redescending M-estimator to identify cluster, a method proposed already by Morgenthaler (in: H.D. Lawrence, S. Arthur (Eds.), Robust Regression, Dekker, New York, 1990, pp. 105–128) for finding regression clusters. We work out the method not only for classical regression but also for orthogonal regression and multivariate location and show that all three approaches are special cases of a general approach which includes also other cluster problems. For the general case we show consistency for an asymptotic objective function which generalizes the density in the multivariate case. The approach of orthogonal regression is applied to the identification of edges in noisy images.     

被动式自动对焦的数学模型及其机构

为了实现自动对焦 ,用几何光学中的物象关系式建构了镜头位移量与物距的数学模型 ,据此 ,采用光电耦合器件、电压保持电路等电子器件与机械传动部件相结合 ,实现了自动对焦 .对自动对焦系统的设计和维修有一定的参考价值     

Minimax theorems for set-valued maps without continuity assumptions

We introduce several classes of set-valued maps with new generalized convexity properties. We also obtain minimax theorems for set-valued maps which satisfy these convexity assumptions and which are not continuous. Our method consists of the use of a fixed point theorem for weakly naturally quasiconcave set-valued maps, defined on a simplex in a topological vector space, or of a constant selection of quasiconvex set-valued maps.