An accurate gradient and Hessian reconstruction method for cell‐centered finite volume discretizations on general unstructured grids

In this paper, a novel reconstruction of the gradient and Hessian tensors on an arbitrary unstructured grid, developed for implementation in a cell‐centered finite volume framework, is presented. The reconstruction, based on the application of Gauss' theorem, provides a fully second‐order accurate estimate of the gradient, along with a first‐order estimate of the Hessian tensor. The reconstruction is implemented through the construction of coefficient matrices for the gradient components and independent components of the Hessian tensor, resulting in a linear system for the gradient and Hessian fields, which may be solved to an arbitrary precision by employing one of the many methods available for the efficient inversion of large sparse matrices. Numerical experiments are conducted to demonstrate the accuracy, robustness, and computational efficiency of the reconstruction by comparison with other common methods. Copyright © 2009 John Wiley & Sons, Ltd.     

荧光相位成像的光束扫描法

利用计算机控制振镜进行光束扫描，用锁相放大器进行增益调制与相位调节，最后再用计算机重建图像，实现钛宝石和红宝石的相位成像。分别完成了激发光和荧乐相移为π／１２、π／１４和７π／１２的成像，分析了系统的时间分辨率和空间分辨率，提出了实用化发展的方向。     

Non-interactive geometric probing: Reconstructing non-convex polygons

We address the problem of characterizing polygonal shapes that can be reconstructed from a class of scanners that have asymmetric resolution. We approach this problem using the methodology of non-interactive probing.

Laser raster scanners provide very high precision along the direction of a scan, but it is not practical to place scans very close to each other. A system capable of generating an omni-directional scan pattern can make a series of directional measurements sufficient to permit the reconstruction of a scanned polygon based on the position of edge crossings and the path of the scanning beam between edge crossings. We provide a procedure to reconstruct a polygon from such a data set, as well as a characterization of the shapes that can be reconstructed given a particular scan density. Our system applies to both concave and convex polygons, as well as to polygons containing holes.     

Observation of Electrostatic Microfield Inside Charged Latex Particles by Digital Reconstruction from Electron Holograms

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粘弹性介质中波场重建方法

传统的波动方程波场重建基于完全弹性介质，不能获得满意的地震资料分辨率，本基于能描述大地吸收弹性介质中地震波传播的斯托克斯波动方程．提出了一种新的多尺度粘弹性波动方程波场重建的方法，根据地震波传播核函数的物理特性，研究了一种新的物理小波，提出了小波多尺度波场重建方法。达到对吸收信息的补偿，提高地震资料的分辨率。     

Substitutional adsorption of K on Fe(100)

The adsorption of potassium on Fe(100) was studied by time-of-flight forward scattering and recoiling spectroscopy (TOF-SARS), low energy electron diffraction (LEED) and Auger electron spectroscopy (AES). After heating to 650 K of the potassium saturated surface the formation of a p(3 × 3) potassium superstructure was observed by LEED. TOF-SARS experiments ruled out the adsorption of potassium in the on-top, bridge and four-fold hollow site. The only site which is in agreement with all experimental results is the substitutional site where K replaces an Fe atom of the topmost layer of the crystal. This is the first time a substitutional adsorption site has been found on a bcc surface. On an fcc surface such an adsorption site has been found recently for adsorption of sodium and potassium on Al(111).     

基于混沌的三江平原月降水时间序列分析

三江平原是我国最大的淡水沼泽区,近年来降水的减少是导致湿地减少的一个重要的自然因素.别拉洪河是三江平原上比较有代表性的沼泽性河流.以别拉洪水文站的降水序列为例,通过相空间重构,分别计算了序列的关联维、最大Lyapunov指数以及Kolmogorov熵等几个序列特征量.计算表明:三江平原月降水序列中是存在明显的混沌特征的,这为以后建立三江平原月降水的混沌预测模型提供了理论依据.     

基于智能化信息处理的建筑工程造价短期预测

提出了一种新的基于智能化信息处理的建筑工程造价短期预测模型.该模型首次利用数据的高阶统计信息,提出了改进独立分量分析技术.通过构建适用于建筑工程造价的属性重构空间,挖掘出表征能力更强的造价独立属性,用于神经网络的学习和训练,从而建立了全新的建筑工程造价短期预测智能模型.该模型通过发挥独立分量分析强大的信号分离能力,增强了神经网络的学习效率,提高了预测精度.实例数据验证了文中所建模型的有效性.     

复杂轮廓表面激光检测及三维重构技术的研究

基于零件实物样件的几何模型反求技术已成为CAD/CAM领域中的研究热点之一。以航空航天用MJ螺纹为对象 ,对逆向工程中的两大关键技术———表面数字化及三维重构技术进行了分析和研究。提出了用一种新型激光光纤传感器实现复杂轮廓表面的非接触数字化检测方法 ,描述了测量原理。通过二维截面轮廓图重构三维面型 ,初步的实验结果验证了此方法的有效性和实用性     

A remark on the mallat pyramidal algorithm of wavelet analysis wavelet analysis

The exact relationships between the length of scale sequences and wavelet sequences in the Mallat pyramidal algorithm for computing wavelet transform coefficients are obtained, and the maximum possible scale of arbitrary discrete signal is derived.