Navier‐Stokes equations,Haar wavelets and Reynolds numbers

The paper deals with global solutions of Navier‐Stokes equations with infrared‐damped initial data in the context of Haar wavelets and function spaces of type where .     

A mesh simplification strategy for a spatial regression analysis over the cortical surface of the brain

We present a new mesh simplification technique developed for a statistical analysis of a large data set distributed on a generic complex surface, topologically equivalent to a sphere. In particular, we focus on an application to cortical surface thickness data. The aim of this approach is to produce a simplified mesh which does not distort the original data distribution so that the statistical estimates computed over the new mesh exhibit good inferential properties. To do this, we propose an iterative technique that, for each iteration, contracts the edge of the mesh with the lowest value of a cost function. This cost function takes into account both the geometry of the surface and the distribution of the data on it. After the data are associated with the simplified mesh, they are analyzed via a spatial regression model for non-planar domains. In particular, we resort to a penalized regression method that first conformally maps the simplified cortical surface mesh into a planar region. Then, existing planar spatial smoothing techniques are extended to non-planar domains by suitably including the flattening phase. The effectiveness of the entire process is numerically demonstrated via a simulation study and an application to cortical surface thickness data.     

Fine singularity analysis of solutions to the Laplace equation

We present here a fine singularity analysis of solutions to the Laplace equation in special polygonal domains in the plane. We assume piecewise constant Neumann data on one component of the boundary. Our motivation is to study the so‐called Berg effect, which is explained in the introduction. Copyright © 2014 John Wiley & Sons, Ltd.     

二维柱坐标系辐射输运方程保球对称的离散纵标格式

 离散纵标格式是计算辐射输运方程的常用格式之一. 但是, 传统的离散纵标格式求解二维柱坐标系辐射输运方程模拟一维球对称问题时, 会出现明显的非对称现象, 球对称性被破坏. 针对该问题, 本文分析了传统离散纵标格式不能够保持球对称性的原因, 提出了空间基于柱坐标系、方向基于球坐标系的辐射输运方程, 并对该方程设计了新的离散纵标格式, 从理论上证明了当空间网格取球对称剖分时该离散格式能够保持一维球对称性的充分必要条件. 通过对真空球区域辐射输运、与物质耦合辐射输运等球对称算例的数值模拟, 验证了该格式的保球对称性, 球对称误差能够达到机器精度. 非对称辐射驱动模型以及非对称网格剖分条件下的数值模拟等算例也取得了较好的结果.     

Robust sampled‐data H∞ control for mechanical systems

This article addresses the issue of robust sampled‐data control for a class of uncertain mechanical systems with input delays and linear fractional uncertainties which appear in all the mass, damping, and stiffness matrices. Then, a novel Lyapunov–Krasovskii functional is constructed to obtain sufficient conditions under which the uncertain mechanical system is robustly, asymptotically stable with disturbance attenuation level about its equilibrium point for all admissible uncertainties. More precisely, Schur complement and Jenson's integral inequality are utilized to substantially simplify the derivation of the main results. In particular, a set of sampled‐data controller is designed in terms of the solution of certain linear matrix inequalities that can be solved effectively using available MATLAB software. Finally, a numerical example with simulation result is provided to show the effectiveness and less conservativeness of the proposed sampled‐data control scheme. © 2014 Wiley Periodicals, Inc. Complexity 20: 19–29, 2015     

Optical asymmetric watermarking using modified wavelet fusion and diffractive imaging

In most of the existing image encryption algorithms the generated keys are in the form of a noise like distribution with a uniform distributed histogram. However, the noise like distribution is an apparent sign indicating the presence of the keys. If the keys are to be transferred through some communication channels, then this may lead to a security problem. This is because; the noise like features may easily catch people׳s attention and bring more attacks. To address this problem it is required to transfer the keys to some other meaningful images to disguise the attackers. The watermarking schemes are complementary to image encryption schemes. In most of the iterative encryption schemes, support constraints play an important role of the keys in order to decrypt the meaningful data. In this article, we have transferred the support constraints which are generated by axial translation of CCD camera using amplitude-, and phase- truncation approach, into different meaningful images. This has been done by developing modified fusion technique in wavelet transform domain. The second issue is, in case, the meaningful images are caught by the attacker then how to solve the copyright protection. To resolve this issue, watermark detection plays a crucial role. For this purpose, it is necessary to recover the original image using the retrieved watermarks/support constraints. To address this issue, four asymmetric keys have been generated corresponding to each watermarked image to retrieve the watermarks. For decryption, an iterative phase retrieval algorithm is applied to extract the plain-texts from corresponding retrieved watermarks.     

基于CAN总线的遥测数据处理模块软件设计

随着飞行器电子综合化技术的发展,数据总线在飞行器中得到大量应用。为满足某飞行器总线系统测量的需求,本文设计了一种基于CAN总线的遥测数据处理模块。硬件部分主要由CAN总线驱动器模块、DSP数字信号处理模块、FPGA逻辑处理模块组成。软件设计包括TMS320F28335的初始化,CAN总线数据处理和外部中断处理三部分。该模块用于某飞行器双路CAN总线数据的采集及处理,并经过了多次飞行试验验证。该模块简化了系统设计,实现了高速、可靠的CAN总线遥测数据处理。     

运载火箭试验数据管理及可视化系统设计

针对现有运载火箭试验数据管理及可视化系统依赖于第三方功能插件,未实现纯浏览器端三维模型渲染及交互,系统对运行环境依赖性强、部署和维护成本高等问题,设计了基于JavaScript框架ExtJS和WebGL框架three.js的运载火箭试验数据管理及可视化系统。首先基于B/S架构设计了系统总体框架,然后针对二维图形数据传输延迟问题设计了基于Web Worker的数据读取方案,最后针对浏览器端三维模型渲染需求提出了基于VTK模型的转换算法,设计了三维模型渲染及交互方案。试验结果显示,本系统不依赖于运行环境和功能插件,能实现浏览器端二维图形和三维模型渲染及流畅交互,为兼容国产化操作系统、降低部署和维护成本创造了条件。     

基于多模差分融合的高速车辆定位算法

针对车辆高速运动下定位延时大、精度低、稳定性差的问题,发挥GPS、RSSI和INS三种定位模式的各自优势,将GPS差分校准算法与RSSI测距相结合求解横坐标,将RSSI测距与INS惯导迭代算法相结合求解纵坐标,提出了一种适合高速运动车辆的多模差分融合精确定位算法。以四车道的高速路为场景进行了仿真实验,当车速为70km/h时,跟踪误差<1m,定位延时<0.2s。实验结果表明,该算法可实现车身级和车道级定位,在精确交通诱导、车辆防撞等智能交通领域具有应用前景和推广价值。     

基于CPCI总线的雷达数据采集与控制系统显控软件设计

CPCI总线作为PCI总线的加固版本,目前已成为计算机上流行的高速外设接口总线。在工业自动化领域,进行数据采集和控制基本上也都是通过这一成熟技术来实现的。本文简要介绍该测量雷达和数据采集与控制系统的基本结构,以及CPCI总线标准,重点分析显控软件的功能需求,采用自顶向下的设计,并在VC环境下基于MFC架构利用多线程和双缓存技术以及多种ActiveX控件进行显控软件设计。实现了对测量雷达的控制以及对雷达回波的原始数据的实时存取和绘制。