关于海域面积精确计算的若干问题探讨

海域面积精确计算是实现海洋功能区划的基础和关键之一。本文通过对江苏省海洋功能区划工作中误差的分析 ,并针对其产生原因 ,在地图投影的选择和坐标的变换、扫描精度的控制、配准精度的控制、图象的数字化和图形编辑等方面 ,提出了相应的优化处理方法 ,提高了海域面积计算的精度 ,将其中误差控制在估计值范围内 ,从而在实际工作中有一定的应用价值。     

Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar)

I present the derivation of the Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar), which is developed for adopting a non-diagonal background error covariance matrix in nonlinear variational analyses (i.e., analyses employing a non-quadratic cost function). POpULar is based on the idea of a linear preconditioned conjugate gradient method widely adopted in ocean data assimilation systems. POpULar uses the background error covariance matrix as a preconditioner without any decomposition of the matrix. This preconditioning accelerates the convergence. Moreover, the inverse of the matrix is not required. POpULar therefore allows us easily to handle the correlations among deviations of control variables (i.e., the variables which will be analyzed) from their background in nonlinear problems. In order to demonstrate the usefulness of POpULar, we illustrate two effects which are often neglected in studies of ocean data assimilation before. One is the effect of correlations among the deviations of control variables in an adjoint analysis. The other is the nonlinear effect of sea surface dynamic height calculation required when sea surface height observation is employed in a three-dimensional ocean analysis. As the results, these effects are not so small to neglect.     

GEBCO Centennial Special Issue – Charting the Secret World of the Ocean Floor: The GEBCO Project 1903–2003

This special issue of Marine Geophysical Researches presents five papers dealing with GEBCO, the General Bathymetric Chart of the Oceans, which celebrated its Centennial in April 2003, hosted by the International Hydrographic Bureau and the Principality of Monaco. Over the past 103 years GEBCO has been the sole body dedicated to compiling all available data to produce standardized maps of the oceans and seas covering 71% of planet Earth. Over time GEBCO has undergone a complete transformation as sparse 500 m contours on paper charts were replaced by digital grids with ever-increasing resolution. The 2003 Centennial saw the release on two CDROMS with the first global 1′ grid, produced by methods unheard of in 1984, when GEBCO’s last 6th Edition paper chart set was published. In GEBCO’s second century, the thrust is towards global grids that will capture the resolutions available with evolving deep-water swath mapping technologies, as well as vast improvement in the details of the shallow continental shelves that have traditionally been the preserve of the hydrographic community. As little more than 10% of the oceans have been mapped to the desired level of detail, there is much to be done. However refinements in satellite altimetry appear to offer an interim stop-gap as more multi-beam sonars ply the oceans and as the littoral countries of the world map their adjacent marine areas for submission under Article 76 of UNCLOS (United Nations, 1983, 1999). In addition GEBCO is becoming increasingly proactive, with outreach to the public via the internet and a new GEBCO Map of the World, active data-scrounging, and encouraging development of the first drifting buoys for acquiring data in the inaccessible areas of the Antarctic, SW Pacific, and Arctic Oceans.     

三对角系统的最佳向后扰动分析

用一种新方法研究了三对角方程组及对称三对角方程组计算解的最佳向后扰动分析。由于这两类方程组的系数矩阵具有特殊结构 ,因而本文结果不能从已有结果直接导出。所用方法亦可用于研究 KKT及 SQD等结构线性系统的最佳向后扰动分析。     

煤炭资源勘查误差理论研究

对煤炭资源勘查资源量与客观物质量之间差值的误差理论探讨,提出误差由真值误差、系统误差和离差3个基本部分组成,其中真值误差是不可消除的观测误差、系统误差是控制网度所决定的准确度标准、而离差是由地质构造及矿床形态的多解性产生的资源量波动。在此基础上,构筑了一个关于误差的数学模型,最后应用误差理论对现行勘查工作中常见的错误进行分析,并就如何避免错误及减少误差提出了见解。     

对提高导航型GPS定位精度之工作方法的探讨

论文主要介绍了导航型GPS坐标转换参数的计算方法和测量误差的改正方法。该方法的要点是通过实测多个公共点来计算坐标转换参数,以此获得较好的转换精度;并进一步对观测结果加以误差改正,从而提高其定位精度。     

基于BP神经网络的地图数字化误差纠正

由于在数字化采集过程中不可避免地会引入系统误差和异常误差,因此消除和削弱这些误差的影响是提高空间数据质量的关键。然而由于图纸变形不均匀,扫描误差又极其复杂,用常规的多项式拟合技术只能消除部分有规律的系统误差,很难完全消除它们对地图数字化坐标的影响。BP神经网络是一个高度非线性映射系统,能以任意精度逼近。结合地图数字化坐标改正的特点,本文给出了基于BP神经网络地图数字化坐标误差纠正的方法,并通过实例验证了该方法的有效性。     

基于小波变换与滤波的DEM简化方法

针对现有3维地形模型简化方法中的不足,提出了一种基于小波变换与滤波的规则格网简化方法。同时还在大量实验的基础上,给出了一般情况下需要的变换层数,分析了滤波门限与简化效果之间的关系。这里的研究不仅为3维地形的多分辨率合理建模与精度评估提供了理论和方法,而且也为今后开展类似研究及进行建模质量控制提供了科学的依据。     

地图误差对地图匹配质量的影响

高精度的数字地图是正确匹配车辆位置的基础。详细分析了地图数据的地理误差和拓扑误差的误差形式,路网数据模型的常见误差因素和改进策略,最后介绍了不同地图匹配算法对地图质量的敏感性和可行性。根据可能出现的误差对现有数字地图和匹配算法加以改进,弥补了原有数字地图带来的不精确缺陷。跑车实验证明,考虑了数字地图误差影响的匹配算法可以明显提高定位精度,减小车辆定位误差。